Adaptive filter theory
Theory and design of adaptive filters
Theory and design of adaptive filters
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
A unified framework for adaptive filter algorithms with variable step-size
Computers and Electrical Engineering
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Adaptive filtering is an important subfield of digital signal processing having been actively researched for more than four decades and having important applications such as noise cancellation, system identification, and telecommunications channel equalization. In this paper we provide a novel framework for adaptive filtering based on the theory stationary iterative linear equation solvers. We show that a large number of established, and some quite novel, adaptive filtering algorithms can be interpreted as special cases of a generic update equation forming the cornerstone of our framework. The novelty of our contribution is the casting of the adaptive filtering problem as a problem in numerical linear algebra facilitating a clearer understanding and a unified analysis of the various algorithms.