Energy Detection Limits under Log-Normal Approximated Noise Uncertainty

Abstract : We revisit, in this letter, the impact of noise uncertainty on the performance of the well known energy detector. Mainly, we reconsider the case of a Log-Normal approximated noise uncertainty suggested in the work of Alexander Sonnenschein and Philip M. Fishman. We show that under a Log-Normal noise uncertainty, we can avoid a worst case analysis of the detector's performances. Thus we show that, relying on mild approximations, we can design a detector with a fixed probability of false alarm function of the uncertainty, and present a new expression of the SNR-wall that depends on the desired performances of the detector as well as the introduced uncertainty parameter.
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Submitted on : Tuesday, July 12, 2011 - 1:32:45 PM
Last modification on : Friday, November 16, 2018 - 1:28:21 AM

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Wassim Jouini. Energy Detection Limits under Log-Normal Approximated Noise Uncertainty. IEEE Signal Processing Letters, Institute of Electrical and Electronics Engineers, 2011, 18 (7), pp.423-426. ⟨10.1109/LSP.2011.2155649⟩. ⟨hal-00608186⟩

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