SVD properties of orthogonal two-channel filter banks

被引:3
|
作者
Mansour, Mohamed F. [1 ]
机构
[1] Texas Instruments Inc, Dallas, TX 75243 USA
关键词
Orthogonal filter banks; Wavelets; Singular Value Decomposition; Zero padding; FINITE-LENGTH SIGNALS; OPTIMIZATION; DESIGN;
D O I
10.1016/j.acha.2011.02.004
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study the Singular Value Decomposition (SVD) of the three building blocks of the matrix representation of two-channel orthogonal filter banks. We show the highly structured decomposition of these blocks and derive their mutual relations. We give examples to exploit the SVD properties in the implementation and design of orthogonal filter banks and wavelets. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码:16 / 27
页数:12
相关论文
共 50 条
  • [1] Effectiveness of Lattice Factorization of Two-Channel Orthogonal Filter Banks
    Yatsymirskyy, Mykhaylo
    Stokfiszewski, Kamil
    [J]. 2012 JOINT CONFERENCE NEW TRENDS IN AUDIO & VIDEO AND SIGNAL PROCESSING: ALGORITHMS, ARCHITECTURES, ARRANGEMENTS, & APPLICATIONS (NTAV-SPA 2012), 2012, : 275 - 279
  • [2] An iterative method for designing orthogonal two-channel FIR filter banks with regularities
    Bregovic, R
    Saramäki, T
    [J]. 2000 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, PROCEEDINGS, VOLS I-VI, 2000, : 484 - 487
  • [3] Two-channel, separable, complex, orthogonal, perfect reconstruction filter banks and wavelets
    Usevitch, B.
    [J]. 2007 IEEE International Conference on Acoustics, Speech, and Signal Processing, Vol III, Pts 1-3, Proceedings, 2007, : 913 - 916
  • [4] An algorithm for the design of multiplierless two-channel perfect reconstruction orthogonal lattice filter banks
    Yli-Kaakinen, J
    Saramäki, T
    Bregovic, R
    [J]. ISCCSP : 2004 FIRST INTERNATIONAL SYMPOSIUM ON CONTROL, COMMUNICATIONS AND SIGNAL PROCESSING, 2004, : 415 - 418
  • [5] On two-channel orthogonal cyclic filter banks with half-sample symmetric filters
    Ichiwara, Katsuhiro
    Uto, Toshiyuki
    Morimoto, Tatsuya
    Ohue, Kenji
    [J]. 2007 6TH INTERNATIONAL CONFERENCE ON INFORMATION, COMMUNICATIONS & SIGNAL PROCESSING, VOLS 1-4, 2007, : 1132 - 1135
  • [6] On two-channel orthogonal and symmetric complex-valued FIR filter banks and their corresponding wavelets
    Gao, XQ
    Nguyen, TQ
    Strang, G
    [J]. 2002 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, VOLS I-IV, PROCEEDINGS, 2002, : 1237 - 1240
  • [7] Wavelet Packets Analysis Based on IIR Two-channel Bi-orthogonal Filter Banks
    Yan Guixia and Zhao Eryuan (Institute of Telecommunication Engineering
    [J]. The Journal of China Universities of Posts and Telecommunications, 1998, (02) : 41 - 46
  • [8] Symmetric extension for two-channel quincunx filter banks
    Chen, Y
    Adams, MD
    Lu, WS
    [J]. 2005 International Conference on Image Processing (ICIP), Vols 1-5, 2005, : 329 - 332
  • [9] On two-channel filter banks with directional vanishing moments
    da Cunha, Arthur L.
    Do, Minh N.
    [J]. IEEE TRANSACTIONS ON IMAGE PROCESSING, 2007, 16 (05) : 1207 - 1219
  • [10] Filter Design for Two-Channel Filter Banks on Directed Bipartite Graphs
    Tay, David B.
    [J]. IEEE SIGNAL PROCESSING LETTERS, 2020, 27 : 2094 - 2098