Enhanced Array Aperture using Higher Order Statistics for DoA Estimation

Recently, the higher order statistics (HOS) and sparsity based array are most talked about techniques to estimate the Direction of Arrival (DoA). They not only provide enhanced Degree of Freedom (DoF) to handle underdetermined cases but also improve the estimation accuracy of the system. To achieve high accuracy and more number of DoF with limited number of sensors, here we have proposed a method based on the fourth order statistics. The aperture of virtual array becomes O(16N^4) using N physical sensors. Proposed method can be extended to the HOS which increases the DoF by many folds. Numeric simulation validates these claims that the proposed method increases the resolution capacity as well as maximize the DoF among all the earlier proposed method.

[1]  Yifan Shen,et al.  Vandermonde decomposition of coprime coarray covariance matrix for DOA estimation , 2017, 2017 IEEE 18th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC).

[2]  Wei Cui,et al.  Extension of Co-Prime Arrays Based on the Fourth-Order Difference Co-Array Concept , 2016, IEEE Signal Processing Letters.

[3]  H. V. Trees.  Detection, Estimation, And Modulation Theory , 2001 .

[4]  M. Viberg,et al.  Two decades of array signal processing research: the parametric approach , 1996, IEEE Signal Process. Mag..

[5]  Wei-Ping Zhu,et al.  Direction-of-arrival estimation based on Toeplitz covariance matrix reconstruction , 2016, 2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[6]  Petre Stoica,et al.  MUSIC, maximum likelihood, and Cramer-Rao bound , 1989, IEEE Transactions on Acoustics, Speech, and Signal Processing.

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

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

[9]  R. T. Hoctor,et al.  The unifying role of the coarray in aperture synthesis for coherent and incoherent imaging , 1990, Proc. IEEE.

[10]  Wei-Ping Zhu,et al.  A Toeplitz Covariance Matrix Reconstruction Approach for Direction-of-Arrival Estimation , 2017, IEEE Transactions on Vehicular Technology.

[11]  Braham Himed,et al.  Sparsity-based DOA estimation using co-prime arrays , 2013, 2013 IEEE International Conference on Acoustics, Speech and Signal Processing.

[12]  Ben Wang,et al.  An Improved DOA Estimation Approach Using Coarray Interpolation and Matrix Denoising , 2017, Sensors.