An Experimental Study of the Angular Superresolution of Two Correlated Signals Using the Minimum-Polynomial Method

Ermolayev, V. T.; Flaksman, A. G.; Elokhin, A. V.; Shmonin, Oleg

doi:10.1007/s11141-019-09941-6

Cited by 8 publications

(16 citation statements)

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“…The parameters γ have the meaning of estimates of the quantities reciprocal of the eigenvalues of the exact correlation matrix M(γ q = 1/λ q ). In [10,12], several methods of their calculation, e.g., by solving the system of nonlinear equations of the following type, are proposed:…”

Section: The Minimum-poynomial Methodsmentioning

confidence: 99%

“…The minimum-polynomial method provides a statistically reasonable estimate of the number of signal sources. At the same time, the probability of correct estimation, especially in the case of correlated sources or a short time sample, is higher compared with that when using the AIC and MDL criteria [10][11][12][13].…”

Section: Introductionmentioning

confidence: 98%

“…The root variant of the minimum-polynomial method is proposed in [11]. The experimental results of determining the angular locations of the closely spaced radiation sources are presented in [12] for the minimum-polynomial method and the MUSIC algorithm. The simulation and experimental results show that the root approach has a better resolution and accuracy of estimating the angular coordinates compared with the pseudospectral approach [7,11,12].…”

Section: Introductionmentioning

confidence: 99%

“…The experimental results of determining the angular locations of the closely spaced radiation sources are presented in [12] for the minimum-polynomial method and the MUSIC algorithm. The simulation and experimental results show that the root approach has a better resolution and accuracy of estimating the angular coordinates compared with the pseudospectral approach [7,11,12]. In addition, for sufficiently small-size antenna arrays, the root approach allows one to estimate the angles analytically, which significantly simplifies its implementation and reduces the computational complexity [12].…”

Section: Introductionmentioning

confidence: 99%

“…The simulation and experimental results show that the root approach has a better resolution and accuracy of estimating the angular coordinates compared with the pseudospectral approach [7,11,12]. In addition, for sufficiently small-size antenna arrays, the root approach allows one to estimate the angles analytically, which significantly simplifies its implementation and reduces the computational complexity [12]. The disadvantages of the root method include the fact that in its classical form it is applicable only for linear equidistant antenna arrays.…”

Section: Introductionmentioning

confidence: 99%

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Angular Resolution of Closely Spaced Signal Sources Using a Two-Dimensional Antenna Array on the Basis of the Minimum-Polynomial Method

Ermolayev

Flaksman

Shmonin

2021

Radiophys Quantum El

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We consider the problem of estimating the angular coordinates of closely spaced signal sources using a rectangular antenna array with an arbitrary number of rows and columns. This problem is solved using the superresolution method of the minimum polynomial, which was previously proposed for the one-dimensional case of the angular resolution of signal sources. Two approaches to using this method are proposed, namely, the pseudospectral and the root techniques. The computational complexity is analyzed. A simpler alternative method for developing the resolution polynomial is also proposed in the special case of a two-row (two-column) antenna array for the root approach. The simulation results show the high efficiency of the angular resolution of the signal sources using the proposed methods.

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Section: The Minimum-poynomial Methodsmentioning

confidence: 99%