On error-saturation nonlinearities in NLMS adaptation
IEEE Transactions on Signal Processing
Maximum-likelihood array processing in non-Gaussian noise with Gaussian mixtures
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
On Error Saturation Nonlinearities for LMS Adaptation in Impulsive Noise
IEEE Transactions on Signal Processing
Detection of random signals in Gaussian mixture noise
IEEE Transactions on Information Theory - Part 2
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A recent paper [S. C. Chan and Y. X. Zou, "A Recursive Least M-Estimate Algorithm for Robust Adaptive Filtering in Impulsive Noise: Fast Algorithm and Convergence Performance Analysis," IEEE TRANSACTIONS ON SIGNAL PROCESSING, vol. 57, no. 1, Jaunary 2008] studied the behavior of a recursive least M-estimate (RLM) adaptive filtering algorithm in an additive impulsive noise environment. The mean and mean-square behavior of the algorithm was analyzed using a joint Gaussian assumption for the input and the error signal. This note points out that this assumption contradicts the probability model for the impulsive noise [contaminated Gaussian (CG) noise]. Hence, the analytic results presented in Chan and Zou are of limited interest.