A Hole-free Shifted Coprime Array for DOA Estimation

• Autorzy: Salman Fatimah Abdulnabi , Sabbar Bayan Mahdi

Identyfikatory

DOI

10.26636/jtit.2025.1.1959

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

coprime array; difference co-array; direction of arrivalestimation; hole-free array

• Wydawca: Instytut Łączności - Państwowy Instytut Badawczy
• Czasopismo: Journal of Telecommunications and Information Technology
• Rocznik: 2025
• Tom: nr 1
• Strony: 38--46
• Opis fizyczny: Bibliogr. 27 poz., rys., wykr.

Twórcy

autor

Salman Fatimah Abdulnabi

• Al-Nahrain University, Baghdad, Iraq

• https://orcid.org/0000-0001-8875-9844

autor

Sabbar Bayan Mahdi

• Al-Mustaqbal University, Baghdad, Iraq

• https://orcid.org/0000-0003-0541-2410

Bibliografia

• [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(https://doi.org/10.1109/79.526899).
• [2] Z. Weng and P.M. Djuric, “A Search-free DOA Estimation Algorithmfor Coprime Arrays”,Digital Signal Processing, vol.24, pp.27–33,2014 (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 (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.
• [5] R. Schmidt, “Multiple Emitter Location and Signal Parameter Estimation”,IEEE Transaction Antenna Propagation, vol.34, no.3, pp.276–280, 1986 (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(https://doi.org/10.1109/29.32276).
• [7] W. Baxter and E. Aboutanios, “Fast Direction of Arrival Estimationin Coprime Arrays”,International Conference on Radar (RADAR),Brisbane, Australia,2018(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(https://doi.org/10.1109/ACSSC.2015.7421152).
• [9] X. Wang, Z. Chen, S. Ren, and S. Cao, “DOA Estimation Based onthe Difference and Sum Co-array for Coprime Arrays”,Digital Signal Processing, vol.69, pp.22–31,2017(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 (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 (https://doi.org/10.1109/TSP.2010.2049264).
• [12] P.P. Vaidyanathan and P. Pal, “Sparse Sensing with Co-prime Samplersand Arrays”,IEEE Transactions on Signal Processing, vol.59, no.2,pp.573–586,2011(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(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(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 (EUSIP-CO), Kos, Greece,2017(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 (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(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(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).
• [20] F.A. Salman and B.M. Sabbar, “Initial Phase Effect on Direction Find-ing Using Coprime Array”,International Middle Eastern Simulationand Modelling Conference, Baghdad, Iraq, 2022.
• [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(https://doi.org/10.1109/18.212309).
• [22] J.H. McClellan, “Multidimensional Spectral Estimation”,Proceedingsof the IEEE, vol.70, no.9, pp.1029–1039,1982(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(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 – part1: Fundamentals”,IEEETransactions on Signal Processing, vol.64, no.15, pp.3997–4012,2016 (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(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(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(https://doi.org/10.26636/jtit.2024.1.1350).