Title :
On the design of Lp IIR filters with arbitrary frequency response
Author :
Vargas, Ricardo A. ; Burrus, C. Sidney
Author_Institution :
Dept. of Electr. & Comput. Eng., Rice Univ., Houston, TX, USA
Abstract :
This paper introduces an iterative algorithm for designing IIR digital filters that minimize a complex approximation error in an Lp sense. The algorithm combines ideas that have proven successful in the similar problem of Lp FIR filter design. We use iterative prefiltering techniques common in applications such as parameter estimation together with an iterative reweighted least squares (IRLS) method. The result is a double iterative approach that generates IIR filters of arbitrary magnitude and phase response and arbitrary numerator and denominator orders. Such filters can be used in a variety of applications in which the typical L2 or L∞ error criteria might not be suitable
Keywords :
IIR filters; digital filters; frequency response; iterative methods; least squares approximations; minimisation; Lp IIR filters; arbitrary denominator order; arbitrary frequency response; arbitrary magnitude response; arbitrary numerator order; arbitrary phase response; complex approximation error minimization; digital filters; iterative prefiltering; iterative reweighted least squares; Finite impulse response filter; Frequency response; IIR filters; Iterative algorithms; Iterative methods; Least squares approximation; Least squares methods; Nonlinear equations; Nonlinear filters; Signal processing algorithms;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 2001. Proceedings. (ICASSP '01). 2001 IEEE International Conference on
Conference_Location :
Salt Lake City, UT
Print_ISBN :
0-7803-7041-4
DOI :
10.1109/ICASSP.2001.940678
