A Hole-free Shifted Coprime Array for DOA Estimation

Authors

DOI:

https://doi.org/10.26636/jtit.2025.1.1959

Keywords:

coprime array, difference co-array, direction of arrival estimation, hole-free array

Abstract

Coprime arrays have recently become a popular trend in estimating the direction of arrival in array signal processing, as they increase the degree of freedom (DOF). Coprime arrays utilize a couple of uniform linear subarrays to create a difference co-array with specific preferable features. In this paper, three proposed structures are considered that depend on the shifting of one of the two uniform linear arrays. The proposed configurations reveal a sequence of lags obtained by filling the holes of the co-array, which span the aperture array. The displacement value depends on the value of the pair of data in the array. The resulting virtual array achieved by means of the proposed methods may generate DOFs MN + 1, MN + N + 1, and MN + 2N - 2, respectively. The performance of the proposed configurations is evaluated by experimental simulations aiming to demonstrate the effectiveness of the array's design.

Downloads

Download data is not yet available.

References

[1] H. Krim and M. Viberg, "Two Decades of Array Signal Processing Research: The Parametric Approach", IEEE Signal Processing Magazine, vol. 13, no. 4, pp. 67-64, 1996.
View in Google Scholar DOI: https://doi.org/10.1109/79.526899

[2] Z. Weng and P.M. Djuric, "A Search-free DOA Estimation Algorithm for Coprime Arrays", Digital Signal Processing, vol. 24, pp. 27-33, 2014.
View in Google Scholar DOI: https://doi.org/10.1016/j.dsp.2013.10.005

[3] F.A. Salman and B.M. Sabbar, "DOA Estimation Exploiting Moving Platform of Unfolded Coprime Array", International Journal of Intelligent Engineering and Systems, vol. 15, no. 2, pp. 532-542, 2022.
View in Google Scholar DOI: https://doi.org/10.22266/ijies2022.0430.47

[4] F.A. Salman and B.M. Sabbar, "Estimation of Coherent Signal on Modified Coprime Array", 16th International Middle Eastern Simulation and Modelling Conference, 2020.
View in Google Scholar

[5] R. Schmidt, "Multiple Emitter Location and Signal Parameter Estimation", IEEE Transaction Antenna Propagation, vol. 34, no. 3, pp. 276-280, 1986.
View in Google Scholar DOI: https://doi.org/10.1109/TAP.1986.1143830

[6] R. Roy and T. Kailath, "ESPRIT - Estimation of Signal Parameters via Rotational Invariance Technique", IEEE Transactions Acoustics, Speech, and Signal Processing, vol. 37, no. 7, pp. 984-995, 1989.
View in Google Scholar DOI: https://doi.org/10.1109/29.32276

[7] W. Baxter and E. Aboutanios, "Fast Direction of Arrival Estimation in Coprime Arrays", International Conference on Radar (RADAR), Brisbane, Australia, 2018.
View in Google Scholar DOI: https://doi.org/10.1109/RADAR.2018.8557304

[8] X. Wang, X. Wang, and X. Lin, "Co-prime Array Processing with Sum and Difference Co-array", 49th Asilomar Conference on Signals, Systems and Computers, Pacific Grove, USA, 2015.
View in Google Scholar DOI: https://doi.org/10.1109/ACSSC.2015.7421152

[9] X. Wang, Z. Chen, S. Ren, and S. Cao, "DOA Estimation Based on the Difference and Sum Co-array for Coprime Arrays", Digital Signal Processing, vol. 69, pp. 22-31, 2017.
View in Google Scholar DOI: https://doi.org/10.1016/j.dsp.2017.06.013

[10] A.T. Moffet, "Minimum-redundancy Linear Arrays", IEEE Transactions on Antennas and Propagation, vol. 16, no. 2, pp. 172-175, 1968.
View in Google Scholar DOI: https://doi.org/10.1109/TAP.1968.1139138

[11] P. Pal and P.P. Vaidyanathan, "Nested Arrays: A Novel Approach to Array Processing with Enhanced Degrees of Freedom", IEEE Transactions on Signal Processing, vol. 58, no. 8, pp. 4167-4181, 2010.
View in Google Scholar DOI: https://doi.org/10.1109/TSP.2010.2049264

[12] P.P. Vaidyanathan and P. Pal, "Sparse Sensing with Co-prime Samplers and Arrays", IEEE Transactions on Signal Processing, vol. 59, no. 2, pp. 573-586, 2011.
View in Google Scholar DOI: https://doi.org/10.1109/TSP.2010.2089682

[13] P. Pal and P.P. Vaidyanathan, "Coprime Sampling and the Music Algorithm", Digital Signal Processing and Signal Processing Education Meeting (DSP/SPE), Sedona, USA, 2011.
View in Google Scholar DOI: https://doi.org/10.1109/DSP-SPE.2011.5739227

[14] S. Qin, Y.D. Zhang, and M.D. Amin, "Generalized Coprime Array Configuration for Direction of Arrival Estimation", IEEE Transactions on Signal Processing, vol. 63, no. 6, pp. 1377-1390, 2015.
View in Google Scholar DOI: https://doi.org/10.1109/TSP.2015.2393838

[15] A. Raza, W. Liu, and Q. Shen, "Thinned Coprime Arrays for DOA Estimation", 25th European Signal Processing Conference (EUSIPCO), Kos, Greece, 2017.
View in Google Scholar DOI: https://doi.org/10.23919/EUSIPCO.2017.8081236

[16] X. Wang and X. Wang, "Hole Identification and Filling in K-times Extended Co-prime Arrays for Highly-efficient DOA Estimation", IEEE Transactions on Signal Processing, vol. 67, no. 10, pp. 2693-2706, 2019.
View in Google Scholar DOI: https://doi.org/10.1109/TSP.2019.2899292

[17] K. Shabir, T.H. Al Mahmud, R. Zheng, and Z. Ye, "Generalized Super-resolution DOA Estimation Array Configurations’ Design Exploiting Sparsity in Coprime Arrays", Circuits Systems and Signal Processing, vol. 38, pp. 4723-4738, 2019.
View in Google Scholar DOI: https://doi.org/10.1007/s00034-019-01078-1

[18] P. Ma, J. Li, F. Xu, and X. Zhang, "Hole-free Coprime Array for DOA Estimation: Augmented Uniform Co-array", IEEE Signal Processing Letters, vol. 28, pp. 36-40, 2021.
View in Google Scholar DOI: https://doi.org/10.1109/LSP.2020.3044019

[19] F.A. Salman and B.M. Sabbar, "Semi-symmetrical Coprime Linear Array with Reduced Mutual Coupling Effect and High Degrees of Freedom", International Journal of Computing and Digital Systems, vol. 15, no. 1, pp. 1483-1495, 2024 (https://iiict.uob.edu.bh/IJCDS/papers/IJCDS1501105_1570871127.pdf).
View in Google Scholar DOI: https://doi.org/10.12785/ijcds/1501105

[20] F.A. Salman and B.M. Sabbar, "Initial Phase Effect on Direction Finding Using Coprime Array", International Middle Eastern Simulation and Modelling Conference, Baghdad, Iraq, 2022.
View in Google Scholar

[21] D.A. Linebarger, I.H. Sudborough, and I.G. Tollis, "Difference Bases and Sparse Sensor Arrays", IEEE Transactions on Information Theory, vol. 29, no. 2, pp. 716-721, 1993.
View in Google Scholar DOI: https://doi.org/10.1109/18.212309

[22] J.H. McClellan, "Multidimensional Spectral Estimation", Proceedings of the IEEE, vol. 70, no. 9, pp. 1029-1039, 1982.
View in Google Scholar DOI: https://doi.org/10.1109/PROC.1982.12431

[23] S.W. Lang and J.H. McClellan, "Spectral Estimation for Sensor Arrays", IEEE Transactions on Acoustics, Speech, and Signal Processing, vol. 31, no. 2, pp. 349-358, 1983.
View in Google Scholar DOI: https://doi.org/10.1109/TASSP.1983.1164080

[24] C.-L. Liu and P.P. Vaidyanathan, "Super Nested Arrays: Linear Sparse Arrays with Reduced Mutual Coupling - part 1: Fundamentals", IEEE Transactions on Signal Processing, vol. 64, no. 15, pp. 3997-4012, 2016.
View in Google Scholar DOI: https://doi.org/10.1109/TSP.2016.2558159

[25] Y.D. Zhang, S. Qin, and M.G. Amin, "DOA Estimation Exploiting Coprime Arrays with a Sparse Sensor Spacing", IEEE International Conference on Acoustic, Speech, and Signal Processing, Florence, Italy, 2014.
View in Google Scholar DOI: https://doi.org/10.1109/ICASSP.2014.6854003

[26] G. Qin, M.G. Amin, and Y.D. Zhang, "DOA estimation exploiting sparse array motions", IEEE Transactions on Signal Processing, vol. 67, no. 11, pp. 3013-3027, 2019.
View in Google Scholar DOI: https://doi.org/10.1109/TSP.2019.2911261

[27] F.A. Salman and B.M. Sabbar, "Low-complexity DOA Estimation Method Based on Joined Coprime Array", Journal of Telecommunications and Information Technology, no. 1, pp. 11-16, 2024.
View in Google Scholar DOI: https://doi.org/10.26636/jtit.2024.1.1350

Downloads

Submitted

2024-12-01

Accepted

2024-12-31

Published

2025-03-31

Issue

Section

RESEARCH ARTICLES

How to Cite

[1]
F. A. Salman and B. M. Sabbar, “A Hole-free Shifted Coprime Array for DOA Estimation”, JTIT, vol. 99, no. 1, pp. 38–46, Mar. 2025, doi: 10.26636/jtit.2025.1.1959.