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具有近似線性相位特性的多相波數(shù)字濾波器的設(shè)計(jì)

程海,  江錫仁,  劉小堅(jiān)

程海, 江錫仁, 劉小堅(jiān). 具有近似線性相位特性的多相波數(shù)字濾波器的設(shè)計(jì)[J]. 電子與信息學(xué)報(bào), 1990, 12(1): 14-21.
引用本文: 程海, 江錫仁, 劉小堅(jiān). 具有近似線性相位特性的多相波數(shù)字濾波器的設(shè)計(jì)[J]. 電子與信息學(xué)報(bào), 1990, 12(1): 14-21.
Cheng Hai, Jiang Xiren, Liu Xiaojian. DESIGN OF POLYPHASE WAVE DIGITAL FILTERS WITH APPROXIMATELY LINEAR PHASE[J]. Journal of Electronics & Information Technology, 1990, 12(1): 14-21.
Citation: Cheng Hai, Jiang Xiren, Liu Xiaojian. DESIGN OF POLYPHASE WAVE DIGITAL FILTERS WITH APPROXIMATELY LINEAR PHASE[J]. Journal of Electronics & Information Technology, 1990, 12(1): 14-21.

具有近似線性相位特性的多相波數(shù)字濾波器的設(shè)計(jì)

DESIGN OF POLYPHASE WAVE DIGITAL FILTERS WITH APPROXIMATELY LINEAR PHASE

  • 摘要: 不考慮相位失真,而要求滿足比較苛刻的振幅特性的時(shí)候,和FIR濾波器比較起來(lái),采用 IIR 濾波器,計(jì)算量要小很多.但對(duì)某些IIR濾波器,采取適當(dāng)?shù)姆椒?也可以使其相位失真變得很小.本文提出一種新的設(shè)計(jì)方法,用來(lái)設(shè)計(jì)振幅響應(yīng)完全滿足設(shè)計(jì)要求,而相位特性用Chebyshev 近似來(lái)實(shí)現(xiàn)的多相波數(shù)字濾波器.這種方法的關(guān)鍵在于確定通帶中的若干衰減零點(diǎn).文中對(duì)需要的最小衰減零點(diǎn)數(shù)作了估計(jì).實(shí)例表明,用這種方法設(shè)計(jì)的濾波器,時(shí)延小,相位特性非常接近線性.
    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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  • 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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出版歷程
  • 收稿日期:  1988-06-22
  • 修回日期:  1988-12-01
  • 刊出日期:  1990-01-19

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