Optical complex-valued modular multiplication based on digital partitioning

Huiquan Cheng; Liren Liu; Guoqiang Li; Feng Qian

doi:10.1117/12.364006

1 October 1999 Optical complex-valued modular multiplication based on digital partitioning

Huiquan Cheng, Liren Liu, Guoqiang Li, Feng Qian

Proceedings Volume 3805, Photonic Devices and Algorithms for Computing; (1999) https://doi.org/10.1117/12.364006
Event: SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, 1999, Denver, CO, United States

Abstract

In this paper, we presented a scheme for complex-valued modular multiplication based on digital partitioning technique. The module (-2)^N-1 is introduced for its simple arithmetic. Both of the operands joining in the complex number multiplication are treated as two N-bit real numbers. Because of its advantage in expressing number, the negabinary number system is adopted. The subtraction in complex number multiplication is converted to addition operation by weighting shifting. Although the direct result takes the looks of a serial of residues, we proposed an algorithm for reconstructing the complex-valued multiplication produce by studying the product decomposing rules. The algorithm can be implemented in parallel manner, we studied the optical implementation based on an incoherent optical correlator and some electronic devices as auxiliary for reconstructing the product. Both the advantage and the disadvantage are analyzed. And the comparison with other optical complex-valued multiplication algorithms is also presented.

Citation Download Citation

Huiquan Cheng, Liren Liu, Guoqiang Li, and Feng Qian "Optical complex-valued modular multiplication based on digital partitioning", Proc. SPIE 3805, Photonic Devices and Algorithms for Computing, (1 October 1999); https://doi.org/10.1117/12.364006

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