Title :
On the distributions of optimized multiscale representations
Author_Institution :
Stochastic Syst. Group, MIT, Cambridge, MA, USA
Abstract :
Adapted wavelet analysis of signals is achieved by optimizing a selected criterion. We previously introduced a majorization framework for constructing selection functionals, which can be as well suited to compression as to entropy or other methods. We show how these functionals operate on the basis selection and their effect on the statistics of the resulting representation
Keywords :
adaptive signal processing; entropy; functional analysis; functional equations; optimisation; signal representation; statistical analysis; wavelet transforms; adapted wavelet analysis; basis selection; compression; entropy; majorization framework; optimized multiscale representations; selection functionals; signal analysis; statistics; Adaptive signal processing; Cost function; Dictionaries; Entropy; Probability density function; Signal analysis; Statistical analysis; Stochastic systems; Wavelet analysis; Wavelet packets;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1997. ICASSP-97., 1997 IEEE International Conference on
Conference_Location :
Munich
Print_ISBN :
0-8186-7919-0
DOI :
10.1109/ICASSP.1997.604663
