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Sensing matrix construction for CS-MIMO radar based on sparse random array
Received date: 2015-10-29
Revised date: 2016-01-15
Online published: 2016-01-18
Supported by
National Natural Science Foundation of China(61501233, 61071163, 61271327, 61471191);A Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions
The sensing matrix of the compressive sensing(CS) theory plays an important role in data acquisition and signal recovery. Most of the previous research takes the Gaussian random matrix as the measurement matrix. However, it is hard to be implemented in physical electric circuit. A novel sensing matrix construction framework for CS-MIMO(multiple-input multiple-output) radar is proposed in this paper based on the sparse random array configuration. The elements of the linear array are placed at random with a fixed large aperture and when the positions of the random elements follow one certain probability distribution, the kronecker product of the transmitting and the receiving array steer vectors can serve as the sensing matrix. The relations between the cross correlations of the sensing matrix, the Gram matrix and the array pattern are investigated in detail. In particular, it is proved that the sensing matrix could satisfy the CS nonuniform recovery property when the random array is following the uniform distribution. Based on the sparse random array configuration, the CS-MIMO radar can not only avoid the additional random measurement matrix but also reduce the required elements. So the complexity of the CS-MIMO radar system is greatly reduced. The simulation experimental results show that the proposed method has lower cross correlations of the sensing matrix. Compared with the CS-MIMO radar with filled array, the proposed method is capable of better recovery performance with less elements, and the computation load for recovery is greatly reduced.
PENG Zhenni , BEN De , ZHANG Gong , XU Di . Sensing matrix construction for CS-MIMO radar based on sparse random array[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2016 , 37(3) : 1015 -1024 . DOI: 10.7527/S1000-6893.2016.0020
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