On Spatial Smoothing for DOA Estimation of 2D Coherently Distributed Sources with Double Parallel Linear Arrays

Considering coherently-distributed (CD) sources are correlated with each other, a two-dimensional (2D) coherent CD source model is proposed according to the characteristics of an underwater acoustic channel. Under the assumption of small angular spreads, rotational invariance relationships within and between subarrays of double parallel linear arrays are derived. As the covariance matrix of spatial smoothing obtained from receive vectors expressed by rotational invariance relationships is proven to be full rank, decoherence of the 2D coherent CD source is proposed by spatial smoothing of the double parallel linear arrays. A propagator method base on spatial smoothing (SS-PM) and estimation of signal parameters via rotational invariance techniques (ESPRIT) base on spatial smoothing (SS-ESPRIT) method established by covariance matrix of spatial smoothing are proposed. The proposed methods do not require peak-searching, angles matching and information of deterministic angular signal distribution function. Simulations are conducted to verify the effectiveness of the proposed methods.

[1]  Gensheng Li,et al.  Feasibility analysis of coiled tubing drilling with supercritical carbon dioxide , 2010 .

[2]  Shahrokh Valaee,et al.  Parametric localization of distributed sources , 1995, IEEE Trans. Signal Process..

[3]  Guangjun Li,et al.  Simplified Estimation of 2D DOA for Coherently Distributed Sources , 2010, Wireless Personal Communications.

[4]  Chi Chung Ko,et al.  Low-complexity 2D parameter estimation of coherently distributed noncircular signals using modified propagator , 2017, Multidimens. Syst. Signal Process..

[5]  G. Schwarz.  Estimating the Dimension of a Model , 1978 .

[6]  Tao Wu,et al.  Two-Dimensional DOA Estimation for Incoherently Distributed Sources with Uniform Rectangular Arrays , 2018, Sensors.

[7]  Hatem Boujemaa.  Signal Processing Extension of COMET algorithm to multiple diffuse source localization in azimuth and elevation , 2005, Eur. Trans. Telecommun..

[8]  Guangming Shi,et al.  Estimation of directions of arrival of multiple distributed sources for nested array , 2017, Signal Process..

[9]  Guangjun Li,et al.  2D DOA Estimator for Multiple Coherently Distributed Sources Using Modified Propagator , 2012, Circuits Syst. Signal Process..

[10]  Shahrokh Valaee,et al.  Distributed source localization using ESPRIT algorithm , 2001, IEEE Trans. Signal Process..

[11]  Guangjie Han,et al.  A DOA Estimation Approach for Transmission Performance Guarantee in D2D Communication , 2017, Mob. Networks Appl..

[12]  Guangjun Li,et al.  Low‐complexity 2D DOA estimator for multiple coherently distributed sources , 2012 .

[13]  Arye Nehorai,et al.  Nested Array Processing for Distributed Sources , 2014, IEEE Signal Processing Letters.

[14]  Guangjun Li,et al.  2D DOA Estimation of Coherently Distributed Noncircular Sources , 2014, Wirel. Pers. Commun..

[15]  K. M. Wong,et al.  Estimation of the directions of arrival of spatially dispersed signals in array processing , 1996 .

[16]  Guangjun Li,et al.  Low-Complexity Estimation of the Nominal Azimuth and Elevation for Incoherently Distributed Sources , 2013, Wirel. Pers. Commun..

[17]  Qun Wan,et al.  Low-complexity 2D coherently distributed sources decoupled DOAs estimation method , 2009, Science in China Series F: Information Sciences.

[18]  Youming Sun,et al.  Two-Dimensional DOA Estimation for Coherently Distributed Sources with Symmetric Properties in Crossed Arrays , 2017, Sensors.

[19]  Yide Wang,et al.  Efficient DSPE algorithm for estimating the angular parameters of coherently distributed sources , 2008, Signal Process..

[20]  Xiong Wenmeng,et al.  Performance analysis of distributed source parameter estimator (DSPE) in the presence of modeling errors due to the spatial distributions of sources , 2018 .

[21]  Lei Huang,et al.  MMSE-Based MDL Method for Robust Estimation of Number of Sources Without Eigendecomposition , 2009, IEEE Transactions on Signal Processing.

[22]  Guangjie Han,et al.  DOA Estimation for Coherently Distributed Sources Considering Circular and Noncircular Signals in Massive MIMO Systems , 2017, IEEE Systems Journal.