Design of digital filters using state-space realization†

Abstract

A procedure for the design of a digital filter, based on state-space.realization, is presented. The digital filter obtained has low sensitivity to eigenvalue variations. Also particularly attractive features are stability and low coefficient spread. The design technique is well suited for computer-aided design, starting from a prototype analogue filter function and the desired critical frequencies. Simulation results for different computer word-length are presented, and comparison is made with an analogue filter for both frequency and transient response.