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一種基于正交多小波的自適應(yīng)均衡算法

王軍鋒,  宋國鄉(xiāng)

王軍鋒, 宋國鄉(xiāng). 一種基于正交多小波的自適應(yīng)均衡算法[J]. 電子與信息學(xué)報(bào), 2002, 24(11): 1525-1529.
引用本文: 王軍鋒, 宋國鄉(xiāng). 一種基于正交多小波的自適應(yīng)均衡算法[J]. 電子與信息學(xué)報(bào), 2002, 24(11): 1525-1529.
Wang Junfeng, Song Guoxiang. A new adaptive equalization algorithm based on orthogonal multiwavelets[J]. Journal of Electronics & Information Technology, 2002, 24(11): 1525-1529.
Citation: Wang Junfeng, Song Guoxiang. A new adaptive equalization algorithm based on orthogonal multiwavelets[J]. Journal of Electronics & Information Technology, 2002, 24(11): 1525-1529.

一種基于正交多小波的自適應(yīng)均衡算法

A new adaptive equalization algorithm based on orthogonal multiwavelets

  • 摘要: 該文提出了用正交多小波來表示均衡器,由于多小波可同時(shí)具有正交性、緊支性和線性相位等特點(diǎn),因此經(jīng)多小波變換后所得到的信號(hào)相關(guān)陣的稀疏化估計(jì)與單小波變換相比非零元素較少,邊界效應(yīng)減小,基于此,文中給出了正交多小波變換域的一種Newton-LMS類自適應(yīng)均衡算法,其計(jì)算復(fù)雜性可通過有預(yù)處理的共軛梯度法進(jìn)一步降低為O(N log N),仿真結(jié)果表明了該算法收斂速度較快,且易于實(shí)時(shí)實(shí)現(xiàn)。
    Abstract: A new equalizer represented by a set of orthogonal multiwavelets is presented. Since multiwavelets can be orthogonal, compactly supported and linear phase, the multiwavelets transformed correlation matrices have less non-zero elements and smaller boundary effects than that of wavelet. So, a new multiwavelet transform domain newton-LMS adaptive equalization algorithm is described, and its complexity is O(N log N) by using the preconditioned conjugate gradient algorithm. Simulation shows its convergence speed is faster and its realization is easier.
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  • N. Erdol, F. Basbug, Wavelet transform based adaptive filters: Analysis and new results, IEEE Trans. on SP., 1996, SP-44(9), 2163-2171.[2]S. Hosur, A. H. Tewfik, Wavelet transform domain adaptive filtering, IEEE Trans. on SP., 1997,SP-45(3), 617-630.[3]劉豐,程俊,王新梅,基于規(guī)范正交小波的自適應(yīng)均衡器,電子科學(xué)學(xué)刊,1997,19(5),637-642.[4]I. Daubechies, Ten Lectures on Wavelets, Philadephia, SIAM, 1992.[5]Q. Jiang, Orthogonal multiwavelets with optimum time-frequency, IEEE Trans. on SP., 1998,SP-46(4), 830-844.[6]J. Lebrun, M. Vrtterli, Balanced multiwavelets theory and design, IEEE Trans. on SP., 1998,SP-46(4), 1119-1125.[7]B.K. Alpert, A class of bases in L2 for the sparse representation of integral operators, SIAM J.Math. Anal., 1993, 24(1), 246-262.[8]V. Strela, P. Heller, G. Strang, P. Topiwala, C. Heil, The application of multiwavelet filter banks to signal and image processing, IEEE Trans. on Image Proc., 1999, IP-8(4), 548-563.[9]徐樹方,矩陣計(jì)算的理論與方法,北京,北京大學(xué)出版社,1995,162-168.
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出版歷程
  • 收稿日期:  2001-04-13
  • 修回日期:  2001-10-18
  • 刊出日期:  2002-11-19

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