Diffusion Least Mean Square Algorithm for Identification of IIR System Present in Each Node of a Wireless Sensor Networks

Most of the real-world practical systems are inherently dynamic and their characteristics are represented by transfer functions which are IIR in nature. In literature-distributed estimation, algorithms have been developed for stable FIR system. In this paper, a distributed estimation technique is developed for identification of IIR system present at each node of a wireless sensor network. The distributed parameter estimation generally based on two modes of cooperation strategies: Incremental and Diffusion. In case of change in network topology, the diffusion mode of cooperation works well and shows robustness to link and node failure. Thus, an infinite impulse response diffusion least mean square (IIR DLMS) algorithm is introduced. In simulation, its performance is compared with the incremental version (infinite impulse response incremental least mean square algorithm (IIR ILMS)). Superior performance by the proposed approach is reported for parameter estimation of two IIR systems under various noisy environments.