Signal-Perturbation Model for Achievement of Optimal Position Transfer Characteristic

Improved position detection involving a one-dimensional photosensor array has been shown to be possible by applying a high-frequency perturbation signal to a normalized target image. A general analytical model which describes the receptor system with respect to receptor element threshold, perturbation amplitude (peak), and the deadspace between elements is presented. Functional-approximation theory is applied to determine necessary and sufficient conditions on the system parameters that optimize (Chebyshev) the system position transfer characteristic with respect to one that is linear.