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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...
In this paper, a novel algorithm is developed for the minimax design of IIR digital filters. Using a partial second-order factorization (PSOF), the denominator polynomial of an IIR digital filter is decomposed as a cascade of second-order factors (SOFs) and a single higher-order factor (HOF). This is inspired by the fact that, when some poles are closer to the boundary of the stability domain, the...
In this paper, a novel method is developed for the design of IIR digital filters in the minimax sense. The Steiglitz–McBride (SM) scheme is adopted in the proposed method to simplify the design procedure. But, different from traditional SM-based design approaches, our method decomposes the denominator polynomial of an IIR digital filter as a cascade of several second-order factors (SOFs) and a higher-order...
In this paper, we propose an unconstrained IIR digital filter design method in the weighted least-squares (WLS) sense. Unlike some other design methods which utilize approximation techniques to simplify the nonlinear approximation error functions, this method expresses the design problem strictly, and utilizes the general-purpose optimization algorithms to find the minimum point. In order to guarantee...
In this paper, we propose an iterative method for designing IIR digital filters in the weighted least squares (WLS) sense. Since the original design problem is essentially nonconvex, it is first relaxed into a second-order cone programming (SOCP) problem. By solving the relaxed problem, the lower bound on the optimal value of the original problem can be obtained. And the corresponding filter coefficients...
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