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United States Patent

[19]

Mills

US005770966A [ii] Patent Number: 5,770,966 [45] Date of Patent: Jun. 23, 1998

[54] AREA-EFFICIENT IMPLICATION CIRCUITS FOR VERY DENSE LUKASIEWICZ LOGIC ARRAYS

[75] Inventor: Jonathan W. Mills, Bloomington, Ind.

[73] Assignee: Indiana University Foundation,

Bloomington, Ind.

[21] Appl. No.: 783,196

[22] Filed: Jan. 15, 1997

Related U.S. Application Data

[63] Continuation of Ser. No. 887,711, May 22, 1992, abandoned.

[51] Int. CI. H03K 3/02

[52] U.S. CI 327/355; 327/538; 327/543

[58] Field of Search 326/35, 36, 119,

326/127, 133; 327/215, 355, 350, 538, 543, 560, 568

[56] References Cited

U.S. PATENT DOCUMENTS

3,097,311 7/1963 Tiemann .

3,116,426 12/1963 Shintaro Oshima et al. .

3,124,708 3/1964 Reinecke et al 326/133

3,239,687 3/1966 Steele .

4,318,083 3/1982 Argyle 340/146.3

4,374,357 2/1983 Olesin et al. .

4,380,755 4/1983 Endlicher et al 382/68

4,499,549 2/1985 Bartlett 364/601

4,521,773 6/1985 Lyon 340/710

4,524,292 6/1985 Nagano .

4,694,418 9/1987 Ueno et al 364/807

4,707,859 11/1987 Nudd et al 382/28

4,714,901 12/1987 Jain et al. .

4,716,540 12/1987 Yamakawa 364/807

4,767,942 8/1988 Minami et al. .

4,792,982 12/1988 Devos et al 382/68

4,837,725 6/1989 Yamakawa 364/807

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Mills et al., "Technical Report No. 296—Lukasiewicz Logic Arrays", Mar. 1990, pp. 1-7.

Mills et al., "Technical Report No. 312—CMOS VLSI Lukasiewicz Logic Arrays", Jul. 1990, pp. 1-12. Grigolia, R., "On The Algebras Corresponding to the n-Valued Lukasiewicz-Tarski Logical Systems", Proceedings of the 1975 Intenational Symposium On Multiple-Valued Logic, Indiana University, Bloomington, Indiana, May 13-16, 1975, pp. 234-239.

Katz, M., "Two Systems 01 Multi-Valued Logic for Science", Department ol Mathematics and Statistrics, Queen's University, Kingston, Canada, pp. 175-182. Yamakawa, T, Miki, T. and Ueno, F, "Basic Fuzzy Logic Circuit Formed by Using p-MOS Current Mirror Circuits", pp. 1-9.

Giles, R., "Lukasiewicz Logic and Fuzzy Set Theory", International Journal ol Man-Machine Studies, 1976, pp. 313-327.

Mahowald, M.A., and Mead, C; "The Silicon Retina"; Scientific American; pp. 76-82; (1991).

Primary Examiner—-Terry Cunningham

Attorney, Agent, or Firm—-Woodard, Emhardt, Naughton,

Moriarty & McNett

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A one-diode circuit for negated implication (—») is derived from a 12-transistor Lukasiewicz implication circuit (-»). The derivation also yields an adjustable three-transistor implication circuit with maximum error less than 1% ol lull scale. Two Lukasiewicz logic arrays (£LAs) are proposed that use area-efficient implementations ol the one-diode and three-transistor implication circuits. The very dense diodetower £LA contains 36,000 implications in an area that previously held 92 implications; the three-transistor £LA contains 1,990 implications. Both £LAs double the number ol inputs per pin on the IC package. Very dense £LAs make £LA-based luzzy controllers and neural networks practical. As an example, an £LA retina that detects edges in 15 nanoseconds is described.

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Infinite-precision ideal analog

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_Continuous-valued
real analog

Fig.l

Discrete
Multiple-valued

Binary digital

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