Zhurnal Radioelektroniki - Journal of Radio Electronics. eISSN 1684-1719. 2021. No. 1
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DOI https://doi.org/10.30898/1684-1719.2021.1.3

UDC 621.391

 

Generalization of super-resolution minimal polynomial method for direction of arrival estimation under spatially colored noise and interference conditions

 

O. A. Shmonin

Lobachevsky State University of Nizhny Novgorod, Gagarin avenue str., 23, Nizhny Novgorod, 603950 Russia

 

The paper was received on December 21, 2020

 

Abstract. The article is dedicated to super-resolution and direction of arrival (DOA) estimation problems under spatially colored noise and interference conditions. Super-resolution minimal polynomial method (MPM) is considered. The base method uses a signal received by antenna array assuming that noise in each array element is independent and has certain power. It also supposes that there are only signals which directions of arrival need to be estimated. In other words, there is no interference. The practice shows that these assumptions may not be satisfied in real-world systems. Interference problem arises both in radar and radio communication applications. In a dense scattering environment (e.g. the urban) there is multipath propagation effect. It makes interference spatially-distributed and decreases DOA estimation algorithms resolution ability. In order to overcome these problems the generalized minimal polynomial method (GMPM) is developed and proposed in this paper. Two approaches for generalization are considered. The first is based on features of the signal subspace forming under spatially colored noise conditions. The second is relied on the signal transformation which leads to identity noise correlation matrix. Theoretical description is presented for both approaches. Furthermore, the approaches equivalence is proved. Efficiency of the proposed algorithm is investigated in comparison with base MPM. It is shown that in case of spatially-distributed interference the proposed method gives opportunity to achieve a sufficient gain in resolution ability and DOA estimation accuracy in comparison with the base MPM algorithm.

Key words: antenna array, super-resolution, bearing, direction of arrival estimation, spatially colored noise, interference.

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For citation:

Shmonin O.A. Generalization of super-resolution minimal polynomial method for direction of arrival estimation under spatially colored noise and interference conditions. Zhurnal Radioelektroniki [Journal of Radio Electronics]. 2021. No.1. https://doi.org/10.30898/1684-1719.2021.1.3 (In Russian)