Title :
The discrete-time biorthogonal wavelet transform
Author :
Sola, Manuel Á ; Sallent, Sebastià
Author_Institution :
Dept. of Appl. Math. & Telematics, Univ. Politecnica de Catalunya, Barcelona, Spain
Abstract :
We present a methodology to analyze functions in l2 in terms of self-similar discrete-time biorthogonal functions at different resolution levels. We call these functions discrete-time biorthogonal wavelets, and they verify in l2 the same properties that biorthogonal wavelets do in L2, including self-similarity. Discrete multiresolution analysis is also defined
Keywords :
signal resolution; transforms; wavelet transforms; biorthogonal wavelets; discrete multiresolution analysis; discrete time biorthogonal wavelet transform; resolution levels; self similar functions; Differential equations; Discrete wavelet transforms; Erbium; Filter bank; Interpolation; Mathematics; Multiresolution analysis; Signal resolution; Sufficient conditions; Telematics;
Conference_Titel :
Information Theory, 1995. Proceedings., 1995 IEEE International Symposium on
Conference_Location :
Whistler, BC
Print_ISBN :
0-7803-2453-6
DOI :
10.1109/ISIT.1995.550417