Optimal Bounding Ellipsoid Algorithms for adaptive blind equalizations over AWGN and multipath fading Channels

Abstract : Two adaptive blind equalization algorithms for M-QAM modulation of a Single Input Single Output (SISO) are presented. The second blind equalization algorithm is an extension of the first algorithm. These methods are tested in a wireless environment where the noise is bounded and the channel is multipath fading. The two proposed equalizers are based an Optimal Bounding Ellipsoid (OBE) algorithms which are among the set Membership identification methods. The objective of these approaches is to restore the transmitted data by estimating the coefficients of the equalizer. Thanks to their simplicity of implementation, these algorithms are easy to apply in real time. Through the simulation results, constellation and SER comparison confirm the good performance of the algorithm with respect to the first algorithm.