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P. Huber, “A Robust Version of the Probability Ratio Test,” The Annals of Mathematical Statistics, Vol. 36, 1965, pp. 1753-1758. doi:10.1214/aoms/1177699803

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• TITLE: Parametrically Optimal, Robust and Tree-Search Detection of Sparse Signals

  AUTHORS: A. T. Burrell, P. Papantoni-Kazakos

  KEYWORDS: Sparse Signals; Detection; Robustness; Outlier Resistance; Tree Search

  JOURNAL NAME: Journal of Signal and Information Processing, Vol.4 No.3, August 21, 2013

  ABSTRACT: We consider sparse signals embedded in additive white noise. We study parametrically optimal as well as tree-search sub-optimal signal detection policies. As a special case, we consider a constant signal and Gaussian noise, with and without data outliers present. In the presence of outliers, we study outlier resistant robust detection techniques. We compare the studied policies in terms of error performance, complexity and resistance to outliers.