Generative Modeling Based Manifold Learning for Adaptive Filtering Guidance

Abstract

In most practical adaptive filtering problems, estimated filters are not arbitrary, but instead lie on a manifold that encapsulates characteristics of the problem at hand. Consequently, it is desirable to steer adaptation towards filters that lie on that manifold. In this paper, we propose a novel approach to learn the manifold of a set of impulse responses and subsequently employ that learned manifold in an adaptation algorithm for system identification. The presented approach is a practical adaptive filtering recipe for enforcing a data-driven search domain constraint, instead of using conventional constrained optimization methods.