A fractional Gabor transform


Akan A., Shakhmurov V., Cekic Y.

IEEE International Conference on Acoustics, Speech, and Signal Processing, Utah, Amerika Birleşik Devletleri, 7 - 11 Mayıs 2001, ss.3529-3532 identifier identifier

  • Cilt numarası:
  • Basıldığı Şehir: Utah
  • Basıldığı Ülke: Amerika Birleşik Devletleri
  • Sayfa Sayıları: ss.3529-3532

Özet

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.