Title :
Design of recursive digital filters with magnitude specifications
Author_Institution :
KACST-RICE, Cambridge, MA
Abstract :
We present an algorithm for the design of an optimal recursive digital filter with a specified magnitude frequency response. The method requires O(N2) computations to design a filter of size N, and exhibits numerical stability and quadratic convergence to the optimum within five iterations. The multiple exchange iterative algorithm uses the Chebyshev error criterion in the magnitude-squared frequency response domain, and has been developed using interpolation theory and the alternation theorem for rational function approximation
Keywords :
approximation theory; computational complexity; error analysis; filtering theory; frequency response; interpolation; iterative methods; network synthesis; numerical stability; recursive filters; Chebyshev error criterion; alternation theorem; filter size; interpolation theory; magnitude frequency response; magnitude specifications; magnitude-squared frequency response; multiple exchange iterative algorithm; numerical stability; optimal recursive digital filter; quadratic convergence; rational function approximation; recursive digital filters design; Approximation algorithms; Chebyshev approximation; Design methodology; Digital filters; Frequency response; Function approximation; Iterative algorithms; Neodymium; Numerical stability; Sufficient conditions;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1997. ICASSP-97., 1997 IEEE International Conference on
Conference_Location :
Munich
Print_ISBN :
0-8186-7919-0
DOI :
10.1109/ICASSP.1997.599493
