Theoretical Development for Blind Identification of Non Linear Communication Channels

Abstract

In this paper, we present a theoretical analysis of non linear quadratic systems using higher order cumulants (HOC). In the one hand, we develop the equations linking the second and third order cumulants with the impulse response of quadratic non linear systems. In the other hand, these relationships are used to develop an extension of linear algorithm based on third order cumulants to non linear algorithm for identification of quadratic systems. The proposed algorithm is tested using different quadratic models for various values of signal to noise ratio (SNR).