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Modified direct twos-complement parallel array multiplication algorithm for complex matrix operation
- Source :
- Applied Optics. 34:1321
- Publication Year :
- 1995
- Publisher :
- The Optical Society, 1995.
-
Abstract
- A direct twos-complement parallel array multiplication algorithm is introduced and modified for digital optical numerical computation. The modified version overcomes the problems encountered in the conventional optical twos-complement algorithm. In the array, all the summands are generated in parallel, and the relevant summands having the same weights are added simultaneously without carries, resulting in the product expressed in a mixed twos-complement system. In a two-stage array, complex multiplication is possible with using four real subarrays. Furthermore, with a three-stage array architecture, complex matrix operation is straightforwardly accomplished. In the experiment, parallel two-stage array complex multiplication with liquid-crystal panels is demonstrated.
- Subjects :
- Two's complement
Multiplication algorithm
Computer science
business.industry
Materials Science (miscellaneous)
Computation
Numerical analysis
Complex multiplication
Optical computing
Industrial and Manufacturing Engineering
Matrix (mathematics)
Optics
Parallel processing (DSP implementation)
Product (mathematics)
Business and International Management
business
Algorithm
Parallel array
Subjects
Details
- ISSN :
- 15394522 and 00036935
- Volume :
- 34
- Database :
- OpenAIRE
- Journal :
- Applied Optics
- Accession number :
- edsair.doi.dedup.....417f738ede946cff183d059c72f8d9be