Multikernel optimized beam forming using sparse representation for non-uniform linear array

Document Type : Research Paper


Department of Electronics and Communication Engg, Sapthagiri College of Engineering(Affiliated to Visvesvaraya Technological University, Belagavi) Bengaluru, India


Recent developments in Basis pursuit solver algorithm have led to better beam forming techniques. Sparse representation of signal helps in better signal analysis. This paper examines how to compute the direction of arrival of non-uniform linear array using sparse computation. A comparison between traditional techniques and sparse representation to estimate the direction of arrival is also studied. A novel method is proposed based on basis pursuit denoising multichannel implementation (BPDN) to estimate the Direction of arrival. Simulation results are verified with the formulation developed for direction of arrival.


[1] J. Lin, X. Ma, S. Yan and C Hao, Time-frequency multi-invariance ESPRIT for DOA estimation, IEEE Anten.
Wireless Propag. Lett. 15 (2015), 770–773.
[2] C. Ashok and N. Venkateswaran, Support vector regression based DOA estimation in heavy tailed noise environment, Int. Conf. Wireless Commun. Signal Process. Network. (WiSPNET), Chennai, India, IEEE, 2016, pp.
[3] J. Pan, C. Zhou, B. Liu and K. Jiang Joint DOA and Doppler frequency estimation for coprime arrays and
samplers based on continuous compressed sensing, CIE Int. Conf. Radar (RADAR), Yangzhou, Jiangsu Province,
China, IEEE, 2016, pp. 1–5.
[4] M.A. Hannan, N. Anselmi, G. Oliveri and P. Rocca, Joint DoA and bandwidth estimation of unknown signals
through single snapshot data and MT-BCS approach, Int. Symp. Anten. Propag. USNC/URSI Nat. Radio Sci.
Meet., San Diego, CA, USA, IEEE, 2017, pp. 2389–2390
[5] J. Shi, Q. Zhang and Y. Wang, Wideband DOA estimation based on A-shaped array, Int. Conf. Signal Process.
Commun. Comput. (ICSPCC), Xiamen, China, IEEE, 2018, pp. 1–5.
[6] T. Fan, H. Jiang and J. Sun, Ambiguity function-based ESPRIT-rootmusic algorithm for DOD-DOA estimation
in MIMO radar, Int. Conf. Radar Syst. (Radar), Belfast, IET, 2018, pp. 1–4
[7] G. Ning, B. Wang, C. Zhou and Y. Feng, A velocity independent MUSIC algorithm for DOA estimation, Int.
Conf. Signal Process. Commun. Comput.(ICSPCC), Xiamen, China, IEEE, 2017, pp. 1-4.
[8] H. Zhao, M. Cai and H. Liu, Two-dimensional DOA Estimation with reduced dimension MUSIC algorithm, Int.
Appl. Comput. Electromag. Soc. Symp. (ACES), Suzhou, China, IEEE, 2017, pp. 1–2.
[9] B.Vikas and D. Vakula, Performance comparision of MUSIC and ESPRIT algorithms in presence of coherent
signals for DoA estimation, Int. Conf. Electron. Commun. Aerospace Technol. (ICECA), Coimbatore, India,
IEEE, 2017, pp. 403–405.
[10] W. Shi, C. He, J. Huang and Q. Zhang, Fast MUSIC algorithm for joint DOD-DOA estimation based on Gibbs
sampling in MIMO array, Int. Conf. Signal Process. Commun. Comput. (ICSPCC), Hong Kong, China, IEEE,
2016, pp. 1–4.
[11] Y. Chen, F. Wang, J. Wan and K. Xu, DOA estimation for long-distance underwater acoustic sources based on
signal self-nulling, 2nd Adv. Inf. Technol. Electron. Autom. Control Conf. (IAEAC), Chongqing, China, IEEE,
2017, pp. 563–567
[12] X. Lan, W. Liu and H.Y.T. Ngan, Joint 4-D DOA and polarization estimation based on linear tripole arrays, Int.
Conf. Digital Signal Process. (DSP), London, UK, IEEE, 2017, pp. 1–5
[13] A.-T. Nguyen, T. Matsubara and T. Kurokawa, High-performance DOA estimation for coprime arrays with
unknown number of sources, Asia-Pacific Int. Symp. Electromag. Compat. (APEMC) , Seoul, Korea (South),
IEEE, 2017, pp. 369–371.
[14] X.L. Tran, J. Vesel´y, F. Dvoňár´ak and T.B. Le, SSubarray incoherency compensation for DOA estimation of 8-
element antenna array, Int. Conf. Military Technol. (ICMT), Brno, Czech Republic, IEEE, 2017, pp. 662–665.[15] Q. Wang, Z. Zhao and Z. Chen, Fast compressive sensing DOA estimation via ADMM solver, Int. Conf. Inf.
Autom. (ICIA), Macao, China, IEEE, 2017, pp. 53–57.
[16] A. Faye, J.D. Ndaw and A.S. Maiga, Two-dimensional DOA estimation based on a single uniform linear array,
25th Telecommun. Forum (TELFOR), Belgrade, Serbia, IEEE, 2017, pp. 1–4.
[17] L. Xiaozhi, S. Muye and Y. Yinghua, An effective doa estimation method of coherent signals based on reconstruct
weighted noise subspace, 29th Chinese Control Decision Conf. (CCDC), Chongqing, China, IEEE, 2017, pp.
[18] H. Kim, J. Kim, K.H. Lee and K.S. Kim, DOA estimation in cyclic prefix OFDM systems in LOS mmWave
channel using monopulse ratio, Int. Conf. Inf. Commun. Technol. Convergence (ICTC), Jeju, Korea (South),
IEEE, 2018, pp. 342–345.
[19] Y. Nakajima, N. Kikuma and K. Sakakibara, Reduction effect of snapshots in DOA estimation using radio holography by SAGE algorithm, Int. Workshop Electromagnetics: Appl. Student Innov. Compet., Nagoya, Japan, IEEE,
2018, pp. 1–1.
[20] X. Zhang, Y. Li, Y. Yuan, T. Jiang and Y. Yuan, Low-complexity DOA estimation via OMP and majorizationminimization, Asia-Pacific Conf. Antennas and Propagation (APCAP), Auckland, New Zealand, IEEE, 2018, pp.
[21] F. An, H. Nosrati, E. Aboutanios and A. Hassanien, Single-snapshot DOA estimation in MIMO radar using fast
iterative interpolated beamforming, 52nd Asilomar Conf. Signals, Syst. Comput. Pacific Grove, CA, USA, IEEE,
2018, pp. 924–928.
[22] J.J. Carabias-Orti1, P. Cabanas-Molero, P. Vera-Candeas and J. Nikunen, Multi-source localization using a doa
kernel based spatial covariance model and complex nonnegative matrix factorization, 10th Sensor Array and Multichannel Signal Process. Workshop (SAM), Sheffield, UK, IEEE, 2018, pp. 440–444.
[23] M. Groth and L. Kulas, Accurate PPCC-based doa estimation using multiple calibration planes for WSN nodes
equipped with ESPAR antennas, 15th Eur. Radar Conf. (EuRAD), Madrid, Spain, IEEE, 2018, 545—548.
[24] S. Choi, B. Kim, J. Kim, D. Kim and H. Cho, Doppler coherent focusing DOA method for efficient radar map
generation, MTT-S Int. Conf. Microwaves Intell. Mobil.(ICMIM), Detroit, MI, USA, IEEE, 2019, pp.1–4.
[25] Y. Yao, T. N. Guo, Z. Chen and C. Fu, A fast multi-source sound DOA estimator considering colored noise in
circular array, IEEE Sensors J. 19 (2019), 6914–6926.
[26] N. Hu, B. Sun, J. Wang, J. Dai and C. Chang, Source localization for sparse array using nonnegative sparse
Bayesian learning, Signal Process. 127 (2016), 37–43.
[27] X. He and T. Liu, Sparse matrix reconstruction based on sequential sparse recovery for multiple measurement
mectors, 6th Int. Conf. Comput. Commun. Syst., Chengdu, China, IEEE, 2021, pp. 480–483.
[28] H. Zhang, Y. Pang, S. Liang and Y. Hao, Iterative deblending of off-the-grid simultaneous source data, IEEE
Access 9 (2021), 4923–4938.
Volume 13, Issue 2
July 2022
Pages 1803-1810
  • Receive Date: 16 September 2021
  • Revise Date: 07 October 2021
  • Accept Date: 16 December 2021