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Exploring three classes of symmetrical polynomials for improving comb filter design

机译:探索三类对称多项式改善梳滤波器设计

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This paper explores certain classes of symmetrical polynomials, with all zeros on unit circle, to improve frequency characteristic of comb filters, in a stop band. More specifically, three classes of symmetric polynomials with all coefficients equal to 1, with coefficients equal to 0 and 1, and with the coefficients equal to 1 and ?, respectively, are investigated. All three classes of polynomials have all zeros on the unit circle. This characteristic is important to improve comb alias rejection by properly relating the parameters of the polynomials with the parameters of the corresponding comb filter. The proposed approach is illustrated with one example and compared with the original comb filter.
机译:本文探讨了某些类对称多项式,用单位圈进行所有零,以改善梳状滤波器的频率特性,在止动杆中。更具体地,研究了三类对称多项式,其所有系数等于1,具有等于0和1的系数,并且分别等于1的系数,并且分别被调查。所有三类多项式都有单位圈的所有零。这种特性对于通过适当地将多项式的参数与相应的梳状滤波器的参数正确相关联来改善梳别抗倾斜是重要的。所提出的方法用一个示例说明并与原始梳滤波器进行比较。

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