Optimal Least Square Filtering With A Digital Optically Interconnected Processor

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Abstract An optical crossbar interconnected signal processor, proposed previously, is reviewed. The ability to implement difficult -to-parallelize algorithms on this processor with reasonable efficiency is illustrated using optimal least square filtering. An inversefilter for removing the effects of a ringing source from reflected data is used as an example. A large number of Toeplitz matrixequations must be solved to determine the optimum inverse filter length and phase. Efficient parallel computation is required. Equations for Levinson's algorithm are provided and an implementation on the optical system is suggested. Performance estimates suggest that interleaving may be used to improve efficiency from 5% to approximately 30 %. Introduction An optical crossbar interconnected signal processor was proposed previously that has a large number of processing element.connected via optical fibers to an optical crossbar switch'''. A deformable mirror device is used to construct the crossbar switch.I previously showed how to efficiently implement basic signal processing algorithms such as an FFT, systolic filter, and matrix -