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用lifting方法設(shè)計最優(yōu)LPPR-FIR濾波器組

陳佩,  張衛(wèi)東,  許曉鳴,  徐潤生

陳佩, 張衛(wèi)東, 許曉鳴, 徐潤生. 用lifting方法設(shè)計最優(yōu)LPPR-FIR濾波器組[J]. 電子與信息學(xué)報, 2002, 24(9): 1202-1208.
引用本文: 陳佩, 張衛(wèi)東, 許曉鳴, 徐潤生. 用lifting方法設(shè)計最優(yōu)LPPR-FIR濾波器組[J]. 電子與信息學(xué)報, 2002, 24(9): 1202-1208.
Chen Pei, Zhang Weidong, Xu Xiaoming, Xu Runsheng . Construction of M-band LPPR-FIR filter banks by lifting scheme[J]. Journal of Electronics & Information Technology, 2002, 24(9): 1202-1208.
Citation: Chen Pei, Zhang Weidong, Xu Xiaoming, Xu Runsheng . Construction of M-band LPPR-FIR filter banks by lifting scheme[J]. Journal of Electronics & Information Technology, 2002, 24(9): 1202-1208.

用lifting方法設(shè)計最優(yōu)LPPR-FIR濾波器組

Construction of M-band LPPR-FIR filter banks by lifting scheme

  • 摘要: 該文研究了如何用lifting方法構(gòu)造線性相位完全重建有限脈沖響應(yīng)(LPPR-FIR)濾波器組的優(yōu)化設(shè)計問題,即如何轉(zhuǎn)化為一個二次型優(yōu)化問題.然后把該方法推廣到M帶FIR濾波器組,考慮在一種特殊情形中如何構(gòu)造具有線性相位性質(zhì)的M帶PR-FIR濾波器組,最后列舉了幾個例子說明如何用lifting方法構(gòu)造M帶LPPR-FIR濾波器組。
    Abstract: This paper studies the design and optimization of LPPR-FIR filter banks by liftingscheme. It can be commutated into a quadratic optimization problem. Then, lifting scheme is generalized to the case of M-band perfect-reconstruction (PR) FIR filter banks. Last, some examples will be given to demonstrate how to construct LPPR-FIR filter banks.
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  • W. Sweldens, The lifting scheme: A construction of second generation wavelets, SIAM J. Math.Anal., 1997, 29(2), 511-546.[2]W. Sweldens, The lifting scheme: A custom-design construction of biorthogonal wavelets, AppliedComputational Harmonic Analysis, 1996, 3(2), 186-260.[3]I. Daubechies, W. Sweldens, Factoring wavelet transforms into lifting steps, J. Fourier Anal.Appl., 1998, 4(3), 247-269.[4]陳佩,許曉鳴等,用Lifting方法構(gòu)造具有線性相位的雙正交小波,電子與信息學(xué)報,24(4),486-491.[5]T.Q. Nguyen, P. P. Vaidyanathan, Two-channel perfect-reconstruction FIR QMF structrueswhich yield linear-phase analysis and synthesis filters, IEEE Trans. on ASSP, 1989, 37(5), 676-690.[6]T.Q. Nguyen, P. P. Vaidyanathan, Structrues for M-channel perfect-reconstruction FIR QMFbanks which yield linear-phase filters, IEEE Trans. on ASSP, 1990, 38(3), 433-446.[7]A. Cohen, I. Daubechies, Biorthogonal bases of compactly supported wavelets, Communicationson Pure and Applied Mathematis, 1992, XLV, 485-560.
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  • 收稿日期:  2000-10-16
  • 修回日期:  2001-04-05
  • 刊出日期:  2002-09-19

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