Gabor systems on positive half line via Walsh-Fourier transform

  • O. Ahmad National Institute of Technology, 190006, Srinagar, India
  • N.A. Sheikh National Institute of Technology, 190006, Srinagar, India
Keywords: Gabor frame, Walsh-Fourier transform, orthogonality
Published online: 2020-12-30

Abstract


Gabor systems play a vital role not only in modern harmonic analysis but also in several fields of applied mathematics, for instances, detection of chirps, or image processing. In this paper, we investigate Gabor systems on positive half line via Walsh-Fourier transform. We provide the complete characterization of orthogonal Gabor systems on positive half line. Furthermore, we provide the characterization of tight frames and orthonormal bases of Gabor systems on positive half line in Fourier domain.

Article metrics
PDF downloads: 69
Abstract views: 84
How to Cite
(1)
AhmadO., SheikhN. Gabor Systems on Positive Half Line via Walsh-Fourier Transform. Carpathian Math. Publ. 2020, 12 (2), 468-482.