设计具有几乎线性相位响应的无限脉冲响应滤波器级联的技巧[Tips&Tricks]

IF 9.4 1区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC
David Shiung;Jeng-Ji Huang;Ya-Yin Yang
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引用次数: 0

摘要

设计具有完美频率响应(即平坦通带、尖锐过渡带、高度抑制的阻带和线性相位响应)的滤波器始终是任何数字信号处理(DSP)从业者的最终目标。当我们不限制实现复杂性时,高阶有限脉冲响应(FIR)滤波器可以满足这些要求。与FIR滤波器相比,无限脉冲响应(IIR)滤波器由于其递归结构,为降低复杂度的高性能滤波提供了一种有效的方法。然而,同样由于其递归结构,IIR滤波器固有地具有非线性相位响应,这确实限制了它们的适用性。在本文中,我们提出了两种技巧,将原型IIR滤波器与几个整形全通滤波器(APF)级联,以在其通带上获得几乎线性的相位响应。在对原型和整形滤波器进行精细设计后,我们以降低复杂性的方式实现了完美滤波。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Tricks for Designing a Cascade of Infinite Impulse Response Filters With an Almost Linear Phase Response [Tips & Tricks]
Designing filters with perfect frequency responses (i.e., flat passbands, sharp transition bands, highly suppressed stopbands, and linear phase responses) is always the ultimate goal of any digital signal processing (DSP) practitioner. High-order finite impulse response (FIR) filters may meet these requirements when we put no constraint on implementation complexity. In contrast to FIR filters, infinite impulse response (IIR) filters, owing to their recursive structures, provide an efficient way for high-performance filtering at reduced complexity. However, also due to their recursive structure, IIR filters inherently have nonlinear phase responses, and this does restrain their applicability. In this article, we propose two tricks regarding cascading a prototype IIR filter with a few shaping all-pass filters (APFs) for an almost linear phase response over its passband. After performing a delicate design on the prototype and shaping filters, we approach perfect filtering with reduced complexity.
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来源期刊
IEEE Signal Processing Magazine
IEEE Signal Processing Magazine 工程技术-工程:电子与电气
CiteScore
27.20
自引率
0.70%
发文量
123
审稿时长
6-12 weeks
期刊介绍: EEE Signal Processing Magazine is a publication that focuses on signal processing research and applications. It publishes tutorial-style articles, columns, and forums that cover a wide range of topics related to signal processing. The magazine aims to provide the research, educational, and professional communities with the latest technical developments, issues, and events in the field. It serves as the main communication platform for the society, addressing important matters that concern all members.
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