IIR Digital Filter Design with Novel Stability Criterion Based on Argument Principle

A method for designing IIR digital filters with a novel stability criterion based on the argument principle is proposed in this paper. Unlike the stability criteria used in some design algorithms, this stability condition is both sufficient and necessary. In the paper, the weighted least-squares (WLS) design of IIR filters is first formulated as an iterative quadratic programming (QP) problem without any constraint. Then the stability criterion is incorporated in the quadratic form at each iteration. Two examples are presented to illustrate the effectiveness of the proposed approach.

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