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A large number of experiments have demonstrated that for an FIR filter the sparsity of filter coefficients is highly related to its filter order. However, traditional sparse FIR filter design methods focus on how to increase the number of zero-valued coefficients, but overlook the impact of filter orders on design performance. As an attempt to jointly optimize filter length and sparsity of an FIR...
In this paper, a novel method is proposed to design FIR filters. In our designs, the objective is to reduce the minimax approximation error of an FIR filter subject to peak error constraints imposed on group delays in passbands. Starting from an initial design, the proposed method employs an iterative procedure. In each iterative step, a nonlinear equation is solved to make group delay constraints...
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