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OPTICAL COMPLEX-VALUED MODULAR MULTIPLICATION BASED ON DIGITAL PARTITIONING AND WEIGHTING SHIFTING.
- Source :
- Microwave & Optical Technology Letters; 11/1/96, Vol. 13 Issue 4, p209-213, 5p, 3 Diagrams
- Publication Year :
- 1996
-
Abstract
- In this Letter we propose complex modular multiplication of two N-bit negabinary complex numbers by adopting digital partitioning and weighting-shifting techniques. The module (-2)<superscript>N</superscript> - 1 is introduced for its simple arithmetic. Both complex numbers are treated as two N-bit negabinary real numbers. All four real numbers are decomposed into several short bytes; a corresponding complex product modular (-2)<superscript>N</superscript> - 1 is achieved by cyclic convolution. The subtraction in complex multiplication is converted to addition by weighting shifting. The algorithms can be implemented in a fully parallel manner, especially for optics. Both pre- and postprocessing are simple. The proof-of-principle experiment is performed by an incoherent optical correlator, and results are given. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 08952477
- Volume :
- 13
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Microwave & Optical Technology Letters
- Publication Type :
- Academic Journal
- Accession number :
- 13909284
- Full Text :
- https://doi.org/10.1002/(SICI)1098-2760(199611)13:4<209::AID-MOP10>3.0.CO;2-3