It is shown that the weak convergence results of A. Benveniste et al.(IEEE Trans. Automat.
Contr., vol. AC-25, p. 1042-58, Dec. 1980) can be used to prove convergence of some …

The basic adaptive filtering algorithm X_ n+ 1^ ϵ= X_ n^ ϵ-ϵ Y_ n (Y_ n^'X_ n^ ϵ-n) is
analyzed using the theory of weak convergence. Apart from some very special cases, the …

It is shown how different structures of an adaptive filter lead to a change in the characteristics
of the corresponding error surface and, consequently, to a change in the corresponding …

Generalized feedforward filters, a class of adaptive filters that combines attractive properties
of finite impulse response (FIR) filters with some of the power of infinite impulse response …

The purpose of this communication is to discuss an IIR adaptive filter algorithm developed
by Stearns [1], in terms of an example that appeared in a recent article [2]. The example …

An overview is presented of several methods, filter structures, and recursive algorithms used
in adaptive infinite-impulse response (IIR) filtering. Both the equation-error and output-error …

A tutorial-style framework is presented for understanding the current status of adaptive
infinite-impulse-response (IIR) filters. The paper begins with a detailed discussion of the …

In the study of the behavior of adaptive filtering algorithms, persistence of excitation of the
input process arises as a sufficient condition for convergence and, perhaps more …

The convergence properties of constrained adaptive filtering algorithms are established. The
constraint is in the form of a bounded set in which the filter's coefficients must lie. A recursive …

Recently there has been increased interest in high speed adaptive filtering where the usual
stochastic gradient or least mean-square (LMS) algorithm is replaced with the simpler …