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In this paper we study the impact of network size on the performance ofincremental least mean square (ILMS) adaptive networks. Specifically, weconsider two ILMS networks with different number of nodes and compare theirperformance in two different cases including (i) ideal links and (ii) noisylinks. We show that when the links between nodes are ideal, increasing thenetwork size improves the steady-state error. On the other hand, in thepresence of noisy links, we see different behavior and the ILMS adaptivenetwork with more nodes necessarily has not better steady-state performance.Simulation results are also provided to illustrate the discussions.

Impact of network size on the performance of incremental LMS adaptive networks