Mapping-based width measures and uncertainty relations for periodic functions

M.A. Alonso; M.J. Bastiaans

doi:10.1016/j.sigpro.2004.08.005

Mapping-based width measures and uncertainty relations for periodic functions

M.A. Alonso, M.J. Bastiaans

Research output: Contribution to journal › Article › Academic › peer-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 language	English
Pages (from-to)	2425-2435
Number of pages	11
Journal	Signal Processing
Volume	84
Issue number	12
DOIs	https://doi.org/10.1016/j.sigpro.2004.08.005
Publication status	Published - 2004

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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",

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AU - Alonso, M.A.

AU - Bastiaans, M.J.

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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

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