Wang-han LYU, Hua-li WANG, Shan-xiang MU, et al. Joint frequency and DOA estimation using spatial-temporal co-prime sampling with off-grid sources[J]. Journal on Communications, 2017, 38(2): 125-131.
DOI:
Wang-han LYU, Hua-li WANG, Shan-xiang MU, et al. Joint frequency and DOA estimation using spatial-temporal co-prime sampling with off-grid sources[J]. Journal on Communications, 2017, 38(2): 125-131. DOI: 10.11959/j.issn.1000-436x.2017035.
Joint frequency and DOA estimation using spatial-temporal co-prime sampling with off-grid sources
direction-of-arrival)稀疏联合估计中存在的二维栅格失配问题,提出一种栅格失配目标下的频率和 DOA 联合估计方法。首先对入射信号做空时互质采样,建立虚拟满阵下的二维稀疏恢复模型,然后在以上模型中引入频率栅格失配误差项和角度栅格失配误差项进行二维修正,并给出一种改进的贪婪算法,通过对谱泄露变量联合求解来得到二维栅格失配误差项,最终将栅格失配目标校正到精确位置上。该方法不仅可以提高空频域上的自由度(DOF
degrees of freedom),而且在降低运算量的同时改善了频率和DOA联合估计的精度。仿真结果验证了方法的正确性。
Abstract
A method of joint frequency and direction of arrival (DOA) estimation using spatial-temporal co-prime sam-pling with off-grid sources was proposed to solve the problem of two-dimensional (2D) mismatches of signals.Firstly
the received signal was sampled by spatio-temporal co-prime sampling technique to construct 2D sparse reconstruction model with the filled coarray.Then the frequency mismatch term and angle mismatch term were incorporated into the re-ceived data model.Based on the above modified model
an improved greedy algorithm was presented to obtain the fre-quency mismatch and angle mismatch by estimating the spectrum leakage terms jointly.So the 2D off-grid sources can be corrected to accurate positions.The method can increase the degrees of freedom (DOF) in the space-frequency domain.Moreover
the method has reduced the amount of computation
and it can improve the frequency and DOA estimation accuracy in the meantime.Simulation results demonstrate the correctness and effectiveness of the proposed approach.
ZHANG H Q , SU W M , GU H , et al . 2D DOA estimation based on matrix method and joint diagonalization technique [J ] . Journal on Communications , 2013 , 34 ( 9 ): 61 - 67 .
SUN X Y , CHEN J , LIN L . Joint signal carrier frequency and 2D DOA estimation method based on space-time processing [J ] . Journal on Communications , 2009 , 30 ( 8 ): 39 - 44 .
WU Y T , HOU C H , WANG R , et al . Joint ranges DOAs and frequencies estimation of multiple near-field sources using cumulant [J ] . Acta Electronica Sinica , 2005 , 33 ( 10 ): 1893 - 1896 .
WANG S , CAFFERY J , ZHOU X . Analysis of a joint spacetime DOA/FOA estimator using MUSIC [C ] // IEEE International Symposium on Personal,Indoor and Mobile Radio Communications . 2001 : B138 - B142 .
WANG X D , ZHANG X F , LI J F , et al . Improved ESPRIT method for joint direction-of-arrival and frequency estimation using multiple-delay output [J ] . International Journal of Antennas and Propagation , 2012 ( 1 ): 1018 - 1020 .
DONOHO D L . Compressed sensing [J ] . IEEE Transactions on Information Theory , 2006 , 52 ( 4 ): 1289 - 1306 .
KUMAR A A , RAZUL S G , SEE S M S . An efficient sub-Nyqusit receiver architecture for spectrum blind reconstruction and direction of arrival estimation [C ] // IEEE International Conference on Acoustics,Speech and Signal Processing . 2014 : 6781 - 6785 .
ZHAO M , CHEN H . Multichannel joint frequency and DOA estimation based on expanded dimension [J ] . Journal of Electronics & Information Technology , 2014 , 36 ( 1 ): 147 - 151 .
VAIDYANATHAN P P , PAL P . Sparse sensing with co-prime samplers and arrays [J ] . IEEE Transactions on Signal Processing , 2011 , 59 ( 2 ): 573 - 586 .
PAL P , VAIDYANATHAN P P . Co-prime sampling and the MUSIC algorithm [C ] // Digital Signal Processing Workshop and IEEE Signal Processing Education Workshop . 2011 : 289 - 294 .
LIU C L , VAIDYANATHAN P P . Remarks on the spatial smoothing step in co-array MUSIC [J ] . IEEE Signal Processing Letters , 2015 , 22 ( 9 ): 1438 - 1442 .
SHAO H , SU W M , GU H , et al . Two-dimensional direction finding using a sparse L-shaped array [J ] . Chinese Journal of Radio Science , 2012 , 27 ( 5 ): 886 - 891 .
ZHANG Y D , AMIN M G , HIMED B . Sparsity-based DOA estimation using co-prime arrays [C ] // IEEE International Conference on Acoustics Speech and Signal Processing . 2013 : 3967 - 3971 .
ZHAO T , NEHORAI A . Sparse direction of arrival estimation using co-prime arrays with offgrid targets [J ] . IEEE Signal Processing Let-ters , 2014 , 21 ( 1 ): 26 - 29 .
ZHAO T , ELDAR Y C , NEHORAI A . Direction of arrival estimation using co-prime arrays:a super resolution viewpoint [J ] . IEEE Transactions on Signal Processing , 2014 , 62 ( 21 ): 5565 - 5576 .
BOUDAHER E , JIA Y , AHMAD F , et al . Multi-frequency co-prime arrays for high-resolution direction-of-arrival estimation [J ] . IEEE Transactions on Signal Processing , 2015 , 63 ( 14 ): 3797 - 3808 .