A class of time-varying wavelet transforms

  • Authors:

  • Iraj Sodagar;Kambiz Nayebi;Thomas P. Barnwell, III

  • Affiliations:

  • Digital Signal Processing Laboratory, Georgia Institute of Technology, School of Electrical Engineering, Atlanta, Georgia;Digital Signal Processing Laboratory, Georgia Institute of Technology, School of Electrical Engineering, Atlanta, Georgia;Digital Signal Processing Laboratory, Georgia Institute of Technology, School of Electrical Engineering, Atlanta, Georgia

  • Venue:
  • ICASSP'93 Proceedings of the 1993 IEEE international conference on Acoustics, speech, and signal processing: digital speech processing - Volume III
  • Year:
  • 1993

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Abstract

In this paper, the concept of the time-varying discrete-time wavelet transform is introduced. In the time-varying wavelet transform, the basic tiling of the time-frequency plane stays unchanged and only the properties of the analysis wavelets are changed in time. Our primary objective in designing such analysis-synthesis structures is to insure that the transform is invertible at all times. Two design procedures are developed based on the time-varying filter bank design. The first approach uses a tree structure of time-varying 2-band filter bank and the second approach is based on parallel nonuniform filter banks. The concept can easily be extended to general tree-structures and wavelet packets.