Super-exponential Methods Incorporated with Higher-Order Correlations for Deflationary Blind Equalization of MIMO Linear Systems

Abstract. The multichannel blind deconvolution of finite-impulse re-sponse (FIR) or infinite-impulse response (IIR) systems is investigated using the multichannel super-exponential deflation methods. In the con-ventional multichannel super-exponential deflation method [4], the so-called “second-order correlation method ” is incorporated in order to estimate the contributions of an extracted source signal to the chan-nel outputs. We propose a new multichannel super-exponential deflation method using higher-order correlations instead of second-order correla-tions to reduce the computational complexity in terms of multiplications and to accelerate the performance of equalization. By computer simula-tions, it is shown that the method of using fourth-order correlations is better than the method of using second-order correlations in a noiseless case or a noisy case.