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Distribution Functions of Eigenvalues of the Sample Correlation Matrix of an Antenna Array

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Radiophysics and Quantum Electronics Aims and scope

We obtain an analytical expression for the cumulative distribution functions of all eigenvalues of the sample correlation matrix of inherent noise in the antenna-array elements for the multidimensional case. We also find the formula for distribution of all noise eigenvalues of the sample correlation matrix of the antenna-array signals in the presence of inherent noise and an arbitrary number of high-power sources. In addition, we obtain an expression for the cumulative distribution functions of all noise eigenvalues of the sample correlation matrix of the antenna-array signals in the presence of an arbitrary number of high-power sources in the case of a short sample.

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Authors and Affiliations

  1. N. I. Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod, Russia

    O. E. Kudryashova & E. S. Fitasov

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  1. O. E. Kudryashova
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  2. E. S. Fitasov
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Correspondence to O. E. Kudryashova.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 65, No. 8, pp. 687–696, August 2022. Russian DOI: https://doi.org/10.52452/00213462_2022_65_08_687

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Kudryashova, O.E., Fitasov, E.S. Distribution Functions of Eigenvalues of the Sample Correlation Matrix of an Antenna Array. Radiophys Quantum El 65, 624–632 (2023). https://doi.org/10.1007/s11141-023-10243-1

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  • DOI: https://doi.org/10.1007/s11141-023-10243-1

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