A fractional Gabor expansion


Akan A. , ÇEKİÇ Y.

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, cilt.340, sa.5, ss.391-397, 2003 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 340 Konu: 5
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1016/j.jfranklin.2003.08.004
  • Dergi Adı: JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
  • Sayfa Sayıları: ss.391-397

Özet

We present a fractional Gabor expansion on a non-rectangular time-frequency lattice. Sinusoidal analysis used in the traditional Gabor expansion is not appropriate for a compact representation for chirp-type signals. Basis functions of the proposed expansion are obtained via fractional Fourier basis. Completeness and biorthogonality conditions of the new expansion are derived. (C) 2003 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

We present a fractional Gabor expansion on a non-rectangular time–frequency lattice. Sinusoidal analysis used in the traditional Gabor expansion is not appropriate for a compact representation for chirp-type signals. Basis functions of the proposed expansion are obtained via fractional Fourier basis. Completeness and biorthogonality conditions of the new expansion are derived.