Performance analysis of incremental LMS over flat fading channels

Khalili, A., Rastegarnia, A. and Sanei, S. ORCID: 0000-0002-3437-2801, 2017. Performance analysis of incremental LMS over flat fading channels. IEEE Transactions on Control of Network Systems, 4 (3), pp. 489-498. ISSN 2325-5870

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Abstract

We study the effect of fading in the communication channels between sensor nodes on the performance of the incremental least mean square (ILMS) algorithm, and derive steady state performance metrics, including the mean-square deviation (MSD), excess mean-square error (EMSE) and mean-square error (MSE). We obtain conditions for mean convergence of the ILMS algorithm, and show that in the presence of fading channels, the ILMS algorithm is asymptotically biased. Furthermore, the dynamic range for mean stability depends only on the mean channel gain, and under simplifying technical assumptions, we show that the MSD, EMSE and MSE are non-decreasing functions of the channel gain variances, with mean-square convergence to the steady states possible only if the channel gain variances are limited. We derive sufficient conditions to ensure mean-square convergence, and verify our results through simulations.

Item Type: Journal article
Publication Title: IEEE Transactions on Control of Network Systems
Creators: Khalili, A., Rastegarnia, A. and Sanei, S.
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Date: September 2017
Volume: 4
Number: 3
ISSN: 2325-5870
Identifiers:
NumberType
10.1109/TCNS.2016.2516826DOI
Divisions: Schools > School of Science and Technology
Depositing User: Linda Sullivan
Date Added: 31 Jan 2018 12:10
Last Modified: 31 Jan 2018 12:10
URI: http://irep.ntu.ac.uk/id/eprint/32591

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