Gram-Schmidt Orthogonalization Of The Data Matrix And Its Use In Residue Number System (Rns) Optical Adaptive Processing

J C Bradley; P R Beaudet; E C Malarkey; J H Mims

doi:10.1117/12.944187

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12 April 1988 Gram-Schmidt Orthogonalization Of The Data Matrix And Its Use In Residue Number System (Rns) Optical Adaptive Processing

J C Bradley; P R Beaudet; E C Malarkey; J H Mims

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Proceedings Volume 0886, Optoelectronic Signal Processing for Phased-Array Antennas; (1988) https://doi.org/10.1117/12.944187
Event: 1988 Los Angeles Symposium: O-E/LASE '88, 1988, Los Angeles, CA, United States

Abstract

Gram-Schmidt orthogonalization of a set of vectors is carried out in a Residue Number System. Two problems usually present in RNS computations - singularity of transformations and the occurrence of isotropic vectors (i.e., nonzero vectors whose length is zero) - are properly handled. It is shown how these developments can be used together with optical look-up tables (LUTs) to solve adaptive beam nulling problems.

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J C Bradley, P R Beaudet, E C Malarkey, and J H Mims "Gram-Schmidt Orthogonalization Of The Data Matrix And Its Use In Residue Number System (Rns) Optical Adaptive Processing", Proc. SPIE 0886, Optoelectronic Signal Processing for Phased-Array Antennas, (12 April 1988); https://doi.org/10.1117/12.944187

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