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

Abstract

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.