Title :
Analysis of LMS and NLMS algorithms with delayed coefficient update under the presence of spherically invariant processes
Author :
Rupp, Markus ; Frenzel, Rudi
Author_Institution :
Inst. fur Netzwerk- und Signaltheorie, Darmstadt, Germany
fDate :
3/1/1994 12:00:00 AM
Abstract :
Certain conditions require a delay in the coefficient update of the least mean square (LMS) and normalized least mean square (NLMS) algorithms. This paper presents an in-depth analysis of these modificated versions for the important case of spherically invariant random processes (SIRPs), which are known as an excellent model for speech signals. Some derived bounds and the predicted dynamic behavior of the algorithms are found to correspond very well to simulation results and a real time implementation on a fixed-point signal processor. A modification of the algorithm is proposed to assure the well known properties of the LMS and NLMS algorithms
Keywords :
filtering and prediction theory; least squares approximations; random processes; signal processing; speech analysis and processing; LMS algorithm; NLMS algorithm; adaptive filtering; delayed coefficient update; dynamic behavior; fixed-point signal processor; least mean square; normalized least mean square; real time implementation; simulation results; speech signals; spherically invariant random processes; Algorithm design and analysis; Delay; Least squares approximation; Predictive models; Random processes; Signal analysis; Signal processing; Signal processing algorithms; Speech analysis; Speech processing;
Journal_Title :
Signal Processing, IEEE Transactions on
