@conference{10902/31753, year = {2023}, url = {https://hdl.handle.net/10902/31753}, abstract = {This paper addresses the passive detection of a common signal in two multi-sensor arrays. For this problem, we derive a detector based on likelihood theory for the case of one-antenna transmitters, independent Gaussian noises with arbitrary spatial structure, Gaussian signals, and known channel subspaces. The detector uses a likelihood ratio where all but one of the unknown parameters are replaced by their maximum likelihood (ML) estimates. The ML estimation of the remaining parameter requires a numerical search, and it is therefore estimated using a sample-based estimator. The performance of the proposed detector is illustrated by means of Monte Carlo simulations and compared with that of the detector for unknown channels, showing the advantage of this knowledge.}, organization = {The work of D. Ramírez was partially supported by MCIN/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 Comunidad de Madrid under grant IntCARE-CM. The work of I. Santamaría was partly supported under grant PID2019-104958RB-C43 (ADELE) 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 = {IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Rhodes Island, Greece, 2023, 12486-12490}, title = {Passive detection of rank-one Gaussian signals for known channel subspaces and arbitrary noise}, author = {Ramírez García, David and Santamaría Caballero, Luis Ignacio and Scharf, Louis L.}, }