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

Chen Pei; Zhang Weidong; Xu Xiaoming; Xu Runsheng

Volume 24 Issue 9

Sep. 2002

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Article Navigation > Journal of Electronics & Information Technology > 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.

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.

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

Received Date: 2000-10-16
Rev Recd Date: 2001-04-05
Publish Date: 2002-09-19

Abstract

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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References(1)

References

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]陈佩,许晓鸣等,用Lifting方法构造具有线性相位的双正交小波,电子与信息学报,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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