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An Optimal Basis of Band-Limited Functions for Signal Analysis and Design

Wei, Liying; Kennedy, Rodney; Lamahewa, Tharaka


This paper studies signal concentration in the time and frequency domains using the general constrained variational method of Franks. The minimum k th (k=0,2,4....) moment time-duration measure for band-limited signals is formulated. A complete, orthonormal set of band-limited functions in L2([-W,W]) with the minimum fourth-moment time-duration measure is obtained. Numerical investigations of our optimal 4th moment functions show: 1) less energy concentration in the main lobe than the prolate...[Show more]

CollectionsANU Research Publications
Date published: 2010
Type: Journal article
Source: IEEE Transactions on Signal Processing
DOI: 10.1109/TSP.2010.2057427


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