DocumentCode
819232
Title
Closed-form correlation functions of generalized Hermite wavelets
Author
De Abreu, Giuseppe Thadeu Freitas
Author_Institution
Center for Wireless Commun., Univ. of Oulu, Finland
Volume
53
Issue
6
fYear
2005
fDate
6/1/2005 12:00:00 AM
Firstpage
2258
Lastpage
2261
Abstract
A closed-form expression is given for the correlation functions of generalized Hermite wavelets, constructed from an also-generalized definition of Hermite polynomials. Due to their Gaussianity, these wavelets can be used as a tool in the analysis or design of systems involving nonsinusoidal wavelets as well as to model impulsive waveforms found in real-world applications and signal processing problems. As such, the formula is potentially applicable to various areas of science.
Keywords
Gaussian processes; correlation methods; polynomials; signal processing; wavelet transforms; Hermite polynomial; closed-form correlation function; generalized Hermite wavelet; impulsive waveform; signal processing; Biomedical signal processing; Continuous wavelet transforms; Gaussian processes; Image coding; Mathematics; Polynomials; Radar signal processing; Signal processing; Wavelet analysis; Wavelet transforms; Correlation functions; Hermite expansions; Hermite wavelets;
fLanguage
English
Journal_Title
Signal Processing, IEEE Transactions on
Publisher
ieee
ISSN
1053-587X
Type
jour
DOI
10.1109/TSP.2005.847855
Filename
1433154
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