Journal of Radio Electronics. eISSN 1684-1719. 2024. ¹2

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DOI: https://doi.org/10.30898/1684-1719.2024.2.11

 

 

An approach for constructing a two-element antenna array

based on the Cramer-Rao lower bound

for DIRECTION-OF-ARRIVAL estimatiON of radio signals

with super-resolution and increased accuracy

 

I.W. Peshkov

 

Bunin Yelets State University

399770, Russia, Yelets, Kommunarov st., 28

 

The paper was received December 25, 2023.

 

Abstract. In the paper an effective method for optimal placement of directional antenna elements for digital spatial signal estimation is discussed. The digital antenna array evaluates spatial coordinates with the subsequent beamforming. However, as it is well known, the relative position of antenna elements, their number and the shape of the radiation pattern have a significant impact on the quality of the spatial pseudospectrum. The paper uses the previously obtained expression for estimating the Cramer-Rao lower bound to reduce the number of antenna elements without losing the accuracy of direction-of-arrival estimation of the signals. For example, a two-element array is obtained. The elements have a flat-top radiation pattern. It is shown that the accuracy of the MUSIC method in the obtained array is higher or comparable to the array composed of three elements.

Key words: digital antenna array, direction-of-arrival estimation, MUSIC, Cramer-Rao lower bound, optimization.

Financing: The study was funded by Russian Science Foundation according to the research project No. 23-21-00125, https://rscf.ru/project/23-21-00125/.

Corresponding author: Peshkov Ilia Wladimirovich, ilvpeshkov@gmail.com

 

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For citation:

Peshkov I.W. An approach for constructing a two-element antenna array based on the Cramer-Rao lower bound for direction-of-arrival estimation of radio signals with super-resolution and increased accuracy. // Journal of Radio Electronics. – 2024. – ¹. 2. https://doi.org/10.30898/1684-1719.2024.2.11 (In Russian)