A comparison between complex approximation and multiple criterion optimization in FIR filter design
G. Calvagno, G.M. Cortelazzo, Gian Antonio Mian · 1991
The authors introduce an algorithm for simultaneous magnitude and group-delay design of FIR (finite impulse response) filters, a multiple criterion optimization problem for which no characterization theory is presently available. The algorithm, derived from differential correction, has global convergence. An experimental comparison with a method for complex polynomial approximation, a problem whose mathematical characterization is known, yields very useful and consistent results. The authors compare the results of two filter design formulations which are conceptually similar but formally different, and they present data potentially useful for the mathematical characterization of simultaneous polynomial approximation in magnitude and group-delay.>