Error Analysis for Digital Filters with Ladder Structures.

Abstract : This report presents an approach to the error analysis and simulation of digital filters. The technique is applied specifically to a study of various wave digital filter structures. The pseudo-state formulation is introduced and forms the basis of a general purpose analysis and simulation program for digital filters. It is found that such a formulation is especially suitable for implementation using the APL language. Wave digital filter design techniques are briefly reviewed and illustrated with several examples. Comparison study of wave digital filters and the cascade form regarding coefficient sensitivity and round-off noise has been performed. It is found that properly designed wave digital filters are superior in both aspects. Finally, two simple second-order wave digital filters are designed and their eigenvalue sensitivities analyzed.