An optical multiplication based on a quadratic residue number system

Liu, Bo; Liu, Liren; Li, Guoqiang

doi:10.1002/(sici)1098-2760(19960405)11:5<274::aid-mop11>3.0.co;2-a

Microw. Opt. Technol. Lett.

1996

DOI: 10.1002/(sici)1098-2760(19960405)11:5<274::aid-mop11>3.0.co;2-a

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An optical multiplication based on a quadratic residue number system

Bo Liu¹,

Liren Liu²,

Guoqiang Li³

Abstract: Based on the quadratic residue number system {QRhS), a novel optical matrix-uector multiplication is proposed. Complev number multiplication has higher parallelism than other algorithms. If the residue number is binary encoded, this multiplication can be easily implemented with a multichannel incoherent optical cornlator. Q 19% John Wley & Sons, Inc.

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1996

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Optical complex-valued modular multiplication based on digital partitioning and weighting shifting

Cheng

Liu

et al. 1996

Microw. Opt. Technol. Lett.

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In this Letter we propose complex modular multiplication of two N-bit negabina y complex numbers by adopting digital panitioning and weighting-shifring techniques. The module (-2)N -I is introduced for its simple arithmetic. Both complex numbers are treated as two N-bit negabinary real number~y. All four real numbers are decomposed into seceral s h o~ bytes; a corresponding complexproduct modular (-2)N -I is achieoed by cyclic conclolution. The subtraction in complex multiplication is conc'erted to addition by weighting shifring. The algorithms can be implemented in a fully parallel manner, especially for optics. Both preand postprocessing are simple. The proofof principle experiment is performed by an incoherent optical cotrelator, and results are giuen. 0 1996 ABSTRACT The design and measured results of a single-layer 16 X 16 microstrip patch antenna array made from four 8 X 8 subarrays are presented. A comparison with theoretical results predicted by the program fCAAD is also made. The array w0. T designed to operate in the Ku band (11.7-12.7 G H d 0 I996 John Wiley & Sons. Inc.

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Optical complex-valued modular multiplication based on digital partitioning and weighting shifting

Cheng

Liu

et al. 1996

Microw. Opt. Technol. Lett.

Self Cite

View full text Add to dashboard Cite

show abstract

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An optical multiplication based on a quadratic residue number system

Cited by 1 publication

References 16 publications

Optical complex-valued modular multiplication based on digital partitioning and weighting shifting

Optical complex-valued modular multiplication based on digital partitioning and weighting shifting

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