Two-Dimensional Direction of Arrival Estimation for Coprime Planar Arrays via Polynomial Root Finding Technique

In this paper, the problem of 2-D direction-of-arrival (2-D-DOA) estimation for coprime planar arrays is investigated, and a method based on the polynomial root finding technique with high accuracy and computational efficiency is proposed. In conventional methods, the whole coprime planar array is usually divided into two subarrays to individually estimate 2-D-DOA, and then the true 2-D-DOA can be distinguished from the ambiguous result utilizing the coprime property. Different from the conventional methods, the proposed method utilizes the signal space and noise space of all data to improve the estimation accuracy. In addition, the computational complexity is reduced by converting the 2-D spectral peak searching problem into double polynomial root finding problem. Furthermore, the matching error is eliminated in the scenario of multiple targets. Simulation results demonstrate that the proposed method achieves not only higher estimation accuracy but also lower computational complexity over conventional methods.

[1]  Z. Ye,et al.  DOA Estimation by Exploiting the Symmetric Configuration of Uniform Linear Array , 2007, IEEE Transactions on Antennas and Propagation.

[2]  J. Tabrikian,et al.  Target Detection and Localization Using MIMO Radars and Sonars , 2006, IEEE Transactions on Signal Processing.

[3]  Mats Viberg,et al.  ecades of Array Signal Processin Research , 2010 .

[4]  R. O. Schmidt,et al.  Multiple emitter location and signal Parameter estimation , 1986 .

[5]  Qihui Wu,et al.  Two-Dimensional Direction-of-Arrival Estimation for Co-Prime Planar Arrays: A Partial Spectral Search Approach , 2016, IEEE Sensors Journal.

[6]  Xiaofei Zhang,et al.  Sparsity-Based Two-Dimensional DOA Estimation for Coprime Array: From Sum–Difference Coarray Viewpoint , 2017, IEEE Transactions on Signal Processing.

[7]  Peng Lan,et al.  Partial spectral search-based DOA estimation method for co-prime linear arrays , 2015 .

[8]  Bin Liao,et al.  Direction Finding With Partly Calibrated Uniform Linear Arrays , 2012, IEEE Transactions on Antennas and Propagation.

[9]  Zheng Wang,et al.  Two-dimensional direction of arrival estimation for coprime planar arrays via a computationally efficient one-dimensional partial spectral search approach , 2017 .

[10]  Xiaofei Zhang,et al.  Generalized Coprime Planar Array Geometry for 2-D DOA Estimation , 2017, IEEE Communications Letters.

[11]  Ning Xiang,et al.  n-tuple coprime sensor arrays. , 2017, The Journal of the Acoustical Society of America.

[12]  Yimin Zhang,et al.  Doa estimation exploiting coprime arrays with sparse sensor spacing , 2014, 2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[13]  Defu Jiang,et al.  DOA estimation based on combined ESPRIT for co-prime array , 2016, 2016 IEEE 5th Asia-Pacific Conference on Antennas and Propagation (APCAP).

[14]  Xuemin Shen,et al.  DECOM: DOA estimation with combined MUSIC for coprime array , 2013, 2013 International Conference on Wireless Communications and Signal Processing.

[15]  Ning Xiang,et al.  Experimental validation of a coprime linear microphone array for high-resolution direction-of-arrival measurements. , 2015, The Journal of the Acoustical Society of America.

[16]  P. Vaidyanathan,et al.  Coprime sampling and the music algorithm , 2011, 2011 Digital Signal Processing and Signal Processing Education Meeting (DSP/SPE).

[17]  P. P. Vaidyanathan,et al.  Nested Arrays: A Novel Approach to Array Processing With Enhanced Degrees of Freedom , 2010, IEEE Transactions on Signal Processing.

[18]  P. P. Vaidyanathan,et al.  Super Nested Arrays: Linear Sparse Arrays With Reduced Mutual Coupling—Part I: Fundamentals , 2016, IEEE Transactions on Signal Processing.

[19]  Ning Xiang,et al.  Broadband implementation of coprime linear microphone arrays for direction of arrival estimation. , 2015, The Journal of the Acoustical Society of America.

[20]  Ali Gorcin,et al.  A Two-Antenna Single RF Front-End DOA Estimation System for Wireless Communications Signals , 2014, IEEE Transactions on Antennas and Propagation.

[21]  Jun Tang,et al.  Improved DOA estimation algorithm for co-prime linear arrays using root-MUSIC algorithm , 2017 .

[22]  P. P. Vaidyanathan,et al.  Sparse Sensing With Co-Prime Samplers and Arrays , 2011, IEEE Transactions on Signal Processing.

[23]  Petar M. Djuric,et al.  A search-free DOA estimation algorithm for coprime arrays , 2013, Digit. Signal Process..

[24]  P. P. Vaidyanathan,et al.  A novel array structure for directions-of-arrival estimation with increased degrees of freedom , 2010, 2010 IEEE International Conference on Acoustics, Speech and Signal Processing.

[25]  Elias Aboutanios,et al.  Interference DOA estimation and suppression for GNSS receivers using fully augmentable arrays , 2017 .

[26]  A. Moffet Minimum-redundancy linear arrays , 1968 .