Abstract
In literature, distributed LMS algorithm for finite impulse response (FIR) systems has been studied as it is stable inherently. But infinite impulse response (IIR) systems are used in wireless sensor network (WSN) based application. Hence, adaptive IIR filter is assumed at each sensor node to estimate the parameters in the network. Diffusion mode of cooperation among the sensor nodes is incorporated. By doing this, the probability of trapping in local minima, which is the major drawback in IIR system, is reduced if each node is well connected to more number of neighbors. But the connectivity is reduced in sparse sensor network. Therefore, IIR multihop diffusion LMS (DLMS) algorithm is incorporated to the sparse sensor network. It is seen from the results of simulation that 2-hop DLMS provides best results by providing least steady-state mean square error and mean square deviation with minimum number of iterations. In order to minimize the communication overhead, block LMS is proposed.
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