Optimal deconvolution filter design based on orthogonal principle

Abstract An optimal deconvolution filter design approach is introduced for multi-channel systems under coloter noise. Unlike the use of classical variational calculus techniques, some algebraic methods like outer-inner factorization and orthogonal principle will be utilized to solve the proposed deconvolution problem. Then an optimal deconvolution filter with least order is obtained. It can be applied to both minimum-phase and nonminimum-phase systems. The design procedure is relatively simple and makes the solution to be computed easily.