Title :
Convergence condition of adaptive algorithm of nonlinear adaptive digital filter
Author :
Kobayashi, Masaki ; Itoh, Yoshio ; Okello, James
Author_Institution :
Dept. of Inf. & Comput. Sci., Ibaraki Univ., Japan
fDate :
8/1/1999 12:00:00 AM
Abstract :
In this brief, we consider the adaptive algorithm and the convergence condition of the nonlinear adaptive digital filter (ADF) that has a general transfer function. The adaptive algorithm is based on the orthogonality principle, and the updating value of the algorithm is the correlation of the input signal to the weights and the estimation error. The sufficient condition of the unknown system for which the weight vector of the ADF converges to the weight vector of the unknown system is derived
Keywords :
adaptive filters; convergence; digital filters; nonlinear filters; transfer functions; adaptive algorithm; convergence condition; estimation error; input signal; nonlinear adaptive digital filter; orthogonality principle; transfer function; updating value; weight vector; Adaptive algorithm; Circuits; Convergence; Delta-sigma modulation; Digital filters; Estimation error; Limit-cycles; Signal processing; Stability; Transfer functions;
Journal_Title :
Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
