Cramér-Rao Bound of Direction Finding Using a Uniform Hexagonal Array

Main Article Content

Grace Wakarima Ndiritu
Dominic Makaa Kitavi
Cyrus Gitonga Ngari

Abstract

Direction-of-arrival (DOA) estimation is a key area of sensor array processing which is encountered  in many important engineering applications. Although various studies have focused on the uniform hexagonal array for direction finding, there is a scanty use of the uniform hexagonal array in conjunction with Cramer-Rao bound for direction finding estimation. The advantage of Cramér- Rao bound based on the uniform hexagonal array: overcome the problem of unwanted radiation in undesired directions. In this paper, the direction-of-arrival estimation of Cramér-Rao bound based on the uniform hexagonal array was studied. The proposed approach concentrated on deriving the array manifold vector for the uniform hexagonal array and Cramer-Rao bound of the uniform hexagonal array. The Cramér-Rao bound based on the uniform hexagonal array was compared with Cramer-Rao bound based on the uniform circular array. The conclusions are as follows. The Cramer-Rao bound of uniform hexagonal array decreases with an increase in the number of sensors. The comparison between the uniform hexagonal array and uniform circular array shows that the Cramér-Rao bound of the uniform hexagonal array was slightly higher as compared to the Cramér-Rao bound of the uniform circular array. The analytical results are supported by graphical representation.

Keywords:
Direction-of-arrival estimation, Array manifold vector, Cramér-Rao bound, Uniform hexagonal array.

Article Details

How to Cite
Ndiritu, G., Kitavi, D., & Ngari, C. (2019). Cramér-Rao Bound of Direction Finding Using a Uniform Hexagonal Array. Journal of Advances in Mathematics and Computer Science, 32(6), 1-14. https://doi.org/10.9734/jamcs/2019/v32i630161
Section
Original Research Article

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