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Complexity reduction in low-delay Farrow-structure-based variable fractional delay FIR filters utilizing linear-phase subfilters

机译:利用线性相位子滤波器降低基于低延迟Farrow结构的可变分数延迟FIR滤波器的复杂度

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摘要

This paper proposes a method to design low-delay fractional delay (FD) filters, using the Farrow structure. The proposed method employs both linear-phase and nonlinear-phase finite-length impulse response (FIR) subfilters. This is in contrast to conventional methods that utilize only nonlinear-phase FIR subfilters. Two design cases are considered. The first case uses nonlinear-phase FIR filters in all branches of the Farrow structure. The second case uses linear-phase FIR filters in every second branch. These branches have milder restrictions on the approximation error. Therefore, even with a reduced order, for these linear-phase FIR filters, the approximation error is not affected. However, the arithmetic complexity, in terms of the number of distinct multiplications, is reduced by an average of 30%. Design examples illustrate the method.
机译:本文提出了一种使用Farrow结构设计低延迟分数延迟(FD)滤波器的方法。所提出的方法同时使用了线性相位和非线性相位有限长度脉冲响应(FIR)子滤波器。这与仅使用非线性相位FIR子滤波器的常规方法相反。考虑了两个设计案例。第一种情况是在Farrow结构的所有分支中使用非线性相位FIR滤波器。第二种情况是在每个第二分支中使用线性相位FIR滤波器。这些分支对近似误差的限制较小。因此,即使降低阶数,对于这些线性相位FIR滤波器,近似误差也不会受到影响。但是,就不同乘法的数量而言,算术复杂度平均降低了30%。设计实例说明了该方法。

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