EFFICIENT APPROXIMATION OF CONTINUOUS WAVELET TRANSFORMS


Douglas L. Jones 
  Department of Electrical and Computer Engineering
  University of Illinois
  Urbana, IL 61801

Richard G. Baraniuk 

  Department of Electrical and Computer Engineering
  Rice University
  Houston, TX 77251-1892


An efficient method, based on the chirp-z transform, for computing
equally spaced time samples of a continuous wavelet transform at
arbitrary scale samples is developed.  Applications include efficient
computation of samples of the continuous wavelet transform and the
broadband ambiguity function for time-frequency and time-scale signal
analysis, and optimal detection of moving targets.