Towards analytical convergence analysis of proportionate-type nlms algorithms

To date no theoretical results have been developed to predict the performance of the proportionate normalized least mean square (PNLMS) algorithm or any of its cousin algorithms such as the mu-law PNLMS (MPNLMS), and the e-law PNLMS (EPNLMS). In this paper we develop an analytic approach to predicti...

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Bibliographic Details
Published in2008 IEEE International Conference on Acoustics, Speech and Signal Processing pp. 3825 - 3828
Main Authors Wagner, K.T., Doroslovacki, M.I.
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.03.2008
Subjects
Adaptive algorithm
Adaptive filtering
Adaptive filters
Algorithm design and analysis
Convergence
Filtering algorithms
Laboratories
Noise measurement
Performance analysis
proportionate-type normalized least mean square (PtNLMS) algorithm
Radar theory
Recursive estimation
sparse impulse response
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Summary:To date no theoretical results have been developed to predict the performance of the proportionate normalized least mean square (PNLMS) algorithm or any of its cousin algorithms such as the mu-law PNLMS (MPNLMS), and the e-law PNLMS (EPNLMS). In this paper we develop an analytic approach to predicting the performance of the simplified PNLMS algorithm which is closely related to the PNLMS algorithm. In particular we demonstrate the ability to predict the mean square output error of the simplified PNLMS algorithm using our theory.
ISBN:9781424414833
1424414830
ISSN:1520-6149
2379-190X
DOI:10.1109/ICASSP.2008.4518487