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具有线性相位的正交多滤波带的因子化

The Factorization of the Orthogonal Multifilter Bank with Linear Phase
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摘要 具有线性相位的正交多滤波带的因子化问题已通过具有某种性质的仿酉矩阵的因子化得到.应用Gram-Schmidt正交化方法进一步研究了该矩阵的因子化,它能够分解成多个一阶仿酉矩阵与一个酉矩阵的乘积.进而通过多滤波带与这个仿酉矩阵的关系能够得到具有线性相应的正交多滤波带的因子化. The factorization of the orthogonal multifilter banks with linear phase can be obtained by paraunitary matrix with some property. We aplly the reference [2] to study the factorization of this matrix, it can be decomposed into the product of some one order paraunitary matrices and an unitary matrix. Furthermore, using the relation between multifilter bank and the matrix, we can derive the factorization of this multifivter bank.
机构地区 北华大学 莆田学院
出处 《北华大学学报(自然科学版)》 CAS 2004年第5期385-389,共5页 Journal of Beihua University(Natural Science)
关键词 酉矩阵 因子 正交化 乘积 线性相位 滤波 分解 有线 Multifilter bank Paraunitary matrix Linear phase
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参考文献6

  • 1[1]PP Vaidyanathan. Multirate Systems and Filter Banks, Prentice Hall, Englewood Cliffs[J]. NJ,1993.
  • 2[2]Jiang Qingtang. Parameterization of M-channel Orthogonal Multifilter Banks[J]. Advances in Computational Mathematics,2000,12:189~211.
  • 3[3]Jiang Qingtang. Symmetric Paraunitary Matrix Extension and Parameterization of Symmetric Orthogonal Multifilter Banks[J]. SLAM J. Matrix Anal. Appl,2001,23(1):167~186.
  • 4[4]Jiang Qingtang. Multivariate Matrix Refinable Functions with Arbitrary Matrix Dilation[J]. Trans. Amer. Math. Sco,1999,351:2407~2438.
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