具有近似线性相位特性的多相波数字滤波器的设计

程海; 江锡仁; 刘小坚

具有近似线性相位特性的多相波数字滤波器的设计

程海^{①;江锡仁},
江锡仁,
刘小坚

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- 被引次数: 0
出版历程
- 收稿日期: 1988-06-22
- 修回日期: 1988-12-01
- 刊出日期: 1990-01-19

DESIGN OF POLYPHASE WAVE DIGITAL FILTERS WITH APPROXIMATELY LINEAR PHASE

Cheng Hai^{①;江锡仁},
Jiang Xiren,
Liu Xiaojian

摘要

摘要: 不考虑相位失真,而要求满足比较苛刻的振幅特性的时候,和FIR滤波器比较起来,采用 IIR 滤波器,计算量要小很多.但对某些IIR滤波器,采取适当的方法,也可以使其相位失真变得很小.本文提出一种新的设计方法,用来设计振幅响应完全满足设计要求,而相位特性用Chebyshev 近似来实现的多相波数字滤波器.这种方法的关键在于确定通带中的若干衰减零点.文中对需要的最小衰减零点数作了估计.实例表明,用这种方法设计的滤波器,时延小,相位特性非常接近线性.
- 数字滤波器; 波数字滤波器; 多相波数字滤波器
Abstract: It is well known that 1IR filters require very few computations, comonred with FIR filters, in order to meet stringent magnitude specifications when the phase distortion can be tolerated. An approximately linear phase, however, can be also obtained with the IIR filter by making use of a technique without increasing complexity. Based on a certain number of attenuation zeros in the pass band, a new approach is developed for the design of polyphase wave digital filters with exact magnitude responses and Chebyshev approximation of the desired phase responses. The minimum number of attenuation zeros is estimated, and two examples are given.

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参考文献(1)

R. Ansari, B. Liu, IEEE Trans. on ASSP, ASSP-31(1983)6, 1366-1373.[2]M. Renters, T. Saramki, A Class of Approximaely Linear Phase Digital Filters Compoosed of Alsubfilters, Proc. of IEEE Int. Symp. Circuits and Systems, California, May 1986, pp. 678-861.C. W. Kim, R. Ansari, Approximately Linear Phase IIR Filters Using Allpass Sections, Proe, of IEEE Int. Symp. Circuits and Systems, California, May 1986, pp. 661-664.[3]R. Ansari, B. Liu, IEEE Trans. on ASSP, ASSP-33(1985)1, 90-97[4]W. Drews.[J].Entwurf and Aufbau Digitaler Polyphasenfilterbnke unter Verwendung von Wellendigitalfiltern, Dissertation, Ruhr-University Bochum, West Germany.1986,:-[5]A. Fettweis, Proc. IEEE, 74(1986)2, 270-327.[6]A. Fettweis, IEEE Trans, on CT, CT-19(1972)11, 668-673.[7]A. Fettweis, K. Meerkotter, IEEE Trans. on CAS, CAS-22(1975)3, 239-246; CAS-22(1975)6, 575.[8]H. Cheng.[J].Untersuchungen von Instabilitten in Digitalfiltern, die unter Schleifenbedingungen Cingesetzt Sind, Diplomarbeit, Ruhr-University Bochum, West Germany.1987,:-[9]M. C. Bellanger, G. Bonnerot, M. Coudreuse, IEEE Trans. on ASSP, ASSP-24(1976)4, 109-114.[10]L, R. Rabiner, B. Gold, Theory and Application of Digital Signal Irocessing, Englewood Oliffs NJ: Prentice-Hall, 1975.[11]L. Gazsi, IEEE Trans. CAS, CAS-32(1985)1, 68-88.[12]X. R. Jiang, On Improving Dynamic Range of Wave Digital Lilters, Proc. of ECCTD-87, Paris, Sept.1987, pp. 363-368.[13]H. W, Schssler, J. Weith, On the Design of Becursive Hilbert-Transformaters, Proc. IEEE, ICASSP 87(TEXAS), pp. 876-879,[14]K. P. Estola, T. Saramki, High Performance FIR Filters without Multipliers for ECG Signal Processing, Proc. of IEEE Int. Symp, Circuits and Systems, Montreal, Canada, May 1984, pp. 1462-1465.

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