Optimal signal design for coherent detection of binary signals in Gaussian noise under power and secrecy constraints

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buir.contributor.authorGezici, Sinan
buir.contributor.orcidGezici, Sinan|0000-0002-6369-3081
dc.citation.epage6en_US
dc.citation.spage1
dc.citation.volumeNumber210
dc.contributor.authorDulek, B.
dc.contributor.authorGezici, Sinan
dc.date.accessioned2024-03-14T11:00:12Z
dc.date.available2024-03-14T11:00:12Z
dc.date.issued2023-04-13
dc.departmentDepartment of Electrical and Electronics Engineering
dc.description.abstractThe problem of optimal signal design for coherent detection of binary signals in Gaussian noise is revisited under power and secrecy constraints. In particular, the aim is to select the binary transmitted signals in an optimal manner so that the probability of error is minimized at an intended receiver while the probability of error at an eavesdropper is maintained above a threshold value and the signal powers are limited. It is shown that an optimal solution exists in the form of antipodal signaling along the eigenvector corresponding to the solution of a maximum (possibly generalized) eigenvalue problem, which is specified explicitly based on the channel coefficient matrices and the noise covariance matrices at the intended receiver and the eavesdropper. Furthermore, optimal signal design can be performed in an efficient manner by solving a semidefinite programming (SDP) relaxation followed by a matrix rank-one decomposition. Numerical examples are provided to illustrate optimal solutions for three different but exhaustive cases.
dc.description.provenanceMade available in DSpace on 2024-03-14T11:00:12Z (GMT). No. of bitstreams: 1 Optimal_signal_design_for_coherent_detection_of_binary_signals_in_Gaussian_noise_under_power_and_secrecy_constraints.pdf: 1286152 bytes, checksum: 3d5eef33df5bde47122caf7fb5ac7fbb (MD5) Previous issue date: 2023-04-13en
dc.embargo.release2025-04-13
dc.identifier.doi10.1016/j.sigpro.2023.109052
dc.identifier.eissn1872-7557
dc.identifier.issn0165-1684
dc.identifier.urihttps://hdl.handle.net/11693/114744
dc.language.isoen
dc.publisherElsevier
dc.relation.isversionofhttps://dx.doi.org/10.1016/j.sigpro.2023.109052
dc.rightsCC BY-NC-ND 4.0 DEED (Attribution-NonCommercial-NoDerivs 4.0 International)
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.source.titleSignal Processing
dc.subjectSecrecy
dc.subjectSignal design
dc.subjectHypothesis testing
dc.subjectProbability of error
dc.titleOptimal signal design for coherent detection of binary signals in Gaussian noise under power and secrecy constraints
dc.typeArticle

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