Blind deconvolution (equalization): Some new results

Abstract An interesting equation developed by Giannakis and Mendel (1989), and referred to by others (e.g., Friedlander and Porat (1989)) as the ‘GM equation’, links higher-order statistics to second-order statistics. In this paper, we show how this equation leads to a new universal relationship between a system and its inverse, and can be employed to obtain a new closed-form formula for a Shalvi-Weinstein-like super-exponential blind deconvolution algorithm.

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