@conference{10902/36359, year = {2024}, url = {https://hdl.handle.net/10902/36359}, abstract = {Motivated by passive source localization, we derive a generalized likelihood ratio for detecting a Gaussian signal common to two passive sensor arrays, measured in white Gaussian noises of unknown variances. The resulting detector is compared with a related detector that makes no such Gaussian signal assumption. These two detectors are called, respectively, second-order and first-order detectors. In the case where each passive sensor employs a known beamformer, performance is nearly identical. But for more general channel or beamformer models where the received signal is assumed only to lie in a low-dimensional subspace, the second-order detector can outperform the first-order detector.}, organization = {The work of D. Ramirez 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. 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.}, publisher = {Institute of Electrical and Electronics Engineers Inc.}, publisher = {Fifty-Eighth Asilomar Conference on Signals, Systems & Computers, Pacific Grove, California, 2024, 213-217}, title = {Passive detection with a multi-rank beamformer of a random signal common to two sensors}, author = {Ramírez García, David and Santamaría Caballero, Luis Ignacio and Scharf, Louis L.}, }