This chapter introduces the general concepts of adaptive filtering and its families of algorithms, and settles the basic notation used in the remaining of the book. Section 2.1 presents the fundamentals concepts, highlighting several configurations, such as system identification, interference cancelation, channel equalization, and signal prediction, in which adaptive filters have been successfu...

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Adaptive lters can be made fault tolerant by overparametrization. Conditions are derived such that no deterioration is caused by the redundancy under fault-free operation and that the deterioration caused by weight failures is minimized.

This tutorial introduces the LMS (least mean squares) and the RLS (recursive least-squares) algorithm for the design of adaptive transversal filters. These algorithms are applied for identification of an unknown system. Usage To make full use of this tutorial you have to 1. Download the file AdaptiveFilter.zip which contains this tutorial and the accompanying Matlab program(s). 2. Unzip Adaptiv...

In this paper we provide an in-depth evaluation of the SOM as a feasible tool for nonlinear adaptive filtering. A comprehensive survey of existing SOM-based and related architectures for learning input-output mappings is carried out and the application of these architectures to nonlinear adaptive filtering is formulated. Then, we introduce two simple procedures for building RBF-based nonlinear ...

Notch filters represent a method of estimating and/or tracking sinusoidal frequencies immerged in background noise. We shall refer to adaptive notch IIR filters, which make use of the RLS method. This paper presents an implementation of adaptive notch IIR filters on MOTOROLA StarCore140 DSP. We have used a modified RLS algorithm, more suitable for DSP implementation. The paper presents theoreti...

We present an estimation-based approach to the design of adaptive IIR filters. We also use this approach to design adaptive filters when a feedback signal from the output of the adaptive filter contaminates the reference signal. We use an H, criterion to cast the problem as a nonlinear H, filtering problem, and present an approximate linear H, filtering solution. This linear filtering solution ...

In this paper we introduce the generalized feedforward filter, a new class of adaptive filters that combines attractive properties of finite impulse response (FIR) filters with some of the power of infinite impulse response (IIR) filters. A particular case, the gamma filter, generalizes Widrow’s adaptive transversal filter (adaline) to an infinite impulse response filter. Yet, the stability con...

Two novel adaptive notch filters are presented. The updating algorithms are based on the Steiglitz-McBride error criterion minimization and the basic realizations of the notch filters are all-pass based lattice filters. The proposed realizations represent an extension of a previous ad-hoc scheme for adaptive notch filtering and avoid finding the roots of a high order polynomial to obtain the un...