@conference{10902/36353,
year = {2024},
url = {https://hdl.handle.net/10902/36353},
abstract = {This paper considers the passive detection of a signal common to two multi-sensor arrays. We consider Gaussian received signals and noises with positive-definite, but otherwise unstructured covariance matrices. Under the null hypothesis, the composite covariance matrix for the two arrays is block-diagonal with arbitrary positive definite (PD) blocks, whereas under the alternative, it is modeled as an unstructured covariance matrix. Assuming complex inverse-Wishart priors for the unknown covariance matrices, the proposed test relies on the marginalized likelihood ratio, where the unknown parameters (i.e., the covariance matrices) are integrated out. A proper choice of hyper-parameters of the prior distribution shows that the Bayesian-inspired test reduces to a regularized canonical correlation analysis (CCA) detector. Simulation results show the superior performance of the proposed method compared to the generalized likelihood ratio test (GLRT), which is given by a function of the canonical correlations.},
organization = {The work of D. Ramírez was partially supported by MICIU/AEI/10.13039/501100011033/FEDER, UE, under grant PID2021-123182OB-I00 (EPiCENTER), by the Office of Naval Research (ONR) Global under contract N62909-23-1-2002, and by the Spanish Ministry of Economic Affairs and Digital Transformation and the European Union-
NextGenerationEU through the UNICO 5G I+D SORUS project. The work of I. Santamaria was partly supported under grant PID2022-137099NBC43 (MADDIE) funded by MCIN/AEI/10.13039/501100011033/FEDER, UE.
The work of L. L. Scharf was supported by the Office of Naval Research (ONR) under contract N00014-21-1-2145 and the Air Force Office of Scientific Research (AFOSR) under contract FA9550-21-1-0169. J. Míguez acknowledges the support of MICIU/AEI/10.13039/501100011033/FEDER, UE, under grant PID2021-125159NB-I00 (TYCHE) and the Office of Naval Research under contract N00014-22-1-2647.},
publisher = {Institute  of Electrical and Electronics Engineers, Inc.},
publisher = {Fifty-Eighth Asilomar Conference on Signals, Systems & Computers, Pacific Grove, California, USA, 2024, 1486-1490},
title = {A Bayesian-inspired approach to passive radar detection},
author = {Ramírez García, David and Míguez, Joaquín and Santamaría Caballero, Luis Ignacio and Scharf, Louis L.},
}