TY - GEN
T1 - Parsimonious representation of signals based on scattering transform
AU - Sorine, Michel
AU - Zhang, Qinghua
AU - Laleg, Taous Meriem
AU - Crépeau, Emmanuelle
PY - 2008
Y1 - 2008
N2 - A parsimonious representation of signals is a mathematic model parametrized with a small number of parameters. Such models are useful for analysis, interpolation, filtering, feature extraction, and data compression. A new parsimonious model is presented in this paper based on scattering transforms. It is closely related to the eigenvalues and eigenfunctions of the linear Schrödinger equation. The efficiency of this method is illustrated in this paper with examples of both synthetic and real signals.
AB - A parsimonious representation of signals is a mathematic model parametrized with a small number of parameters. Such models are useful for analysis, interpolation, filtering, feature extraction, and data compression. A new parsimonious model is presented in this paper based on scattering transforms. It is closely related to the eigenvalues and eigenfunctions of the linear Schrödinger equation. The efficiency of this method is illustrated in this paper with examples of both synthetic and real signals.
KW - Filtering and smoothing
KW - Nonparametric methods
UR - http://www.scopus.com/inward/record.url?scp=79961020203&partnerID=8YFLogxK
U2 - 10.3182/20080706-5-KR-1001.2349
DO - 10.3182/20080706-5-KR-1001.2349
M3 - Conference contribution
AN - SCOPUS:79961020203
SN - 9783902661005
T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)
BT - Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC
T2 - 17th World Congress, International Federation of Automatic Control, IFAC
Y2 - 6 July 2008 through 11 July 2008
ER -