A deconvolution filter for multichannel nonminimum phase systems via the minimax approach

Abstract

Abstract A deconvolution filter with the peak of the error spectrum to be minimized is introduced for multichannel nonminimum phase systems. The inner-outer factorization and Nehari's theorem are utilized to develop this minimax design algorithm. The design algorithm is used to realize a causal and stable deconvolution filter so as to achieve an acceptable performance via appropriate choice of a design parameter. The proposed design algorithm has several advantages. The design algorithm can be applied to minimum phase as well as nonminimum phase channel systems. The design algorithm can achieve a near-minimax deconvolution filter using only a one-iteration computation without performing any σ-iteration. A closed-form solution is easily obtained. For the purpose of illustration, an example and its simulation result are presented in this paper.