A fractional Gabor transform


Akan A., Shakhmurov V., Cekic Y.

IEEE International Conference on Acoustics, Speech, and Signal Processing, Utah, United States Of America, 7 - 11 May 2001, pp.3529-3532 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume:
  • City: Utah
  • Country: United States Of America
  • Page Numbers: pp.3529-3532

Abstract

We present a fractional Gabor expansion on a general, nonrectangular time-frequency lattice. The traditional Gabor expansion represents a signal in terms of time and frequency shifted basis functions, called Gabor logons. This constant bandwidth analysis results in a fixed, rectangular time frequency plane tiling. Many of the practical signals require a more flexible, non-rectangular time-frequency lattice for a compact representation. The proposed fractional Gabor expansion uses a set of basis functions that are related to the fractional Fourier basis and generate a non-rectangular tiling. The completeness and bi-orthogonality conditions of the new Gabor basis are discussed.