# Impact of Covariance Mismatched Training Samples on Constant False Alarm Rate Detectors

Besson, Olivier Impact of Covariance Mismatched Training Samples on Constant False Alarm Rate Detectors. (2021) IEEE Transactions on Signal Processing, 69. 755-765. ISSN 1053-587X

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Official URL: https://doi.org/10.1109/TSP.2021.3050567

## Abstract

The framework of this paper is that of adaptive detection in Gaussian noise with unknown covariance matrix when the training samples do not share the same covariance matrix as the vector under test. We consider a class of constant false alarm rate detectors which depend on two statistics $(\beta,\tilde{t})$ whose distribution is parameter-free in the case of no mismatch and we analyze the impact of covariance mismatched training samples. More precisely, we provide a statistical representation of these two variables for an arbitrary mismatch. We show that covariance mismatch induces significant variations of the probability of false alarm and we investigate a way to mitigate this effect.

Item Type: Article Thanks to the IEEE (Institute of Electrical and Electronics Engineers). This paper is available at : https://ieeexplore.ieee.org/document/9319560 “© 2021 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. hal-03155122 International peer-reviewed journal Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE) download 01 Mar 2021 14:25

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