{"title":"Detection of Signal-Like Interference Based on the Analysis of Eigenvalues of the Sample Correlation Matrix","authors":"O. E.Kudryashova, E. S. Fitasov","doi":"10.1007/s11141-025-10383-6","DOIUrl":null,"url":null,"abstract":"<p>We obtain an analytical expression for the decision statistics for detecting signal-like active interference based on an estimate of the eigenvalues of a sample correlation matrix. The exact decision statistic is derived from a rigorous expression for the likelihood ratio and obtained on the basis of the generalized likelihood ratio including that for short samples. Using the exact decision statistic, we obtain detection curves (the dependence of the probability of correct detection on the signal-to-noise ratio) for various process-sample lengths. Dependences of the probability of correct detection on the phase-fluctuation value are given and it is shown that signal-to-noise ratio for detecting the signal-like interference in the case of a given probability of correct detection significantly increases with decreasing phase fluctuations of the interference.</p>","PeriodicalId":748,"journal":{"name":"Radiophysics and Quantum Electronics","volume":"67 5","pages":"412 - 421"},"PeriodicalIF":0.7000,"publicationDate":"2025-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Radiophysics and Quantum Electronics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s11141-025-10383-6","RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
引用次数: 0
Abstract
We obtain an analytical expression for the decision statistics for detecting signal-like active interference based on an estimate of the eigenvalues of a sample correlation matrix. The exact decision statistic is derived from a rigorous expression for the likelihood ratio and obtained on the basis of the generalized likelihood ratio including that for short samples. Using the exact decision statistic, we obtain detection curves (the dependence of the probability of correct detection on the signal-to-noise ratio) for various process-sample lengths. Dependences of the probability of correct detection on the phase-fluctuation value are given and it is shown that signal-to-noise ratio for detecting the signal-like interference in the case of a given probability of correct detection significantly increases with decreasing phase fluctuations of the interference.
期刊介绍：
Radiophysics and Quantum Electronics contains the most recent and best Russian research on topics such as:
Radio astronomy;
Plasma astrophysics;
Ionospheric, atmospheric and oceanic physics;
Radiowave propagation;
Quantum radiophysics;
Pphysics of oscillations and waves;
Physics of plasmas;
Statistical radiophysics;
Electrodynamics;
Vacuum and plasma electronics;
Acoustics;
Solid-state electronics.
Radiophysics and Quantum Electronics is a translation of the Russian journal Izvestiya VUZ. Radiofizika, published by the Radiophysical Research Institute and N.I. Lobachevsky State University at Nizhnii Novgorod, Russia. The Russian volume-year is published in English beginning in April.
All articles are peer-reviewed.
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