DOI: 10.3724/SP.J.1300.2013.13032

Journal of Radars (雷达学报) 2013/2:3 PP.265-270

RIPless Based Radar Waveform Analysis in Sparse Microwave Imaging

Echo data can be modeled as the product of the Toeplitz matrix and reflectivity of the observed scene. The row of the Toeplitz matrix is the time shift of the transmitted signal. Because it is difficult to verify whether the Toeplitz matrix satisfies the reconstruction condition (such as restricted isometry property) of sparse microwave imaging, analyzing the performance of the transmitted signal in sparse microwave imaging is a problem. RIPless, a new progress in sparse signal processing, shows that if the row of the matrix is an independent and identically distributed (i.i.d.) random vector drawn from a distribution, and this distribution satisfies certain conditions, then one can faithfully recover approximately sparse signals from a minimal number of measurements. The Toeplitz matrix satisfies RIPless. In this paper, we introduce the construction of the measurement matrix in sparse microwave imaging. Further, the relationship between pulse duration, bandwidth and waveform type, and the number of measurements in sparse microwave imaging are analyzed. The simulation results show the effectiveness of the proposed method.

Key words:Sparse microwave imaging,RIPless,Compressed sensing,Waveform analysis

ReleaseDate:2014-07-21 16:59:59