Joint DoA and bandwidth estimation of unknown signals through single snapshot data and MT-BCS approach

A novel strategy for the estimation of the direction-of-arrivals (DoAs) and the bandwidth of multiple signals impinging on a linear array is introduced. Starting from the voltages measured at the output of the array elements at a single time instant, the retrieval of the DoAs is addressed by means of a customized strategy based on the Multi-Tasks Bayesian Compressive Sensing (MT-BCS) in order to correlate the solutions obtained over different frequency samples. The spectral correlation allows to improve the accuracy of the DoAs recovery, although the single instant data acquisition, and to have an estimation of the signals bandwidth. A preliminary numerical result is reported to shown the behavior of the proposed method.

[1]  Björn E. Ottersten,et al.  Direction-of-arrival estimation for wide-band signals using the ESPRIT algorithm , 1990, IEEE Trans. Acoust. Speech Signal Process..

[2]  Yu Hen Hu,et al.  A Direct Wideband Direction of Arrival Estimation under Compressive Sensing , 2013, 2013 IEEE 10th International Conference on Mobile Ad-Hoc and Sensor Systems.

[3]  Thomas Kailath,et al.  ESPRIT-estimation of signal parameters via rotational invariance techniques , 1989, IEEE Trans. Acoust. Speech Signal Process..

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

[5]  Moeness G. Amin,et al.  Coherent wideband DOA estimation of multiple FM signals using spatial time-frequency distributions , 2000, 2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100).

[6]  Paolo Rocca,et al.  Bayesian Compressive Sensing as Applied to Directions-of-Arrival Estimation in Planar Arrays , 2013, J. Electr. Comput. Eng..

[7]  P. Rocca,et al.  An Innovative Multiresolution Approach for DOA Estimation Based on a Support Vector Classification , 2009, IEEE Transactions on Antennas and Propagation.

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

[9]  P. Rocca,et al.  Directions-of-Arrival Estimation Through Bayesian Compressive Sensing Strategies , 2013, IEEE Transactions on Antennas and Propagation.

[10]  Ilan Ziskind,et al.  Maximum likelihood localization of multiple sources by alternating projection , 1988, IEEE Trans. Acoust. Speech Signal Process..

[11]  Leonardo Lizzi,et al.  The M-DSO-ESPRIT Method for Maximum Likelihood DoA Estimation , 2008 .

[12]  Slavche Pejoski,et al.  Sparse Covariance Fitting Method for Direction of Arrival Estimation of Uncorrelated Wideband Signals , 2014 .

[13]  Paolo Rocca,et al.  Compressive Sensing in Electromagnetics - A Review , 2015, IEEE Antennas and Propagation Magazine.