Mapping-based width measures and uncertainty relations for periodic functions

M.A. Alonso, M.J. Bastiaans

Research output: Contribution to journalArticleAcademicpeer-review

5 Citations (Scopus)

Abstract

Measures for the width of a periodic function are discussed, based on five different mappings of a (periodic) function on a circle to a (non-periodic) function on a line or line segment. The uncertainty relations corresponding to these measures are also obtained by using a generalization of the Cauchy-Schwarz inequality.
Original languageEnglish
Pages (from-to)2425-2435
Number of pages11
JournalSignal Processing
Volume84
Issue number12
DOIs
Publication statusPublished - 2004

Fingerprint

Uncertainty

Cite this

@article{5d5013afd6b649909b25b0755a125bac,
title = "Mapping-based width measures and uncertainty relations for periodic functions",
abstract = "Measures for the width of a periodic function are discussed, based on five different mappings of a (periodic) function on a circle to a (non-periodic) function on a line or line segment. The uncertainty relations corresponding to these measures are also obtained by using a generalization of the Cauchy-Schwarz inequality.",
author = "M.A. Alonso and M.J. Bastiaans",
year = "2004",
doi = "10.1016/j.sigpro.2004.08.005",
language = "English",
volume = "84",
pages = "2425--2435",
journal = "Signal Processing",
issn = "0165-1684",
publisher = "Elsevier",
number = "12",

}

Mapping-based width measures and uncertainty relations for periodic functions. / Alonso, M.A.; Bastiaans, M.J.

In: Signal Processing, Vol. 84, No. 12, 2004, p. 2425-2435.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Mapping-based width measures and uncertainty relations for periodic functions

AU - Alonso, M.A.

AU - Bastiaans, M.J.

PY - 2004

Y1 - 2004

N2 - Measures for the width of a periodic function are discussed, based on five different mappings of a (periodic) function on a circle to a (non-periodic) function on a line or line segment. The uncertainty relations corresponding to these measures are also obtained by using a generalization of the Cauchy-Schwarz inequality.

AB - Measures for the width of a periodic function are discussed, based on five different mappings of a (periodic) function on a circle to a (non-periodic) function on a line or line segment. The uncertainty relations corresponding to these measures are also obtained by using a generalization of the Cauchy-Schwarz inequality.

U2 - 10.1016/j.sigpro.2004.08.005

DO - 10.1016/j.sigpro.2004.08.005

M3 - Article

VL - 84

SP - 2425

EP - 2435

JO - Signal Processing

JF - Signal Processing

SN - 0165-1684

IS - 12

ER -