Uncertainty principles for the short-time Fourier transform on the lattice

Anirudha Poria, Aparajita Dasgupta*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we study a few versions of the uncertainty principle for the short-time Fourier transform on the lattice (Formula presented.). In particular, we establish the uncertainty principle for orthonormal sequences, Donoho–Stark's uncertainty principle, Benedicks-type uncertainty principle, Heisenberg-type uncertainty principle, and local uncertainty inequality for this transform on (Formula presented.). Also, we obtain the Heisenberg-type uncertainty inequality using the k-entropy of the short-time Fourier transform on (Formula presented.).

Original languageEnglish
Pages (from-to)1501-1518
Number of pages18
JournalMathematische Nachrichten
Volume297
Issue number4
DOIs
Publication statusAccepted/In press - 2023

Keywords

  • Benedicks-type uncertainty principle
  • Donoho–Stark's uncertainty principle
  • Heisenberg-type uncertainty inequality
  • short-time Fourier transform

Fingerprint

Dive into the research topics of 'Uncertainty principles for the short-time Fourier transform on the lattice'. Together they form a unique fingerprint.

Cite this