Abstract

The convergence performance of the conventional diffusion affine projection algorithm (DAPA) will be affected in impulsive noise environment. To overcome this shortcoming, in this paper, a diffusion affine projection maximum correntropy criterion (DAPMCC) algorithm is derived by using the maximum correntropy criterion in the diffusion network. The convergence of the DAPMCC algorithm in the mean and mean-square sense is studied, providing a constrained range for the step-size. Meanwhile, the theoretical steady-state mean square analysis of the proposed algorithm shows that the steady-state mean square deviation (MSD) is determined by parameters such as step-size and projection order. Simulation results demonstrate that the DAPMCC algorithm shows desirable estimation performance under impulsive interference environment, and the theoretical steady-state analysis is able to provide an accurate prediction.

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