Title :
Signal representation using wavelet transform modulus maxima
Author :
Liew, A. ; Nguyen, D.T.
Author_Institution :
Dept. of Electr. & Electron. Eng., Tasmania Univ., Hobart, Tas., Australia
Abstract :
We examine the representation of signals by the wavelet transform modulus maxima together with the alternating projection reconstruction algorithm proposed by Mallat. We show that the projection algorithm of Mallat (see IEEE Trans. Patt. Anal. Mach. Intell., vol.14, p.710-732, July 1992, and IEEE Trans. Inform. Theory, vol.38, p.617-643, March 1992) is not minimum distance and not necessarily nonexpansive. Convergence is therefore not guaranteed. We describe an alternative projection operator which is minimum distance and nonexpansive and show that it is monotonically converging
Keywords :
convergence of numerical methods; signal reconstruction; signal representation; wavelet transforms; alternating projection reconstruction algorithm; convergence; minimum distance; projection operator; signal representation; wavelet transform modulus maxima; Discrete wavelet transforms; Image edge detection; Image reconstruction; Modular construction; Reconstruction algorithms; Signal processing; Signal processing algorithms; Signal representations; Wavelet analysis; Wavelet transforms;
Conference_Titel :
Singapore ICCS '94. Conference Proceedings.
Print_ISBN :
0-7803-2046-8
DOI :
10.1109/ICCS.1994.474079
