US2225928A - Multiple unit steerable antenna system - Google Patents

Multiple unit steerable antenna system Download PDF

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US2225928A
US2225928A US284400A US28440039A US2225928A US 2225928 A US2225928 A US 2225928A US 284400 A US284400 A US 284400A US 28440039 A US28440039 A US 28440039A US 2225928 A US2225928 A US 2225928A
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antenna
frequency
phase
line
length
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Douglas H Ring
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AT&T Corp
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Bell Telephone Laboratories Inc
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    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01QANTENNAS, i.e. RADIO AERIALS
    • H01Q3/00Arrangements for changing or varying the orientation or the shape of the directional pattern of the waves radiated from an antenna or antenna system
    • H01Q3/26Arrangements for changing or varying the orientation or the shape of the directional pattern of the waves radiated from an antenna or antenna system varying the relative phase or relative amplitude of energisation between two or more active radiating elements; varying the distribution of energy across a radiating aperture
    • H01Q3/30Arrangements for changing or varying the orientation or the shape of the directional pattern of the waves radiated from an antenna or antenna system varying the relative phase or relative amplitude of energisation between two or more active radiating elements; varying the distribution of energy across a radiating aperture varying the relative phase between the radiating elements of an array
    • H01Q3/34Arrangements for changing or varying the orientation or the shape of the directional pattern of the waves radiated from an antenna or antenna system varying the relative phase or relative amplitude of energisation between two or more active radiating elements; varying the distribution of energy across a radiating aperture varying the relative phase between the radiating elements of an array by electrical means
    • H01Q3/42Arrangements for changing or varying the orientation or the shape of the directional pattern of the waves radiated from an antenna or antenna system varying the relative phase or relative amplitude of energisation between two or more active radiating elements; varying the distribution of energy across a radiating aperture varying the relative phase between the radiating elements of an array by electrical means using frequency-mixing

Definitions

  • Another-object of the invention is to provide a method and means for permitting the steering ofthe maximum lobe of the multiple unit array atdifierent operating frequencies without alterin'g the relative positions of the phase changers foreach'operating frequency when the lengths of 'thehigh'fr'equency lines to the antennas are unequal,-- as in the-'case of a "system where the receiver is located at a point intermediate the array, an ddo not vary progressively in a simple ratio;
  • Another object'of the invention is to effect a saving in the amount of high frequency transmission line required between-the antenna units and the receiving station by locating the station at th middle, orat any other convenient interinediatepointbetweenthe ends, of a long antenna array.
  • the out-of-phase wave components absorbed by the various antenna units must be rendered in phase, at the receiver by means of phase shifters included between the antennas andireceive'r.
  • the arrangement should be such that the various antenna units deliver to the receiver an in-phase resultant for each of the simultaneously received frequencies included in a side-band of the incoming signal at which the maximum" lobe of the array is steered.
  • the various wave components will trav- 5 erse -plaths', of different lengths, forthe reason that the; paths in "space from -a given wave front corresponding to a given incoming wavefdir'ecen rnq e i li I a 'llre delayor time consumed byafwave com- 10 ponentat'a giyen frequency in'traveling through the space' path and thence through the'line'path tothe receiver'is; directly proportional to the of *"thelparticularlpath traversed; and for thepathso'f different lengths, the delays sui-" -fere'cl'tra'r'isrn i sls ion over the different length paths will-"be ,imequal; For i a given single frequency correction or compensation for the dif-" man e-1n pathlengths can be made by means
  • the phase at the output end of the line for each frequency will depend on thelength-of the line. If at a par-, ticular frequency the phase at the output end agrees with that at the input end, at another different frequency simultaneously transmitted 'over' the path, the corresponding phases at the ends of the path will be different, and the rate ofv change. in the phase shift will increase with .frequency; That is, the delay or phase char- In order to secure a maximum combined output at all frequencies, the delay, here defined as the rate ofphase change with frequency, must be equal in the two paths.
  • the total electrical lengths of the several paths to the receiver are made equal.
  • the delays in all paths are the same, and. at all frequencies in-phase addition occurs at the receiver.
  • this result is accomplished by the inclusion in each path of compensating intermediate frequency lines of such length or delay characteristics as to make all of the paths equal in effective length to the longest path for an assumed average incoming wave path or angle. This insures that the relative phase relations of the waves on all paths to the receiver shall be the same, and. therefore that in-phase combination shall occur at the receiver.
  • the steering or directing of the maximum lobe of a multiple unit antenna array is a matter which involves the changing of the absolute phase of the signals received.
  • the adjustment of the phase shifters differs with frequency; that is, if the reception of a wave of one frequency at a given steering angle is accomplished by a progressive adjustment of phase shifters by a certain number of degrees differential between them, the reception of a different frequency at the same steering angle will require the adjustment of the phase shifters at a different number of degrees differential between them.
  • the phase changers may be driven through gears having the ratio 1, 2, 3, etc. for steering purposes. But if the lines are unequal and do not vary in such simple ratio, the phases of the wave components efiective at the phase changers do not correspond with the phases at the antennas, and the steering control of the array is impaired.
  • Fig. 1 illustrates one embodiment of the invention, in which the receiving station is located intermediate the ends of the antenna array, in which the irregularities in the lengths of the paths are equalized by the introduction of compensating delay means in the intermediate frequency portions of the paths, and in which steering compensation for tuning changes is effected by proportioning the lengths of the beat oscillator paths to the lengths of the corresponding high frequency antenna lines; and
  • Fig. 2 illustrates a modification in which the compensating delay means are introduced in a common portion, instead of in individual portions, of the intermediate frequency lines, and the steering is lined up on an intermediate instead of the rear antenna unit.
  • reference characters A1 to Av'des ignate an array of horizontal rhombic receiving antennas assumed to extend in the plane of the. great circle including the distant cooperating station with which communication is desired.
  • the antenna units are not'necessarily of the rhombic type, but may be any type of directive unit.
  • the assumed direction of. the incoming wave is indicated by any of the arrows S1 to S7.
  • the wave direction may be included in the vertical plane containing the longitudinal array axis, or in a. vertical plane angularly related to the axis, that is, the angle between the wave front and the array axis may bein any vertical plane or in a horizontal plane.
  • Each of the antenna units excepting A4, which is at the receivin station, is connected along the array by a corresponding high frequency line HE'i to HFq, usually a coaxial, line, with its corresponding modulator or first detector D1 to D1.
  • Each of the first detectors is connected with a corresponding phase changer P01 to PCq by way of the corresponding intermediate frequency lines IF]. to IE7.
  • the combined. outputs of the branches controlled. by the phase changers pass by way of intermediate frequency amplifier IFA, low frequency detector LFD and low frequency amplifier LFA to the translation device T, which, in the present intance, is assumed to be a radio signal receiver.
  • each of the first detectors D1 to D7 the incoming energy from the. corresponding antenna units is intermod-ulated with the energy of a high frequency wave supplied by the beat oscillator BO over the beat oscillator line BOL and its various branches.
  • the beat oscillator and its line, as shown, are assumed. to be located at the receiving station.
  • the circuit interconnections between the various elements are represented in part by light lines and in part by heavy lines.
  • the light lines represent portions of the interconnections in which the transmission delay over the. circuit is either inconsequential or is the same for all paths.
  • the heavy lines represent portions of the interconnections having transmission delays which constitute factors in the equalization toward which the present invention is particularly directed.
  • the-lengths of the'various space paths to the su'cc'essive antennas of the array are diminished over the horizontal spacing intervals D according to' the'co'sine 'of the angle between the wave di- 1 wave front through each antenna to the cormotion and; the array axis.
  • Multiple unit-steerable antenna arrays of this character areordinarily'designed to be steered at any angle be- 205.
  • the transmission path from the advancing responding-phase changer is made up of a space portion, a high frequency transmission line por-,
  • each succeeding space path is 'diminishedby D cosine 6 until at antenna Aqthe length of the space path is zero.
  • the length of the highfrequency line becomes 2D for antenna A2, D for antenna A3, zero for antenna A4, D for antenna A5,,2D for. antenna A6 and 3D forf antenna A7. Therefore, the. length. of the paths as far as the first detectors may be rep- Antenna Space 6D cos. 5..” 5D cos. 5..-.
  • Space paths and transmission lines have linear delay or phase-frequency characteristics; that is,.the phase shift is a linear function of frequency, and the delay or rate .of change of phase Y shift with frequency is proportional to the length of the path or line, which, in the system under consideration, includes both space portions-and transmission line portions.
  • phase disagreement of varying degree obtains at the remaining frequencies and at some particular frequency the outputs are 180 degrees out of phase. Consequently, the outputs from the various lines cannot be combined in phase for all frequencies unless the lengths of the path are made effectively equal.
  • the ratio of the velocity of transmission through space to the transmission velocity over the high frequency lines and the ratio of the velocity in space to the transmission velocity over the intermediate frequency lines are factors enteri'ng into the determination-of the exact values solute phases of: the various paths at the point where the outputs are combined. For'the re-' of the additions in the intermediate frequency lines to equalize the delays in all of the paths. For high frequency and intermediate frequency lines ordinarily employed in receiving systems these ratios are each equal to 0.933.
  • the steering of the maximumlobe or lobes of line to a multiple unit steerable antenna system is a matter which involves the changing of the abception of any given frequency the steering of the maximum lobe requires only the relative setting of all phases correctly, regardless of the path delays.
  • the delays in the system determine the breadth of the band of frequencies that can be received without altering the relative positions of the phase changing units.
  • steering may be accomplished by gearing the phase shifters together in a 1, 2, 3, etc. ratio, and it will not be necessary to alter the relative phase changer settings when the system is tuned to a new frequency.
  • the high frequency lines from the antennas to the first detectors vary in any multiple of the gear ratios, compensation may be effected by turning the master control, and the relative phase changer settings will not need to be altered for changes in the frequency of the incoming carrier.
  • An example of such a multiple unit array with uniformly spaced units and uniformly graded gear control of the phase changers is presented in the previously mentioned patent to Friis.
  • the frequency of the beat oscillator BO must be changed for each. different high frequency carrier for which the system is tuned.
  • The'change in the frequency supplied by the beat oscillator must correspond to and be the same as the frequency difference between the carriers in tuning from one to another.
  • the absolute change in frequency over the high frequency line is the same as the absolute change in frequency over the line that extends to the first detectors from the beat oscillator.
  • the change in phase shift on any line of given length is proportional to the absolute change in frequency and to the length of the line.
  • the phases of the beat oscillator waves supplied to the detectors have the same relation, at any tuning frequency, as the phase shifts introduced by the high frequency lines in the currents suppliedto the detectors; and the output currents of the detectors have the same phase relation as the components' absorbed by the antenna units.
  • phase shift in each beat oscillatordetector line nullifies the phase shift introduced by the associated antenna-detector line whereby the first detectors are in effect positioned at the terminals of the antenna units and directly connected thereto, and upon a change in tuning frequency steering may be accomplished without calibrating the phase shifters.
  • Fig. 1 Such an arrangement is illustrated in Fig. 1 in which the effective lengths of the paths from the beat oscillator B0 to the various first detectors D1 to D7 are made equal in each case to the length of high frequency line that extends from each particular first detector to the corresponding antenna of the array.
  • the length of beat oscillator line from the oscillator to the point 01 is a length D
  • the length of line from the beat oscillator to the point 02 is 2D
  • the length from the oscillator to point 03 is 3D.
  • the connections from point 01 are made to the two detectors D3 and D5, each one of which is connected with its corresponding antenna by a length D of high.
  • the connection of the ⁇ beat oscillator with the detector D4 is by means of a connection which is directly from the oscillator and is assumed to be of zero length to match the zero length of high frequency line which is assumed to connect detector D4 with its correeach and sponding antenna.
  • the beat oscillator is connected with the ,detectorsvover beat oscillator lines the lengths of which in each case are equal .to the lengths of the corresponding lines from the detectors to theantenna units of the array.
  • the phase changers may be geared to- ;gether in a 1,2, 3, etc. ratio and all operated from a single drive shaft without adjustment upon a change in tuning frequency.
  • each of the first detectors or modulators D1 to D7 is directly connected with its associated phase changer P011 to PCrz.
  • the outputs of all but PC11 of the phase changers are connected with the common'intermediate frequencyamplifier D 'A through part or all of the compensating intermediate frequency line
  • Each of the three sections of the line IF has a delay equal to 2D. The longest path, that by way of antenna A4,
  • detector D1 and phase changer P011 is connected directly with the intermediate frequency amplifier IFA, and has no delay in this portion of the intermediate frequency circuit.
  • the path from antenna A2 through detector D2 and phase changer P012 is so connected with the intermediate frequency delay path that it suffersa compensating delay of 2D.
  • the path from x antenna A3 is delayed 4D in the intermediate frequency path, and the branches from antennas A4 to A1 each include the entire length of the intermediate frequency; path IF and are each delayed 6D.
  • the over-alllengths ofall -of the paths are thus equalized, and the condition for in-phasecombination for .maximum output over a theoretically infinite band of frequencies is established.
  • phase changers are arranged in two separate groups.
  • One group includes phase changers P011, P0 2- and P013 and the other group includes phase changers P015, P016. and P017.
  • phase changer PC 14 associated with the first detector of the middle-antenna A lof the array is in a sense adummy, as this antenna,.being.the referencewith respect to which the phases of the other two groups of antenna paths are shifted, requires no shifting of phase in the steering oper ation.
  • Each of the groups of phase changers is driven by a separatev shaft having uniformly graded gear connections with a 1, 2, 3. ratio, as
  • the common driving mechanism is arranged to drive the two groups of phase changers in opposite directio v,
  • delay networks or from one side of the carrier frequencies tothe o groups of phase changers from each other, rotate artificial lines constructed to have delay characteristics equivalent to those of the compensating intermediate frequency lines or to the compensating oscillator lines may be substituted for such lines if desired.
  • the principles of the invention may be utilized in an array designed for horizontal and/or vertical steering of the directional characteristic and that antennas designed for utilization of vertically polarized components instead of antennas designed to employ horizontally polarized components may be used.
  • an antenna array com.- prising a plurality of antenna units, a translation device, separate lines connecting said translation device to each antenna unit and each having a Wave velocity differing from the wave velocity in space, and means included in certain of said lines for compensating for the difference in said line and space velocities, whereby the paths traversed by the wave components intercepting said units and extending from a desired wave front to the translation device are substantially equal in electrical length and have the same delay or phase-frequency characteristic.
  • an antenna array comprising a plurality of antenna units, a translation device located at a point intermediate the ends, of the array, separate lines each including an intermediate frequency portion and a high frequency portion connecting said translation device to each antenna suit, the intermediate frequency portions of certain of said lines having lengths such that the phase-frequency characteristics of the paths traversed by the Wave components intercepting said units and extending from the received wave front to the translation device are substantially the same.
  • an antenna array comprising a plurality of antenna units positioned to receive a desired Wave end on, a modulator and a phase changer for each unit at a terminal station located intermediate the ends of said array, a translation device at said station, a transmission line for each unit consisting of a high frequency portion connecting the unit to the corresponding modulator and an intermediate frequency portion connecting the modulator to the corresponding hase changer, and a common intermediate frequency line extending to said translation device, said phase changers being connected to said intermediate frequency line at points such that the paths traversed by the wave components intercepting said units and extending from the wave front to the translation device are substantially equal in electrical length.
  • an antenna array comprising a plurality of antenna units, a modulator connected to each unit, a beat frequency oscillator connected to said modulators, the transmission lines extending from each modulator to the associated antenna unit and from each modulator to the beat oscillator being substantially equal in length, a separate phase changer connected to the output terminals of each modulator, and a translation device connected to said phase changers.
  • an antenna array comprising a plurality of antenna units, a translation device at a terminal station located intermediate the ends of said array, a plurality of modulators at said terminal station one for each of said units, a beat frequency oscillator at said station connected with each of said modulators, the transmission lines extending from each modulator to the corresponding antenna unit and from each modulator to the beat frequency oscillator being substantially equal in length, and a separate phase changer connected between each modulator output and said translation device.
  • an antenna array comprising a plurality of antenna units, a terminal station located at a point intermediate the ends of the array, a plurality of modulators at said terminal station one for each of said units, a line connecting each unit with its modulator, a translation device at said station, a beat frequency oscillator connected to said modulators, each modulator being connected to said oscillator through a length of transmission line such that the difference between the lengths of the lines connecting successive pairs of units with their modulators taken pair by pair in one direction along the array plus the difference between the lengths of transmission lines connecting the oscillator to the modulators of successive corresponding pairs of units taken in the other direc tion along the array shall equal a constant having the same value for all the successive pairs of units along the array, a connection between each modulator output and said translation device, and a separate phase changer included in each of said connections.
  • an antenna array com prising a pluralityof antenna units positioned to receive a desired wave end on, a translation device at a terminal station located intermediate the ends of said array, a modulator at said station for each unit and having connection with such unit, the paths traversed by the wave components intercepting said units and extending from the received wave front to the translation device by way of said modulators being substantially equal in length, a beat frequency oscillator connected to said modulators, the transmission lines extending from each modulator to the associated antenna unit and from each modulator to the beat oscillator being substantially equal in length, and a separate phase changer connected between each modulator output and said translation device.
  • a multiple unit array which consists in conducting to the terminal station the signal frequencies received at the various units, modulating each signal frequency with a beating oscillator frequency conveyed over a transmission path equal in length in each case to the length of transmission path from the corresponding unit to produce intermediate frequencies of uniformly related phase differences, and controlling the phases of the intermediate frequencies for combination iii-phase at a receiver.
  • an array comprising at least two antenna units connected to a translation device by separate lines of difierent physical length, the wave velocity on said lines being different from the wave velocity in space, said physical length difference being related to the angle between the array axis and the desired wave direction and to the difference in said velocities, whereby the paths extending from the desired wave front to said device and each in cluding an antenna unit and associated line have equal electrical lengths and equal phase-frequency or delay characteristics.
  • a linear array comprisa given direction, utilizing separate vlines'for connectingsaid'units to said receiver, which com- ,prises ascertaining the difierences in line length required to render"; equal inphysical length the ing a plurality of antenna units connected by separate lines to a translation device, the anglebetween the array axis and the desired direction of radiation or reception being acute, the line and space velocities being different, the lines connected to adjacent units being adjusted.- to differ in actual length an amount dependent upon said angle and the difference between said velocities.

Description

Dec. 24, 1940. D, H, RING MULTIPLE UNIT STEERABLE ANTENNA SYSTEM Filed July 14, 19:59
22 Sheets-Sheet l 3$ mm H UQMJ QQ H .N
uvva/vrop D. H. RING 5y i V q Dec. 24, 1940. D. H. RING MULTIPLE UNIT STEERABLE ANTENNA SYSTEM Filed July 14, 1939 2 Sheets-Sheet 2 INVENTOR By a/z /Nc 4 A T TORNE'V of either reception or transmission or both in. a multiple unit steerable antenna system.
UNITED STATES Patented Dee. 24, 1940 3 MULTIPLE. UNIT s EERgBnE SYSTE Douglas H. Ring, Red BankjN assi n ri Bell Telephone Laboratories,Incorporated, New
.York, N.VY., a corporation of New Application July 14, 1930,-Se
11 Claims. (oi.,25 .,-1-1-) I invention" relates to radio communication systems, and more particularly to methods and means forcontrolling and improving the quality "The invention is particularly concerned with multiple unit antenna systems generally'of the 'typeclisclosed in Patent 2,041,600 of H. T. Friis,
issued May 19, 1936.
-' -Qne'of theobjects of the invention is to effect bandwidth compensation in order tofsecure a maximum output over a theoretically infinite band of frequencies when the maximum lobe'of I 'amultiple unit antenna array issteered to coincide with the average incoming wave path or angle of the incoming carrier wave. I
Another-object of the invention is to provide a method and means for permitting the steering ofthe maximum lobe of the multiple unit array atdifierent operating frequencies without alterin'g the relative positions of the phase changers foreach'operating frequency when the lengths of 'thehigh'fr'equency lines to the antennas are unequal,-- as in the-'case of a "system where the receiver is located at a point intermediate the array, an ddo not vary progressively in a simple ratio;
Another object'of the inventionis to effect a saving in the amount of high frequency transmission line required between-the antenna units and the receiving station by locating the station at th middle, orat any other convenient interinediatepointbetweenthe ends, of a long antenna array. 1 l v v Otherobjects and features will appear hereinafter in connection with the description of the preferred embodiments of the invention.
' A multiple unit steerable antenna array, such 'as that disclosed in the above-mentioned Friis patent, is an end=on system and is designed to receive'waveszha'ving' a direction of arrival ,included "in the. vertical plane of the array, and ordinarily making an angle less than forty degrees with the-horizontal. -In order to secure a maximum effect at the receiver for a given incoming direction, as, for example, a horizontal direction, the out-of-phase wave components absorbed by the various antenna units must be rendered in phase, at the receiver by means of phase shifters included between the antennas andireceive'r. To secure the maximum output at the receiver, the arrangement should be such that the various antenna units deliver to the receiver an in-phase resultant for each of the simultaneously received frequencies included in a side-band of the incoming signal at which the maximum" lobe of the array is steered. If the unitfantennas of the "array are connected to the receiver" or phase changers by lines of equal length the various wave components will trav- 5 erse -plaths', of different lengths, forthe reason that the; paths in "space from -a given wave front corresponding to a given incoming wavefdir'ecen rnq e i li I a 'llre delayor time consumed byafwave com- 10 ponentat'a giyen frequency in'traveling through the space' path and thence through the'line'path tothe receiver'is; directly proportional to the of *"thelparticularlpath traversed; and for thepathso'f different lengths, the delays sui-" -fere'cl'tra'r'isrn i sls ion over the different length paths will-"be ,imequal; For i a given single frequency correction or compensation for the dif-" man e-1n pathlengths can be made by means of phase shifter'S'f-One of the problemstoward the solution ofwhich the present invention is directed is that'of compensating; for all ofthe several frequencies that" constitute 'the carrier and its side-bands, and thus securing maximum output over a very wide and theoretically infinite 5 band of frequencies. f
Assuming ;a path of given length and several frequencies applied thereto, the phase at the output end of the line for each frequency will depend on thelength-of the line. If at a par-, ticular frequency the phase at the output end agrees with that at the input end, at another different frequency simultaneously transmitted 'over' the path, the corresponding phases at the ends of the path will be different, and the rate ofv change. in the phase shift will increase with .frequency; That is, the delay or phase char- In order to secure a maximum combined output at all frequencies, the delay, here defined as the rate ofphase change with frequency, must be equal in the two paths. Since space and line paths have linear delay or phase-frequency char-- acteristics, it'is only necessary to make the over- 5 all characteristics the same for all paths. In accordance with the present invention, the total electrical lengths of the several paths to the receiver, each of which paths comprises a space portion and line portions, are made equal. Thus the delays in all paths are the same, and. at all frequencies in-phase addition occurs at the receiver.
Specifically, in the preferred embodiment of the invention herein disclosed this result is accomplished by the inclusion in each path of compensating intermediate frequency lines of such length or delay characteristics as to make all of the paths equal in effective length to the longest path for an assumed average incoming wave path or angle. This insures that the relative phase relations of the waves on all paths to the receiver shall be the same, and. therefore that in-phase combination shall occur at the receiver.
The steering or directing of the maximum lobe of a multiple unit antenna array is a matter which involves the changing of the absolute phase of the signals received. For a given desired direction of reception the adjustment of the phase shifters differs with frequency; that is, if the reception of a wave of one frequency at a given steering angle is accomplished by a progressive adjustment of phase shifters by a certain number of degrees differential between them, the reception of a different frequency at the same steering angle will require the adjustment of the phase shifters at a different number of degrees differential between them. If the lines from the antennas to the receiver are of equal length or differ in length in accordance with a simple ratio, the phase changers may be driven through gears having the ratio 1, 2, 3, etc. for steering purposes. But if the lines are unequal and do not vary in such simple ratio, the phases of the wave components efiective at the phase changers do not correspond with the phases at the antennas, and the steering control of the array is impaired.
In accordance with another feature of the present invention, whatever phase changes are introduced by dissimilar antenna spacing and corresponding differences in the lengths of the high'frequency lines connecting each antenna to the associated first detector arebalanced or eliminated by establishing a certain relationship between the lengths of the beat oscillator lines and the corresponding antenna high frequency lines extending to the first detectors of the various antenna units; as by making each beat oscillator line that extends to a certain detector equal in length to the high frequency line that extends from the antenna to that same detector. With this relationship established, upon a change in beat oscillator frequency, in the process of tuning to a different incoming frequency and at the same time maintaining the intermediate frequency constant, the same absolute frequency change occurs in the beat oscillator line frequency as occurs in the frequency that is coming inover the high frequency line. This has the effect of changing the phases equally. Since the beat oscillator is common to all detectors, the intermediate frequency currents have the same relative phases at the new frequency as they had at the original frequency. Signal wave delay is not affected since the line from the beat oscillator does not convey the signal currents.
The invention will be more readily understood from the following detailed description, when taken in connection with the accompanying drawings in which:
Fig. 1 illustrates one embodiment of the invention, in which the receiving station is located intermediate the ends of the antenna array, in which the irregularities in the lengths of the paths are equalized by the introduction of compensating delay means in the intermediate frequency portions of the paths, and in which steering compensation for tuning changes is effected by proportioning the lengths of the beat oscillator paths to the lengths of the corresponding high frequency antenna lines; and
Fig. 2 illustrates a modification in which the compensating delay means are introduced in a common portion, instead of in individual portions, of the intermediate frequency lines, and the steering is lined up on an intermediate instead of the rear antenna unit.
Referring to Fig. 1, reference characters A1 to Av'des ignate an array of horizontal rhombic receiving antennas assumed to extend in the plane of the. great circle including the distant cooperating station with which communication is desired. The antenna units are not'necessarily of the rhombic type, but may be any type of directive unit. The assumed direction of. the incoming wave is indicated by any of the arrows S1 to S7. The wave direction may be included in the vertical plane containing the longitudinal array axis, or in a. vertical plane angularly related to the axis, that is, the angle between the wave front and the array axis may bein any vertical plane or in a horizontal plane.
Each of the antenna units excepting A4, which is at the receivin station, is connected along the array by a corresponding high frequency line HE'i to HFq, usually a coaxial, line, with its corresponding modulator or first detector D1 to D1. Each of the first detectors is connected with a corresponding phase changer P01 to PCq by way of the corresponding intermediate frequency lines IF]. to IE7. The combined. outputs of the branches controlled. by the phase changers pass by way of intermediate frequency amplifier IFA, low frequency detector LFD and low frequency amplifier LFA to the translation device T, which, in the present intance, is assumed to be a radio signal receiver.
'At each of the first detectors D1 to D7 the incoming energy from the. corresponding antenna units is intermod-ulated with the energy of a high frequency wave supplied by the beat oscillator BO over the beat oscillator line BOL and its various branches. The beat oscillator and its line, as shown, are assumed. to be located at the receiving station.
The circuit interconnections between the various elements are represented in part by light lines and in part by heavy lines. The light lines represent portions of the interconnections in which the transmission delay over the. circuit is either inconsequential or is the same for all paths. The heavy lines represent portions of the interconnections having transmission delays which constitute factors in the equalization toward which the present invention is particularly directed.
Assuming first that the direction of reception is at zero angle, that is, a wave arriving in the horizontal plane of the antenna array and in a direction coinciding with the array axis, it is evident that the wave front, which in the assumed case is vertical, reaches the antenna A7 first and passes thes'uccessiveantennas of the "array; finally passing antenna A1. 1
- "With the antennas spaced apart by intervals D, whichlmay be assumed to be equal, the length traversed by the wave in its passage from antenna Avto' antenna A -is equal to 6D. Considering antenna- -A7', -'as the reference point, the length of the space path to'antenna A6 is D, to A5 is2D, t'-}A4- 'is= 3D, to A3 is 4D, to A2 is 5D and to antenna: A1 fis 6D. If the angular direction of approach of the waveis greater than the zero an'gle, the-lengths of the'various space paths to the su'cc'essive antennas of the array, represented by S1 to S7 for the various units, are diminished over the horizontal spacing intervals D according to' the'co'sine 'of the angle between the wave di- 1 wave front through each antenna to the cormotion and; the array axis. Multiple unit-steerable antenna arrays of this character areordinarily'designed to be steered at any angle be- 205.
tween; zero and approximately forty degrees. The transmission path from the advancing responding-phase changer is made up of a space portion, a high frequency transmission line por-,
tion, and an intermediate frequency transmission line portion. -The condition that mustbe satisfi'edin order that the relative phases at'the outputsfofall of the paths shall remain fixed'for all frequencies and shall therefore add properly at the receiver, is that the effective or. electrical lengths of all of the'paths from the advancing wave front by way-ofthe antenna units to the receiver shall be equal. In the arrangement shown in Fig. 1, there is a wide diversity in the responding first detectors.
lengths ofthe respective paths from the advancing wave front, shown as the broken line WF intersecting the antenna A7, to the cors pace portion of the path from the advancing wave front to antenna A1 is 6D cosine 6 and the I high frequency line portion of the path by way of I-IE1 has a length of 3D. Proceeding alongthe resented as follows:
line of the array each succeeding space path is 'diminishedby D cosine 6 until at antenna Aqthe length of the space path is zero. On
account of the central disposition of the receiving station with respect to the antenna array, in 'theembodiment of the invention shown, the length of the highfrequency line becomes 2D for antenna A2, D for antenna A3, zero for antenna A4, D for antenna A5,,2D for. antenna A6 and 3D forf antenna A7. Therefore, the. length. of the paths as far as the first detectors may be rep- Antenna Space 6D cos. 5.." 5D cos. 5..-.
" Space paths and transmission lines have linear delay or phase-frequency characteristics; that is,.the phase shift is a linear function of frequency, and the delay or rate .of change of phase Y shift with frequency is proportional to the length of the path or line, which, in the system under consideration, includes both space portions-and transmission line portions. With paths of diverse lengths as indicated above, it is obvious that it several frequencies are being transmitted over the paths the phase shifts on the two paths will I differ at all, except possibly one, of the trans- The length of the I High frequency mitted frequencies whereby while complete phase agreement may result at the-above-mentioned frequency when the line outputs are combined,"
phase disagreement of varying degree obtains at the remaining frequencies and at some particular frequency the outputs are 180 degrees out of phase. Consequently, the outputs from the various lines cannot be combined in phase for all frequencies unless the lengths of the path are made effectively equal.
As shown in the system of Fig. 1, this is accomplished by the inclusion in eachpath of compensating intermediate frequency lines of such length that-all the paths'from the various antennas of the array are made equal in length or delay to the longest path for the average assumed incoming wave direction or angle. In other words, the over-all delays in all of the paths are made equals By reference to the precedin'gtabulatiomit will be seen that the longest path is that by way of antenna A1, the space portion having a length of 6D cosine 6 and the high frequency transmis- 'sion line portion having a length of 3D. Therefore, to make the effective lengths of all the paths thesame, there is added'to the path in each of the intermediate frequency lines IF1 to IFv, sufg ficient length of line or its delay equivalent to bring the totalv for each path up to 3D+6D cosine 6. The path lengths thus added in the various intermediate frequency lines are indicated on Fig. Land are as follows:
' ponent frequencies are the same at the output terminals of the various. paths .and at each frequency the combined output energies produce a maximum -resultant,;and the .width of the frequency. band is theoretically infinite.
This is the relation which holds with respect to the particularangle of incidence 6 that is chosen .When the maximum lobe of the array is .steeredfat a different angle of incidence, the
lengths of the space paths fromgthe'wave front' to the various units of the array are altered proportionatelyto the cosine of the new angle; and
slight alterations of the D cosine 6 additions to the various intermediate frequency lines become necessary in order to maintain an. exact in-phase relationship between the output energies of the various paths. But in practice 'it is sufficient to proportion-theintermediate frequency line additions to the mean or weighted average angle of reception. When this is done the effect of variations in the steering angle upon the proper phase relations at the output terminals of the paths is minimized, and substantially in-phase combinations over-a broad band of frequencies are maintained.
' The ratio of the velocity of transmission through space to the transmission velocity over the high frequency lines and the ratio of the velocity in space to the transmission velocity over the intermediate frequency lines are factors enteri'ng into the determination-of the exact values solute phases of: the various paths at the point where the outputs are combined. For'the re-' of the additions in the intermediate frequency lines to equalize the delays in all of the paths. For high frequency and intermediate frequency lines ordinarily employed in receiving systems these ratios are each equal to 0.933.
The conditions for infinite band width at any angle of incidence in the general case have been derived and are expressed in the following equation:
D cos. VS(LS2 LS1) +Vi(Li2-Li1) where 'D=a'ntenna spacing in meters 5=between the array axis and the wave di-' rection for which efficient operation over an infinite band width is desired vs ratio of space velocity to high frequency line velocity V1=ratio of space: velocity to intermediate frequency line velocity L51==length of high frequency signal antenna I in meters Lsz length of high frequency line to'antenna 2 in meters Ln 'length of intermediate frequency line in antenna I path in meters Lizzlength of intermediate frequency line in antenna 2 path in'meters The above equation shows that for any arbitrary lengths of L51 and LS2 the conditions for th'eoreticallyinfinite bandwidths for any angle of incidence may be fulfilled by correctly adjusting the difference (Lz'2-Lil).
The steering of the maximumlobe or lobes of line to a multiple unit steerable antenna system is a matter which involves the changing of the abception of any given frequency the steering of the maximum lobe requires only the relative setting of all phases correctly, regardless of the path delays. When the relative phases of the outputs of all the paths are correctly set for the proper steering angle at a particular frequency, the delays in the system determine the breadth of the band of frequencies that can be received without altering the relative positions of the phase changing units.
In a system in which the high frequency lines from the antennas to the first detectors are equal, steering may be accomplished by gearing the phase shifters together in a 1, 2, 3, etc. ratio, and it will not be necessary to alter the relative phase changer settings when the system is tuned to a new frequency. Also, if the high frequency lines from the antennas to the first detectors vary in any multiple of the gear ratios, compensation may be effected by turning the master control, and the relative phase changer settings will not need to be altered for changes in the frequency of the incoming carrier. An example of such a multiple unit array with uniformly spaced units and uniformly graded gear control of the phase changers is presented in the previously mentioned patent to Friis.
Where, as in the present case, this simple relationship of antenna unit spacing and high frequency line ratios does not exist, means must be provided for compensating for the departure from uniformly progressive phase differentials at the phase changers that is consequent upon dissimilar antenna spacing and dissimilar variation in the relative lengths of the high frequency lines.
Assuming that the frequency in the intermediate frequency lines is to be maintained constant, the frequency of the beat oscillator BO must be changed for each. different high frequency carrier for which the system is tuned. The'change in the frequency supplied by the beat oscillator must correspond to and be the same as the frequency difference between the carriers in tuning from one to another. Thus, if we assume a fixed 1 frequency of one megacycle for the intermediate other, the absolute change in frequency over the high frequency line is the same as the absolute change in frequency over the line that extends to the first detectors from the beat oscillator. The change in phase shift on any line of given length, however, is proportional to the absolute change in frequency and to the length of the line. Hence it is possible to add lengths of line to the beat oscillator paths to compensate for the changes that take place in the signal carrier phases over the irregularly related lengths of :high frequency.
line when the tuning of the system is altered from one signal carrier frequency to another. More specifically by making the two lines from each detector, one to the antenna and the other to thebeat oscillator, equal in length the phases of the beat oscillator waves supplied to the detectors have the same relation, at any tuning frequency, as the phase shifts introduced by the high frequency lines in the currents suppliedto the detectors; and the output currents of the detectors have the same phase relation as the components' absorbed by the antenna units. Stated differently, the phase shift in each beat oscillatordetector line nullifies the phase shift introduced by the associated antenna-detector line whereby the first detectors are in effect positioned at the terminals of the antenna units and directly connected thereto, and upon a change in tuning frequency steering may be accomplished without calibrating the phase shifters.
Such an arrangement is illustrated in Fig. 1 in which the effective lengths of the paths from the beat oscillator B0 to the various first detectors D1 to D7 are made equal in each case to the length of high frequency line that extends from each particular first detector to the corresponding antenna of the array. In Fig. 1 it may be assumed that the length of beat oscillator line from the oscillator to the point 01 is a length D, that the length of line from the beat oscillator to the point 02 is 2D, and that the length from the oscillator to point 03 is 3D. The connections from point 01 are made to the two detectors D3 and D5, each one of which is connected with its corresponding antenna by a length D of high. frequency line; from the point 02 of the oscillator line BOL connection is made with the two detectors D2 and De, each of which is connected with its corresponding antenna by a length 2D of high frequency line; and from the point 03 of beat oscillator line connection is made with the two detectors D1 and D1, each of which is connected with its corresponding antenna over a length 3D of high frequency line. The connection of the {beat oscillator with the detector D4 is by means of a connection which is directly from the oscillator and is assumed to be of zero length to match the zero length of high frequency line which is assumed to connect detector D4 with its correeach and sponding antenna. Thus, the beat oscillator is connected with the ,detectorsvover beat oscillator lines the lengths of which in each case are equal .to the lengths of the corresponding lines from the detectors to theantenna units of the array. I
When compensation for irregular phase change with tuning change has been effected as described above, the phase changers :may be geared to- ;gether in a 1,2, 3, etc. ratio and all operated from a single drive shaft without adjustment upon a change in tuning frequency.
The relationships that must be established in order to satisfy this condition have been derived and are expressed in the following equation:
7 Vs (Ls1Ls2) +Vo (Lo2'-L01=AD where p I Ls1=length of high frequency line to antenna linmeters Lsz=length of high frequency line to antenna 2 in meters Lo1=length ofbeat oscillator line to detector l in meters I Loz=length of beat'oscillator line to detector 2 in meters r Vs=ratio of space velocity to high frequency line velocity 1 Vo=ratio of space velocity to beat oscillator I line velocity A=any constant, including 0 D=antenna spacing in meters When the values of the different'factors are so chosen that the constants A have the same value for each and every pair of units inthe array, it is not necessary to alter the positions of the various I phase shifters when the system is tuned to a new frequency. With beat oscillator lines'to the detectors having the lengths shown and described illustrated in Fig. 1. Thesystem of Fig.2 is generally the same as that of Fig. 1, withthe exception of the features that will be described, and
1 reference characters the same as those of-Fig. 1,
are used for all elements illustrated excepting those which differ from the elements of Fig. 1.
In the system of Fig. 2 each of the first detectors or modulators D1 to D7 is directly connected with its associated phase changer P011 to PCrz. The outputs of all but PC11 of the phase changers are connected with the common'intermediate frequencyamplifier D 'A through part or all of the compensating intermediate frequency line Each of the three sections of the line IF has a delay equal to 2D. The longest path, that by way of antenna A4,
detector D1 and phase changer P011 is connected directly with the intermediate frequency amplifier IFA, and has no delay in this portion of the intermediate frequency circuit. The path from antenna A2 through detector D2 and phase changer P012 is so connected with the intermediate frequency delay path that it suffersa compensating delay of 2D. As shown, the path from x antenna A3 is delayed 4D in the intermediate frequency path, and the branches from antennas A4 to A1 each include the entire length of the intermediate frequency; path IF and are each delayed 6D. For zero angle, of arrival of the signal wave .the over-alllengths ofall -of the paths are thus equalized, and the condition for in-phasecombination for .maximum output over a theoretically infinite band of frequencies is established. r
7 Where the angle of arrival of the signal wave is greater than zero,-- exact compensation may be effected by introducing additional small delays,
as by short pieces if-intermediate frequency line,
in the conductors connecting each of the first detectors D1 to Dr with its, corresponding phase changer. The proper'valuesfor such additional delays may, for instance, be secured by zero addition in the connection from detector D1 to phase changer PO D(l.-;ccs.6) in theconnection from detector D6 to phase changer PC"1 and progres sively graded increments of 2, 3, 4, 5 and 6 times this value for the connections associatedwith detectors D5, D4, D3, Dz-and D1,. respectively, as indicated in Fig. 2. These values may receive such slight modification as may be necessary also to compensate for the ratio of space velocity to line velocity. 4, v j a Another respect in which thesystem of Fig. 2
differs from'that' of Fig. 1 is' that in the Fig. 2'
system thesteering is lined upon themiddle antenna unit A4 instead of the rear antenna'unit ,A1, and the phase. changers are arranged in two separate groups. One group includes phase changers P011, P0 2- and P013 and the other group includes phase changers P015, P016. and P017.
The phase changer PC 14 associated with the first detector of the middle-antenna A lof the array is in a sense adummy, as this antenna,.being.the referencewith respect to which the phases of the other two groups of antenna paths are shifted, requires no shifting of phase in the steering oper ation. Each of the groups of phase changers is driven by a separatev shaft having uniformly graded gear connections with a 1, 2, 3. ratio, as
indicated in the drawing. The common driving mechanism is arranged to drive the two groups of phase changers in opposite directio v,
If it were assumed that the-beat oscillator BO were connected with the'series of firstdetectors by measn of paths of'equal length, it would be necessary in changingthe tuning of the system from one signal carrier frequency to another to mechanically disconnect the shafts of" the two one or the other of theshafts until the energy contributions of the twogroups were in phase with each other, and thenagain recouple ,the'
shafts in the readjusted position But by virtue of the beat oscillator tuning compensation for diversity in length of the high frequency transmission lines between each antenna and itsassocie ated first detector, as described inconnection with the system of Fig. 1, no relativeadjustment of thetwo groups of phase changersiis required when the tunin is changed from one signal car rier frequency to another. This is true as long as the beat oscillator frequency remains either above 1 or below the carrier frequencyfor all tuning adjustments. If for any reason it should become desirable to changethe beat oscillator frequency other, then the provision of a clutch. between the groups of phase changers would permit a relative readjustment of the two-groups to establish the new relationship required by the change in the side of the beat oscillator frequency with reference to the carrier. r 1
It will be understood that delay networks or from one side of the carrier frequencies tothe o groups of phase changers from each other, rotate artificial lines constructed to have delay characteristics equivalent to those of the compensating intermediate frequency lines or to the compensating oscillator lines may be substituted for such lines if desired. It will also be understood that the principles of the invention may be utilized in an array designed for horizontal and/or vertical steering of the directional characteristic and that antennas designed for utilization of vertically polarized components instead of antennas designed to employ horizontally polarized components may be used.
What is claimed is:
1. In a radio system, an antenna array com.- prising a plurality of antenna units, a translation device, separate lines connecting said translation device to each antenna unit and each having a Wave velocity differing from the wave velocity in space, and means included in certain of said lines for compensating for the difference in said line and space velocities, whereby the paths traversed by the wave components intercepting said units and extending from a desired wave front to the translation device are substantially equal in electrical length and have the same delay or phase-frequency characteristic.
2'. In a radio system, an antenna array comprising a plurality of antenna units, a translation device located at a point intermediate the ends, of the array, separate lines each including an intermediate frequency portion and a high frequency portion connecting said translation device to each antenna suit, the intermediate frequency portions of certain of said lines having lengths such that the phase-frequency characteristics of the paths traversed by the Wave components intercepting said units and extending from the received wave front to the translation device are substantially the same.
3. In a radio system, an antenna array comprising a plurality of antenna units positioned to receive a desired Wave end on, a modulator and a phase changer for each unit at a terminal station located intermediate the ends of said array, a translation device at said station, a transmission line for each unit consisting of a high frequency portion connecting the unit to the corresponding modulator and an intermediate frequency portion connecting the modulator to the corresponding hase changer, and a common intermediate frequency line extending to said translation device, said phase changers being connected to said intermediate frequency line at points such that the paths traversed by the wave components intercepting said units and extending from the wave front to the translation device are substantially equal in electrical length.
4. In a radio system, an antenna array comprising a plurality of antenna units, a modulator connected to each unit, a beat frequency oscillator connected to said modulators, the transmission lines extending from each modulator to the associated antenna unit and from each modulator to the beat oscillator being substantially equal in length, a separate phase changer connected to the output terminals of each modulator, and a translation device connected to said phase changers.
5. In a radio system, an antenna array comprising a plurality of antenna units, a translation device at a terminal station located intermediate the ends of said array, a plurality of modulators at said terminal station one for each of said units, a beat frequency oscillator at said station connected with each of said modulators, the transmission lines extending from each modulator to the corresponding antenna unit and from each modulator to the beat frequency oscillator being substantially equal in length, and a separate phase changer connected between each modulator output and said translation device.
6. In a radio system, an antenna array comprising a plurality of antenna units, a terminal station located at a point intermediate the ends of the array, a plurality of modulators at said terminal station one for each of said units, a line connecting each unit with its modulator, a translation device at said station, a beat frequency oscillator connected to said modulators, each modulator being connected to said oscillator through a length of transmission line such that the difference between the lengths of the lines connecting successive pairs of units with their modulators taken pair by pair in one direction along the array plus the difference between the lengths of transmission lines connecting the oscillator to the modulators of successive corresponding pairs of units taken in the other direc tion along the array shall equal a constant having the same value for all the successive pairs of units along the array, a connection between each modulator output and said translation device, and a separate phase changer included in each of said connections.
7. In a radio system, an antenna array com prising a pluralityof antenna units positioned to receive a desired wave end on, a translation device at a terminal station located intermediate the ends of said array, a modulator at said station for each unit and having connection with such unit, the paths traversed by the wave components intercepting said units and extending from the received wave front to the translation device by way of said modulators being substantially equal in length, a beat frequency oscillator connected to said modulators, the transmission lines extending from each modulator to the associated antenna unit and from each modulator to the beat oscillator being substantially equal in length, and a separate phase changer connected between each modulator output and said translation device.
8. The method of steering compensation for deviations from uniformity of spacing with respect to the terminal station of the antenna units of. a multiple unit array, which consists in conducting to the terminal station the signal frequencies received at the various units, modulating each signal frequency with a beating oscillator frequency conveyed over a transmission path equal in length in each case to the length of transmission path from the corresponding unit to produce intermediate frequencies of uniformly related phase differences, and controlling the phases of the intermediate frequencies for combination iii-phase at a receiver.
9. In a radio system, an array comprising at least two antenna units connected to a translation device by separate lines of difierent physical length, the wave velocity on said lines being different from the wave velocity in space, said physical length difference being related to the angle between the array axis and the desired wave direction and to the difference in said velocities, whereby the paths extending from the desired wave front to said device and each in cluding an antenna unit and associated line have equal electrical lengths and equal phase-frequency or delay characteristics.
. 2,225,928 V 7-1 10,. In a radio system, a linear arraycomprisa given direction, utilizing separate vlines'for connectingsaid'units to said receiver, which com- ,prises ascertaining the difierences in line length required to render"; equal inphysical length the ing a plurality of antenna units connected by separate lines to a translation device, the anglebetween the array axis and the desired direction of radiation or reception being acute, the line and space velocities being different, the lines connected to adjacent units being adjusted.- to differ in actual length an amount dependent upon said angle and the difference between said velocities.
' phase currents at each frequencyin a; large band I 11. A method of obtaining at a receiver inof frequencies from a signal wave intercepting the antenna units of a lineararrayxand having paths traversed by the wave componentsandex' tending to the receiver from the wave front at the unit first intercepted, ascertaining the length correction necessary to compensate for the difference in line and space velocities and connect i ing lines having the ascertained lengths between 10 said units and receiver.
DOUGLAS H. RING; v
US284400A 1939-07-14 1939-07-14 Multiple unit steerable antenna system Expired - Lifetime US2225928A (en)

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Cited By (9)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US2510280A (en) * 1946-09-10 1950-06-06 Rca Corp Antenna system
US2549867A (en) * 1939-12-21 1951-04-24 Hendrik C A Van Duuren Antenna system
US2786999A (en) * 1953-05-15 1957-03-26 Bell Telephone Labor Inc Non-reciprocal directive antenna arrays
US3076193A (en) * 1959-08-19 1963-01-29 Gen Electric Electronic scanning of circular arrays
US3161851A (en) * 1957-05-31 1964-12-15 Gregory M Voglis Object detecting and locating apparatus
US3182324A (en) * 1959-04-01 1965-05-04 Avco Mfg Corp Signal synthesizing system
US3202961A (en) * 1957-05-31 1965-08-24 Commissioners For Executing Th Object detecting and locating apparatus
US6693589B2 (en) * 2002-01-30 2004-02-17 Raytheon Company Digital beam stabilization techniques for wide-bandwidth electronically scanned antennas
US9673965B2 (en) 2015-09-10 2017-06-06 Blue Danube Systems, Inc. Calibrating a serial interconnection

Cited By (12)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US2549867A (en) * 1939-12-21 1951-04-24 Hendrik C A Van Duuren Antenna system
US2510280A (en) * 1946-09-10 1950-06-06 Rca Corp Antenna system
US2786999A (en) * 1953-05-15 1957-03-26 Bell Telephone Labor Inc Non-reciprocal directive antenna arrays
US3161851A (en) * 1957-05-31 1964-12-15 Gregory M Voglis Object detecting and locating apparatus
US3202961A (en) * 1957-05-31 1965-08-24 Commissioners For Executing Th Object detecting and locating apparatus
US3182324A (en) * 1959-04-01 1965-05-04 Avco Mfg Corp Signal synthesizing system
US3076193A (en) * 1959-08-19 1963-01-29 Gen Electric Electronic scanning of circular arrays
US6693589B2 (en) * 2002-01-30 2004-02-17 Raytheon Company Digital beam stabilization techniques for wide-bandwidth electronically scanned antennas
US9673965B2 (en) 2015-09-10 2017-06-06 Blue Danube Systems, Inc. Calibrating a serial interconnection
US10009165B2 (en) 2015-09-10 2018-06-26 Blue Danube Systems, Inc. Calibrating a serial interconnection
US10225067B2 (en) 2015-09-10 2019-03-05 Blue Danube Systems, Inc. Active array calibration
US10574432B2 (en) 2015-09-10 2020-02-25 Blue Danube Systems, Inc. Active array calibration

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