Open AccessGabor systems on positive half line via Walsh-Fourier transform
Author(s) -
Owais Ahmad,
Neyaz Ahmad Sheikh
Publication year - 2020
Publication title -
karpatsʹkì matematičnì publìkacìï
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.63
H-Index - 4
eISSN - 2313-0210
pISSN - 2075-9827
DOI - 10.15330/cmp.12.2.468-482
Subject(s) - orthonormal basis , gabor transform , fourier transform , mathematics , walsh function , fourier domain , characterization (materials science) , line (geometry) , domain (mathematical analysis) , fractional fourier transform , frequency domain , harmonic , time–frequency analysis , fourier analysis , mathematical analysis , computer vision , computer science , optics , acoustics , geometry , physics , filter (signal processing) , quantum mechanics
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.