Orthogonal multiwavelets with optimum time-frequency resolution

  • Authors:
  • Qingtang Jiang

  • Affiliations:
  • Dept. of Math., Beijing Univ.

  • Venue:
  • IEEE Transactions on Signal Processing
  • Year:
  • 1998

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Abstract

A procedure to design orthogonal multiwavelets with good time-frequency resolution is introduced. Formulas to compute the time-durations and the frequency-bandwidths of scaling functions and multiwavelets are obtained. Parameter expressions for the matrix coefficients of the multifilter banks that generate symmetric/antisymmetric scaling functions and multiwavelets supported in [O,N] are presented for N=2,...,6. Orthogonal multiwavelets with optimum time-frequency resolution are constructed, and some optimal multifilter banks are provided