Design of an optimal two-channel orthogonal filterbank using semidefinite programming

被引：11
|
作者：
Karmakar, Abhijit [1 ]
Kumar, Arun
Patney, R. K.
机构：
[1] Cent Elect Engn Res Inst, Pilani 333031, Rajasthan, India
[2] Indian Inst Technol, Ctr Appl Res Elect, New Delhi 110016, India
[3] Indian Inst Technol, Dept Elect Engn, New Delhi 110016, India
来源：
IEEE SIGNAL PROCESSING LETTERS | 2007年 / 14卷 / 10期
关键词：
convex formulation; energy compaction finite impulse response (FIR) filter; orthogonal filterbank; semidefinite programming (SDP);
D O I：
10.1109/LSP.2007.896419
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
A simple method for the design of an optimal two-channel finite impulse response (FIR) orthogonal filterbank that minimizes the stopband energy of the filter's impulse response using semidefinite programming (SDP) is presented. The convex formulation is obtained by representing the optimality criterion and the orthogonality constraints in terms of the autocorrelation sequence of the filter's impulse response and mapping them into the SDP framework. The resulting solution is equivalent to the solution obtained by the more complex analytical method.
引用
收藏
页码：692 / 694
页数：3
相关论文
共 50 条
  • [31] Optimal Lewenstein-Sanpera decomposition of two-qubit states using semidefinite programming
    Thiang, Guo Chuan
    Raynal, Philippe
    Englert, Berthold-Georg
    PHYSICAL REVIEW A, 2009, 80 (05):
  • [32] Design method for optimal step size matrix of the affine projection algorithm using semidefinite programming
    Konishi, K
    Okuyama, K
    Kato, A
    Furukawa, T
    2002 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOL III, PROCEEDINGS, 2002, : 41 - 44
  • [33] Stochastic optimal control using semidefinite programming for moment dynamics
    Lamperski, Andrew
    Ghusinga, Khem Raj
    Singh, Abhyudai
    2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC), 2016, : 1990 - 1995
  • [34] K-Optimal Design via Semidefinite Programming and Entropy Optimization
    Marechal, Pierre
    Ye, Jane J.
    Zhou, Julie
    MATHEMATICS OF OPERATIONS RESEARCH, 2015, 40 (02) : 495 - 511
  • [35] Two proposals for robust PCA using semidefinite programming
    McCoy, Michael
    Tropp, Joel A.
    ELECTRONIC JOURNAL OF STATISTICS, 2011, 5 : 1123 - 1160
  • [36] An optimal approach for the critical node problem using semidefinite programming
    Jiang, Cheng
    Liu, Zhonghua
    Wang, Juyun
    Yu, Hua
    Guo, Xiaoling
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2017, 471 : 315 - 324
  • [37] Stabilizing kinetic feedback design using semidefinite programming
    Liptak, Gyorgy
    Rudan, Janos
    Hangos, Katalin M.
    Szederkenyi, Gabor
    IFAC PAPERSONLINE, 2016, 49 (24): : 12 - 17
  • [38] Optimal design of triplet halfband filter banks via semidefinite programming
    Kha, H. H.
    Tuan, H. D.
    Nguyen, T. Q.
    2007 INTERNATIONAL SYMPOSIUM ON COMMUNICATIONS AND INFORMATION TECHNOLOGIES, VOLS 1-3, 2007, : 243 - +
  • [39] Rank-Constrained Separable Semidefinite Programming for Optimal Beamforming Design
    Huang, Yongwei
    Palomar, Daniel P.
    2009 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY, VOLS 1- 4, 2009, : 2432 - 2436
  • [40] On the Design of Arbitrary Shape Two-Channel Filter Bank Using Eigenfilter Approach
    Madhe, Swati P.
    Patil, Bhushan D.
    Holambe, Raghunath S.
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2017, 36 (11) : 4441 - 4452
12345