Abstract
A Volterra functional expansion for the logarithm of the likelihood ratio, for detection of a memoryless nonlinear functional of a random process in Gaussian white noise, is presented. For the special case of detection of a zero‐mean Gaussian process in Gaussian white noise, it is shown that the Volterra expansion reduces to well‐known results. An approximation to the Volterra expansion is suggested for some problems with periodic nonlinearities.
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