Open Access   Article

Doa Estimation of Broad-Banded Linear and Quadratic Chirps Using Nested and Co-Prime Arrays

G. Sreekumar1 , Leena Mary2 , A. Unnikrishnan3

Section:Research Paper, Product Type: Journal Paper
Volume-6 , Issue-7 , Page no. 49-57, Jul-2018

CrossRef-DOI:   https://doi.org/10.26438/ijcse/v6i7.4957

Online published on Jul 31, 2018

Copyright © G. Sreekumar, Leena Mary, A. Unnikrishnan . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Citation

IEEE Style Citation: G. Sreekumar, Leena Mary, A. Unnikrishnan, “Doa Estimation of Broad-Banded Linear and Quadratic Chirps Using Nested and Co-Prime Arrays”, International Journal of Computer Sciences and Engineering, Vol.6, Issue.7, pp.49-57, 2018.

MLA Style Citation: G. Sreekumar, Leena Mary, A. Unnikrishnan "Doa Estimation of Broad-Banded Linear and Quadratic Chirps Using Nested and Co-Prime Arrays." International Journal of Computer Sciences and Engineering 6.7 (2018): 49-57.

APA Style Citation: G. Sreekumar, Leena Mary, A. Unnikrishnan, (2018). Doa Estimation of Broad-Banded Linear and Quadratic Chirps Using Nested and Co-Prime Arrays. International Journal of Computer Sciences and Engineering, 6(7), 49-57.

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Abstract

Detection and localization of active and passive targets using sensor arrays play an important role in the field of array signal processing. In this paper the problem of estimating the direction of arrivals of broad banded linear and quadratic chirp sources using both nested and co-prime arrays is addressed. Traditional uniform arrays can only detect N-1 number of sources with N physical sensors using high resolution beam formers like MUSIC. However the nested and co-prime arrays can detect more number of sources than the number of sensors by exploiting the difference co-array structure based on the correlation of the observations. Difference co-array is the distinct sensor locations obtained by taking all possible pairwise differences of sensor locations in the original array. As the chirp signal, commonly used in both radar and sonar systems is better processed in the fractional Fourier domain, the detection is done using fractional Fourier transform (FrFT). But as the traditional FrFT is limited to the analysis of linear chirps, detection using modified FrFT is found to be the apt choice for quadratic chirps. Subsequently, the direction of arrival estimation is achieved using subspace methods which include MUSIC and minimum-norm in the proposed work. The effectiveness of the algorithm is validated through different signals including real data obtained from a practical sonar array. It is seen from the computer simulations that nested-MUSIC combination has better resolution and accuracy than all other combinations.

Key-Words / Index Term

Direction of arrival estimation, Fractional Fourier transform, Chirp sources, Nested array, Coprime array

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