Wavelet synthesis by alternating projections

被引：12
|
作者：
Pesquet, JC
Combettes, PL
机构：
[1] ECOLE SUPER ELECT,GDR TDSI,GIF SUR YVETTE,FRANCE
[2] CUNY,GRAD SCH,NEW YORK,NY 10021
[3] CUNY CITY COLL,DEPT ELECT ENGN,NEW YORK,NY 10031
来源：
IEEE TRANSACTIONS ON SIGNAL PROCESSING | 1996年 / 44卷 / 03期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1109/78.489050
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：
The coefficients of the quadrature mirror filters involved in orthonormal wavelet or wavelet packets signal decompositions are often chosen in an ad hoc manner. In order to adapt such a decomposition to the signal being analyzed, it may be pertinent to maximize an energy concentration criterion, which leads to a constrained optimization problem, In this correspondence, a simple geometric interpretation of this problem is given, and an alternating projection method is proposed to solve it.
引用
收藏
页码：728 / 732
页数：5
相关论文
共 50 条
  • [31] CONFORMAL MAPPING BY THE METHOD OF ALTERNATING PROJECTIONS
    WEGMANN, R
    NUMERISCHE MATHEMATIK, 1989, 56 (2-3) : 291 - 307
  • [32] THE RATE OF CONVERGENCE IN THE METHOD OF ALTERNATING PROJECTIONS
    Badea, C.
    Grivaux, S.
    Mueller, V.
    ST PETERSBURG MATHEMATICAL JOURNAL, 2012, 23 (03) : 413 - 434
  • [33] On Local Convergence of the Method of Alternating Projections
    Noll, Dominikus
    Rondepierre, Aude
    FOUNDATIONS OF COMPUTATIONAL MATHEMATICS, 2016, 16 (02) : 425 - 455
  • [34] The Hilbert spectrum via wavelet projections
    Olhede, S
    Walden, AT
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2004, 460 (2044): : 955 - 975
  • [35] Greedy wavelet projections are bounded on BV
    Bechler, Pawel
    Devore, Ronald
    Kamont, Anna
    Petrova, Guergana
    Wojtaszczyk, Przemyslaw
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, 359 (02) : 619 - 635
  • [36] Alternating oblique projections for coupled linear systems
    Luis Manuel Hernández-Ramos
    Numerical Algorithms, 2005, 38 : 285 - 303
  • [37] Color plane interpolation using alternating projections
    Gunturk, BK
    Altunbasak, Y
    Mersereau, R
    2002 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, VOLS I-IV, PROCEEDINGS, 2002, : 3333 - 3336
  • [38] ON CONDITION NUMBERS AND CONVERGENCE OF THE ALTERNATING PROJECTIONS METHOD
    GUACANEME, J
    OGDEN, RD
    HOUSTON JOURNAL OF MATHEMATICS, 1988, 14 (02): : 209 - 217
  • [39] ALTERNATING PROJECTIONS AND INTERPOLATION OF STATIONARY-PROCESSES
    POURAHMADI, M
    JOURNAL OF APPLIED PROBABILITY, 1992, 29 (04) : 921 - 931
  • [40] Collusion resilient fingerprint design by alternating projections
    Altun, H. Oktay
    Shanna, Gaurav
    Orsdemir, Adem
    Bocko, Mark F.
    2007 IEEE INTERNATIONAL CONFERENCE ON IMAGE PROCESSING, VOLS 1-7, 2007, : 2133 - 2136
12345