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“Maximum A Posteriori Filter Estimation for Cauchy Data Using Lower-Order Statistics”
by Russell H. Lambert and Chrysostomos L. Nikias
March 1994
A Maximum A Posteriori (MAP) estimation approach is used to determine the multipath channel parameters of a system driven with Cauchy data. This is a blind deconvolution problem with the input driving sequence having a Cauchy probability density function. The fact that the Cauchy distribution is not Bussgang, and has infinite variance, requires the development of a new blind deconvolution formulation which estimates the forward filter, instead of the inverse filter as in traditional deconvolution schemes.