Title :
Wavelet maxima reconstruction by conjugate gradient
Author :
Law, N.F. ; Liew, A.W.C.
Author_Institution :
Dept. of Mech. & Autom. Eng., Chinese Univ. of Hong Kong, Shatin
fDate :
11/6/1997 12:00:00 AM
Abstract :
The problem of reconstructing a signal from its wavelet transform modulus maxima representation can be formulated as minimising a quadratic term using the conjugate gradient technique. It is shown that this formulation obtains the same result as the accelerated frame algorithm which starts from the frame theory. A method to avoid super-resolution which is inherent in this problem is proposed, based on the measure of the regularity of the signal in the wavelet domain
Keywords :
conjugate gradient methods; signal reconstruction; wavelet transforms; conjugate gradient technique; quadratic term minimisation; super-resolution; wavelet maxima reconstruction; wavelet transform modulus;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:19971338
