Uncertainty Principles for the Fourier and the Short-Time Fourier Transforms

Anirudha Poria

doi:10.1063/5.0047191

paper

Uncertainty Principles for the Fourier and the Short-Time Fourier Transforms

arXiv:2004.04184 · doi:10.1063/5.0047191

Abstract

The aim of this paper is to establish a few uncertainty principles for the Fourier and the short-time Fourier transforms. Also, we discuss an analogue of Donoho--Stark uncertainty principle and provide some estimates for the size of the essential support of the short-time Fourier transform.

10 pages

References in corpus (1)

Orthonormal sequences in $L^{2} (R^{d})$ and time frequency localization