Recursive interferometric representations

Recursive interferometry computes invariants with a cascade of complex wavelet transforms and modulus operators and provides invariant representations of stationary processes that preserve signal classes.

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.