• DocumentCode
    1342024
  • Title

    Coiflet systems and zero moments

  • Author

    Burrus, C. Sidney ; Odegard, Jan E.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Rice Univ., Houston, TX, USA
  • Volume
    46
  • Issue
    3
  • fYear
    1998
  • fDate
    3/1/1998 12:00:00 AM
  • Firstpage
    761
  • Lastpage
    766
  • Abstract
    The Coifman wavelets created by Daubechies (1992) have more zero moments than imposed by specifications. This results in systems with approximately equal numbers of zero scaling function and wavelet moments and gives a partitioning of the systems into three well-defined classes. The nonunique solutions are more complex than for Daubechies wavelets
  • Keywords
    functional analysis; signal representation; wavelet transforms; Coiflet systems; Coifman wavelets; Daubechies wavelets; nonunique solutions; scaling function; signal expansion; signal representation; systems partitioning; wavelet moments; zero moments; Algorithm design and analysis; Circuits; Convergence; Filter bank; Iterative algorithms; Mirrors; Nonlinear filters; Signal processing; Signal processing algorithms; Speech processing;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.661342
  • Filename
    661342