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17 June 2004 Companding nonlinear correlators
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In this paper we summarize a new category of all optical companding nonlinear correlators developed by our group in the last decade. All optical companding nonlinear correlators consist oftwo families: The first is based on energy transfer between the joint spectra of reference and signal images. The second family is based on incoherent erasure of a grating formed by coupled beams . Allof these correlators have similar features. Therefore, we take one representative case of study, namely, the photorefractive two-beam coupling correlator. We perform theoretical analysis, computer simulations and experimental demonstrations to predict the location of the best operating point of the two-beam coupling joint transform correlator. From this study we determine the best operational condition for high speed and resolution, as well as for optimal trade-off between correlation peak intensity, efficiency and noise performance. We also study the performance of compansive correlators in analogy with the limiting square law receiver. It was found that the optimal performing point corresponds to noise variance that is proportional to the transition from compression to expansion.
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Jed Khoury, Peter D. Gianino, and Charles L. Woods "Companding nonlinear correlators", Proc. SPIE 5362, Advanced Optical and Quantum Memories and Computing, (17 June 2004);


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