DocumentCode
2766508
Title
Sparse Representation with Harmonic Wavelets
Author
Cattani, Carlo
Author_Institution
DiFarma, Univ. of Salerno, Fisciano, Italy
Volume
7
fYear
2009
fDate
14-16 Aug. 2009
Firstpage
159
Lastpage
163
Abstract
A simple method, based on harmonic wavelets, is proposed for the decomposition of a suitable signal into a periodic function and a pulse. It will be shown that, under some general conditions, by a simple projection into two disjoint orthogonal space of functions the periodic component of the signal can be separated from the localized part. The proposed algorithm, gives an approximate (scale depending) decomposition and can be used also for an efficient denoising (as shown in the final examples).
Keywords
decomposition; signal denoising; signal representation; wavelet transforms; harmonic wavelets; orthogonal space; periodic component; periodic function; signal denoising; sparse representation; suitable signal decomposition; Discrete wavelet transforms; Fractals; Frequency shift keying; Fuzzy systems; Harmonic analysis; Noise reduction; Signal analysis; Signal processing; Source separation; Wavelet analysis; Harmonic Wavelets; denoising; fractals;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Systems and Knowledge Discovery, 2009. FSKD '09. Sixth International Conference on
Conference_Location
Tianjin
Print_ISBN
978-0-7695-3735-1
Type
conf
DOI
10.1109/FSKD.2009.648
Filename
5359973
Link To Document