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An analytical expression of FIR filters with derivative constraints at two frequencies

机译:具有两个频率导数约束的FIR滤波器的解析表达式

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摘要

In this paper, a novel structure of finite impulse response (FIR) filter is proposed. We solve the problem of building an universal structure that allows a direct control of the derivatives of the frequency response at two given frequencies. Accordingly any frequency response can be approximated. The structure consists of FIR subfllters whose frequency responses are independent of the desired one. We use method of transformation to derive these subfllters analytically. Synthesis of variable fractional delay FIR filters with almost all-pass frequency responses is presented as an example. In conclusion, the proposed structure is useful for implementing derivative-constrained FIR filters.
机译:本文提出了一种新型的有限冲激响应(FIR)滤波器结构。我们解决了构建通用结构的问题,该结构允许直接控制两个给定频率下的频率响应的导数。因此,任何频率响应都可以近似。该结构由FIR次滤波器组成,其频率响应与所需的频率响应无关。我们使用变换的方法来分析得出这些子滤波器。以具有几乎全通频率响应的可变分数延迟FIR滤波器的合成为例。总之,所提出的结构对于实现导数约束的FIR滤波器很有用。

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