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Partial diffusion scheme is an effective method for reducing computationalload and power consumption in adaptive network implementation. The Informationis exchanged among the nodes, usually over noisy links. In this paper, weconsider a general version of partial-diffusion least-mean-square (PDLMS)algorithm in the presence of various sources of imperfect informationexchanges. Like the established PDLMS, we consider two different schemes toselect the entries, sequential and stochastic, for transmission at eachiteration. Our objective is to analyze the aggregate effect of theseperturbations on general PDLMS strategies. Simulation results demonstrate thatconsidering noisy link assumption adds a new complexity to the relatedoptimization problem and the trade-off between communication cost andestimation performance in comparison to ideal case becomes unbalanced.

Partial-Diffusion Least Mean-Square Estimation Over Networks Under Noisy Information Exchange