Variable step-size LMS algorithm with a quotient form
Signal Processing
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A new LMS based variable step size adaptive algorithm is presented. The step size is incremented or decremented by a small positive value, whenever the instantaneous error is positive or negative, respectively. The algorithm is simple, robust and efficient. It is characterized by fast convergence and low steady state mean squared error. The performance of the algorithm is analysed for a stationary zero-mean white-Gaussian input. MC simulations are provided to demonstrate its improved performance over the conventional LMS (Proc. IEEE 1976; 64:1151–1162) and some other variable step size adaptive algorithms (IEEE Trans. Signal Process. 1992; 40:1633–1642; IEEE Trans. Signal Process. 1997; 45:631–639) within a range of statistical environments. For a non-stationary input, the proposed algorithm behaves similar to these algorithms. A modified version of the algorithm is presented to perform in the presence of abrupt changes. Copyright © 2004 John Wiley & Sons, Ltd.