OPTIMAL DECONVOLUTION FILTER DESIGN UNDER PARAMETERS PERTURBATION IN TRANSMISSION CHANNELS

An optimal deconvolution filter design method is proposed in this pape r for signal transmission systems with small perturbation of parameter s. The perturbative parameters of the transmission channel and noise m odel are of probabilistic structures. A realizable filter is derived t o minimize the mean square estimation error from the viewpoint of freq uency domain. The calculus of variation technique and the spectral fac torization method are used in the design procedure. The design method is suitable for the deconvolution of both minimum-phase and nonminimum -phase perturbative transmission systems. The minimum mean square erro r of the optimal deconvolution filter is also discussed. Finally, an e xample is given to illustrate the simulation results of the proposed o ptimal deconvolution filter.