6. A new point of view: the "parsimonious path".
Since the advent of Hilbertian signal decomposition methods, and more particularly wavelet decomposition methods, a new approach has gradually emerged, based on the following empirical observation: a good representation for a signal or a class of signals tends to concentrate information on a small number of coefficients. This is known as the parsimony property, on which we'll focus below.
6.1 Notion of parsimony
Given a signal x, and a representation of it by a sequence of coefficients αk (which can be either samples or the coefficients of its decomposition on any basis, Fourier or otherwise), this representation is said to be parsimonious if the proportion of non-zero, or numerically significant, coefficients is low. To clarify this notion, it is necessary to define a measure...
Exclusive to subscribers. 97% yet to be discovered!
Already subscribed? Log in!
A new point of view: the "parsimonious path".
Appendices
Bibliography
Exclusive to subscribers. 97% yet to be discovered!
Already subscribed? Log in!
Article included in this offer
"Signal processing and its applications"
(
159 articles
)
Updated and enriched with articles validated by our scientific committees
A set of exclusive tools to complement the resources
