Weighted least-squares design of variable recursive digital filters with guaranteed stability

Deng, Tian Bo; Chivapreecha, Sorawat; Dejhan, Kobchai

doi:10.1109/ISCIT.2013.6645882

Weighted least-squares design of variable recursive digital filters with guaranteed stability

Author(s)

Deng, Tian Bo

Chivapreecha, Sorawat

Dejhan, Kobchai

Date Issued

December 31, 2013

Type

Conference Paper

DOI

10.1109/ISCIT.2013.6645882

Abstract

The stability guarantee is the most important issue in designing variable infinite-impulse-response (IIR) digital filters. This paper presents a new variable substitution method for transforming the denominator coefficients of a variable-IIR-filter into another set of variables such that arbitrary values of the new variables can guarantee the stability of the resulting variable-IIR-filter. That is, the design problem subject to stability guarantee (constrained non-linear design problem) is converted into an unconstrained design problem. As a consequence, the resulting variable-IIR-filters are always guaranteed theoretically. A lowpass variable-IIR-filter design example is given to illustrate the effectiveness of the design formulation. © 2013 IEEE.

Citation

13th International Symposium on Communications and Information Technologies Communication and Information Technology for New Life Style Beyond the Cloud Iscit 2013, 360-363, 2013