Band-limited Signal Concentration in Time-frequency
Date
2009
Authors
Wei, Liying
Kennedy, Rodney
Lamahewa, Tharaka
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Publisher
Institute of Electrical and Electronics Engineers (IEEE Inc)
Abstract
This paper studies signal concentration in timefrequency using the general constrained variational method of Franks. We apply this method to formulate the minimum fourthmoment time-duration measure in the time interval [-T/2, T/2] for band-limited signals. An orthonormal basis of band-limited functions with the minimum fourth-moment time-duration measure is obtained. Comparing our optimal band-limited signals with Gabor's function with the minimum second-moment timeduration measure, simulation results show that our function has better properties: 1) faster decaying rate; 2) larger main lobe; and 3) higher energy concentration measure.
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Keywords
Keywords: Band-limited functions; Band-limited signal; Energy concentration; Orthonormal basis; Simulation result; Time frequency; Time interval; Variational methods; Signal processing; Communication systems
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Source
Proceedings of International Conference on Signal Processing and Communication Systems (ICSPCS 2009)
Type
Conference paper
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Restricted until
2037-12-31
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