The recursive pyramid algorithm for the discrete wavelet transform

  • Authors:
  • M. Vishwanath

  • Affiliations:
  • Dept. of Comput. Sci., Pennsylvania State Univ., University Park, PA

  • Venue:
  • IEEE Transactions on Signal Processing
  • Year:
  • 1994

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Abstract

The recursive pyramid algorithm (RPA) is a reformulation of the classical pyramid algorithm (PA) for computing the discrete wavelet transform (DWT). The RPA computes the N-point DWT in real time (running DWT) using just L(log N-1) words of storage, as compared with O(N) words required by the PA. L is the length of the wavelet filter. The RPA is combined with the short-length FIR filter algorithms to reduce the number of multiplications and additions