The USC Andrew and Erna Viterbi School of Engineering USC Signal and Image Processing Institute USC Ming Hsieh Department of Electrical Engineering University of Southern California

Technical Report USC-SIPI-276

“Parameter Estimation and Blind Channel Identification In Impulsive Signal Environments”

by Xinyu Ma and Chrysostomos L. Nikias

December 1994

New methods for parameter estimation and blind system identification for impulsive signal environments are presented. The data are modeled as stable processes. First, methods for estimating the parameters (characteristic exponent and dispersion) of a symmetric stable distribution are presented. The fractional lower-order moments, both positive and negative order, and their applications are introduced. Then a new algorithm for blind channel identification based on fractional lower-order moments is proposed. Alpha-Spectrum, a spectral representation for impulsive environments, is developed. Conditions for blind identifiability of non-minimum phase FIR channels are established using the properties of the Alpha-Spectrum.

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