DocumentCode
3523551
Title
Mapping-based uncertainty relations for periodic functions
Author
Bastiaans, Martin J. ; Alonso, Miguel A.
Author_Institution
Fac. Elektrotechniek, Technische Univ. Eindhoven, Netherlands
fYear
2003
fDate
14-17 Dec. 2003
Firstpage
625
Lastpage
628
Abstract
Based on five different mappings of a function on a circle (i.e. a periodic function) to a function on a line or a line segment (i.e. a non-periodic function), measures for the width of a periodic function (expressed in terms of centered second-order moments) are studied, and the associated uncertainty relations are derived, using a generalized version of the Cauchy-Schwarz inequality.
Keywords
Fourier transforms; functions; uncertain systems; Cauchy-Schwarz inequality; mapping-based uncertainty relations; periodic function; second-order moments; Density measurement; Fourier transforms; Measurement uncertainty; Mechanical variables measurement; Particle measurements;
fLanguage
English
Publisher
ieee
Conference_Titel
Signal Processing and Information Technology, 2003. ISSPIT 2003. Proceedings of the 3rd IEEE International Symposium on
Print_ISBN
0-7803-8292-7
Type
conf
DOI
10.1109/ISSPIT.2003.1341198
Filename
1341198
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