Time-frequency localization and sampling of multiband signals
type: Item
instance of: scholarly article
title: Time-frequency localization and sampling of multiband signals
zbMATH Open document ID: 1178.94077
author: Scott Izu
author: Joseph Lakey
published in: Acta Applicandae Mathematicae
publication date: 2009-11-20T00:00:00Z
review text: This survey paper presents results and open problems regarding sampling and time-frequency localization of multiband signals. This paper begins with a review of some classical work concerning essentially time- and bandlimited signals [see e.g. \textit{H. J. Landau}, IEEE Trans. Inf. Theory 39, No. 4, 1152--1156 (1993; Zbl 0808.94004)] and ends reviewing some work of \textit{E. Candès} and \textit{J. Romberg} [Inverse Probl. 23, No. 3, 969--985 (2007; Zbl 1120.94005)] that places probabilistic limitations on essential time- and bandlimiting for finite signals and their discrete Fourier transforms. In between the authors outline some connections from the continuous, singleband setting to the finite, multiband setting and pose some open problems. These connections involve time-frequency localization of multiband signals and sampling theory for such signals.
reviewed by: Manfred Tasche
Mathematics Subject Classification ID: 94A12
Mathematics Subject Classification ID: 94A20
Mathematics Subject Classification ID: 62B10
zbMATH DE Number: 5636314
zbMATH Keywords: essentially time- and bandlimited signal
zbMATH Keywords: time-frequency localization
zbMATH Keywords: sampling
zbMATH Keywords: multiband signal
zbMATH Keywords: uncertainty principle
zbMATH Keywords: Nyquist sampling rate
zbMATH Keywords: sparsity
zbMATH Keywords: compressive sampling
MaRDI profile type: Publication
full work available at URL: s10440-008-9416-y
OpenAlex ID: W1972422297
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DOI: 10.1007/S10440-008-9416-Y
description: scientific article; zbMATH DE number 5636314