Oversampled modulated filter banks and tight Gabor frames in l/sup 2/(Z)

  • Authors:

  • Z. Cvetkovic

  • Affiliations:

  • Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA, USA

  • Venue:
  • ICASSP '95 Proceedings of the Acoustics, Speech, and Signal Processing, 1995. on International Conference - Volume 02
  • Year:
  • 1995

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Abstract

The subject of this study is paraunitary modulated filter banks. A factorization of the polyphase matrices of these filter banks, which is described, gives complete characterization of tight Gabor frames in l/sup 2/(Z), with arbitrary rational oversampling ratios. Tight Gabor frames, being less constrained than orthogonal bases, allow for filter bank designs with good localization in both time and frequency.