# Random Distortion Testing and Applications

1 Lab-STICC_TB_CID_TOMS
Lab-STICC - Laboratoire des sciences et techniques de l'information, de la communication et de la connaissance
Abstract : We address Random Distortion Testing (rdt), that is, the problem of testing whether the Mahalanobis distance between a random signal $\Theta$ and a known deterministic model $\theta_0$ exceeds some given $\tau \geqslant 0$ or not, when $\Theta$ has unknown probability distribution and is observed in additive independent Gaussian noise with positive definite covariance matrix. A suitable optimality criterion for \rdt is presented and theoretical results on optimal tests for this criterion are given. Several applications of these results are presented and analyzed. They address the detection of signals in case of model mismatch and the detection of deviations from model $\theta_0$.
Document type :
Conference papers

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Submitted on : Wednesday, February 26, 2014 - 6:38:42 PM
Last modification on : Monday, October 11, 2021 - 2:23:35 PM

### Identifiers

• HAL Id : hal-00952452, version 1

### Citation

Dominique Pastor, Quang Thang Nguyen. Random Distortion Testing and Applications. ICASSP 2013 : IEEE International Conference on Acoustics, Speech and Signal Processing, May 2013, Vancouver, Canada. pp.6347 - 6351. ⟨hal-00952452⟩

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