Adaptive deconvolution of stochastic signals

An adaptive technique is presented for the restoration of a stochastic signal which has been distorted by passage through a linear; time-invariant system with unknown transfer function. Restoration of a stochastic signal is here defined as the identification of the statistical parameters of the input signal and the re-creation of a restored signal which is statistically similar to the original signal. The restoration is tantamount to deconvolving the observed signal with the inpulse response of the distorting system. Since the required impulse response is unknown, it must be identified or learned in order to be used. Previous researchers in this area have used the term homomorphic filtering to describe forms of deconvolution similar to those used here (1-4).