Title :
Design of stable IIR digital filter based on least P-power error criterion
Author :
Tseng, Chien-Cheng
Author_Institution :
Dept. of Comput. & Commun. Eng., Nat. Kaohsiung First Univ. of Sci. & Technol., Taiwan
Abstract :
In this paper, the least p-power error criterion is presented to design digital infinite impulse response (IIR) filters to have an arbitrarily prescribed frequency response. First, an iterative quadratic programming (QP) method is used to design a stable unconstrained one-dimensional IIR filter whose optimal filter coefficients are obtained by solving the QP problem in each iteration. Then, the proposed method is extended to design constrained IIR filters and two-dimensional IIR filters with a separable denominator polynomial. Finally, design examples of the low-pass filter are demonstrated to illustrate the effectiveness of the proposed iterative QP method.
Keywords :
IIR filters; circuit stability; digital filters; error correction; iterative methods; low-pass filters; quadratic programming; denominator polynomial; frequency response; infinite impulse response filters; iterative quadratic programming; least P-power error criterion; low-pass filter; stable IIR digital filter design; Design methodology; Digital filters; Finite impulse response filter; Frequency response; IIR filters; Iterative methods; Linear programming; Low pass filters; Minimax techniques; Quadratic programming; IIR; Infinite impulse response; QP; filter design; quadratic programming;
Journal_Title :
Circuits and Systems I: Regular Papers, IEEE Transactions on
DOI :
10.1109/TCSI.2004.834526