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A novel optical device for nonlinear signal processing is described based upon the following observations: (a) A phase space for signal processing is identified with a time-frequency joint representation (TFJR) that appears almost everywhere naturally, for example in bats, in music, etc. (b) A sudden slow down mechanism is responsible for the transition from a phase coherent-to-incoherent wavefront and provides us the sharpest tone transduction from a Bekesy traveling wave in a model of the inner ear. The cause of the slowdown is physically identified to be due to three forces. This has been used to derive a cubic deceleration polynomial responsible for a cusp bifurcation phenomenon which occur for every tone transducted along the nonuniform elastic membrane. The liquid-filled inner ear cochlea channel is divided by the membrane into an upper duct that has hair cells for the forward sound-generated flow and the lower duct for the backward balance-return flow.
Harold Szu
"Nonlinear Signal Processing Using Fiber-Optics Neurograms", Proc. SPIE 0634, Optical and Hybrid Computing, (13 February 1986); https://doi.org/10.1117/12.964008
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Harold Szu, "Nonlinear Signal Processing Using Fiber-Optics Neurograms," Proc. SPIE 0634, Optical and Hybrid Computing, (13 February 1986); https://doi.org/10.1117/12.964008