A fractional Gabor transform

Akan A., ŞAHMUROV V., Çkiç Y.

2001 IEEE International Conference on Acoustics, Speech, and Signal Processing, Salt Lake, UT, United States Of America, 7 - 11 May 2001, vol.6, pp.3529-3532, (Full Text) identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 6
  • City: Salt Lake, UT
  • Country: United States Of America
  • Page Numbers: pp.3529-3532
  • Open Archive Collection: Conference Paper
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

We present a fractional Gabor expansion on a general, non-rectangular 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.