Title :
Mapping-based uncertainty relations for periodic functions
Author :
Bastiaans, Martin J. ; Alonso, Miguel A.
Author_Institution :
Fac. Elektrotechniek, Technische Univ. Eindhoven, Netherlands
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;
Conference_Titel :
Signal Processing and Information Technology, 2003. ISSPIT 2003. Proceedings of the 3rd IEEE International Symposium on
Print_ISBN :
0-7803-8292-7
DOI :
10.1109/ISSPIT.2003.1341198
