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ABSTRACT
This paper proposes a quaternion-ESPRIT (estimate signal parameters via rotation invariance) algorithm for estimating frequency, direction of arrival (DOA) and polarization, using a collocated crossed dipole (CCD) L-shaped array configuration. First, two sets of synchronous sampling data are used to construct the data covariance matrix, the array steering vector of the whole array is estimated using a quaternion eigenvalue decomposition of the data covariance matrix. Second, the direction cosine of the x-axis and y-axis are acquired by applying block operation to the spatial steering vectors, hence the estimates of two-dimensional DOA are obtained. Finally, the polarization parameters are estimated using the relationship between the dipole sub-array steering vectors of the x-axis and y-axis. The closed-form solutions for each parameter are obtained and parameters can automatically match. The simulation results verify that the performance of quaternion method is obviously better than that of the long-vector method.
ACKNOWLEDGEMENTS
The authors would like to thank the anonymous reviewers and the associated editor for their valuable comments and suggestions that improved the clarity of this manuscript.
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Notes on contributors
Lanmei Wang
Lanmei Wang received the Master of Science degree in radio physics in 2003 and the PhD degree in information engineering in 2005, both from Xidian University, Xi'an Shaanxi, China. Her research interests includes in polarization sensitive array signal processing and the application of compressed sensing and frame theory in array signal processing.
Email: [email protected]
Minggao Zou
Minggao Zou was born in Shanxi, China, in August of 1991. He is currently working toward a Master's degree in radio physics at Xidian University, Xi'an Shaanxi, China. His research interest lies in the parameter estimation of polarization sensitive array.
Email: [email protected]
Guibao Wang
Guibao Wang was born in was born in Qing dao, China, 1977. He received his MSc degree from computational mathematics in 2003. He had been worked as an engineer at communication company for many years, now he is a PhD in the National Key Laboratory of Radar Signal Processing of Xidian University. His research interests focus on the polarization sensitive array signal processing.
Email: [email protected]
Zhihai Chen
Zhihai Chen was born in Shanxi, China, in July of 1989. He is currently working toward the Master's degree in radio physics at Xidian University, Xi'an Shaanxi, China. His research interest lies in the parameter estimation of electromagnetic vector sensor array processing based on the hypercomplex algebra and geometric algebra.
Email: [email protected]