Title :
The Fuzzy Projection: A simple adaptive decomposition of signals
Author :
Crouzet, Jean-François
Author_Institution :
Inst. de Math. et de Modelisation de Montpellier, Univ. Montpellier 2, Montpellier, France
Abstract :
In this study, we introduce a new way to decompose a signal on a partition of unity: the Fuzzy Projection. We compare it with the classical and closely related Inverse Fuzzy transform and we present convergence results. A numerical test is performed, that suggests the robustness of the Fuzzy Projection with respect to noise and its ability to perform signal compression.
Keywords :
adaptive signal processing; convergence; data compression; fuzzy set theory; inverse transforms; adaptive signal decomposition; convergence; fuzzy projection; inverse fuzzy transform; signal compression; Approximation methods; Convergence; Eigenvalues and eigenfunctions; Fuzzy logic; Noise; Robustness; Transforms;
Conference_Titel :
Signal Processing (ICSP), 2010 IEEE 10th International Conference on
Conference_Location :
Beijing
Print_ISBN :
978-1-4244-5897-4
DOI :
10.1109/ICOSP.2010.5657042
