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In this brief, a novel algorithm is developed for the design of infinite-impulse-response digital filters in the weighted least-squares sense. To simplify the design problem, the Levy linearized function and the Sanathanan–Koerner iterative technique are utilized. In the proposed algorithm, a denominator polynomial is decomposed as a cascade of a few second-order factors (SOFs) and a higher order...
A novel stability condition is developed in this paper. It is both necessary and sufficient, which ensures that optimal design cannot be excluded from the admissible solutions. Compared to other necessary and sufficient stability conditions, the proposed one can be expressed as a quadratic constraint in terms of denominator coefficients, which facilitates its combination with other widely used IIR...
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