Title :
Constructing wavelets from desired signal functions
Author :
Chapa, Joseph O. ; Raghuveer, Mysore
Author_Institution :
Center for Imaging Sci., Rochester Inst. of Technol., NY, USA
Abstract :
A limitation to wavelet design is the inability to construct orthonormal wavelets that match or are “tuned” to a desired signal. This paper develops a technique for constructing an orthonormal wavelet that is optimized in the least squares sense, and whose associated scaling function generates an orthonormal multiresolution analysis (OMRA)
Keywords :
least squares approximations; optimisation; signal processing; wavelet transforms; least squares optimization; orthonormal multiresolution analysis; orthonormal wavelets; scaling function; signal functions; wavelet construction; wavelet design; Discrete wavelet transforms; Equations; Filters; Frequency domain analysis; Least squares methods; Multiresolution analysis; Signal design; Signal generators; Signal resolution; Wavelet analysis;
Conference_Titel :
Information Theory and Statistics, 1994. Proceedings., 1994 IEEE-IMS Workshop on
Conference_Location :
Alexandria, VA
Print_ISBN :
0-7803-2761-6
DOI :
10.1109/WITS.1994.513910
