Design of Finite Wordlength Iir Filters with Prescribed Magnitude, Group Delay and Stability Properties Using Simulated Annealing

This paper investigates the problem of designing-nite precision one-dimensional (1-D) innnite impulse response (IIR) lters with prescribed magnitude, phase and stability constraints. The design problem is formulated as the minimization of a cost function incorporating these connicting requirements. The rst two elements of the cost function express magnitude and group delay errors between the desired and the actual frequency responses of a lter, while the third one is related to its stability margin. This cost function is minimized using simulated annealing based on the Metropolis algorithm. Examples of several nite wordlength lters designed by the above method are presented and compared with Chebyshev and elliptic lters with rounded coeecients.