journal article Oct 24, 2019

Filter proportionate normalized least mean square algorithm for a sparse system

Abstract
SummaryIn this paper, the proportionate normalized least mean square (PNLMS) and its modifications, such as improved PNLMS (IPNLMS) and μ‐law PNLMS (MPNLMS) algorithms, developed for a sparse system, are analyzed for a compressed input signal. This analysis is based on a comparative study of the steady‐state error and convergence time for the original signal and the compressed signal. Further, in this paper, a filter PNLMS (FPNLMS) algorithm that is a modification of the IPNLMS algorithm is proposed. The FPNLMS algorithm uses a step size varying in time to adapt to the sparse system. Simulations are carried out to compare the proposed FPNLMS algorithm for different signal‐to‐noise ratio for a compressed input signal with existing algorithms, ie, PNLMS, MPNLMS, and IPNLMS algorithms. The FPNLMS algorithm achieves a better steady‐state and convergence time compared with other existing algorithms in both low and high SNRs. The FPNLMS algorithm is further simulated for a real transfer function to show its robustness compared with existing algorithms.
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References
Details
Published
Oct 24, 2019
Vol/Issue
33(11)
Pages
1695-1705
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Cite This Article
Rosalin, Nirmal Kumar Rout, Debi Prasad Das (2019). Filter proportionate normalized least mean square algorithm for a sparse system. International Journal of Adaptive Control and Signal Processing, 33(11), 1695-1705. https://doi.org/10.1002/acs.3058