Title :
Recursive interferometric representations
Author :
Mallat, Stephane
Author_Institution :
CMAP, Ecole Polytech., Palaiseau, France
Abstract :
Classification requires building invariant representations relatively to groups of deformations that preserve signal classes. Recursive interferometry computes invariants with a cascade of complex wavelet transforms and modulus operators. The resulting representation is stable relatively to elastic deformations and provides invariant representations of stationary processes. It maps signals to a manifold which preserves signal discriminability.
Keywords :
elastic deformation; interferometry; signal classification; signal representation; wavelet transforms; elastic deformations; modulus operators; recursive interferometric representations; recursive interferometry; signal classes; signal discriminability; wavelet transforms; Convolution; Fourier transforms; Interference; Interferometry; Manifolds; Wavelet transforms;
Conference_Titel :
Signal Processing Conference, 2010 18th European
Conference_Location :
Aalborg