基于压缩感知测量值的扩展目标检测

针对宽带雷达扩展目标检测这一问题,提出了一种在复高斯白噪声背景下基于压缩感知(compressed sensing, CS)测量值的检测新方法。新方法将CS理论引入到宽带雷达扩展目标检测领域,首先通过构造sinc基来稀疏表示扩展目标的一维距离像(high resolution range profile, HRRP),再由复杂的近似消息传递(complex approximate message passing, CAMP) 算法从被复高斯白噪声污染的CS测量值中得到HRRP由sinc基线性表示的相关系数,最后由基于l-0范数的检测器实现扩展目标检测,同时经过推导得到虚警概率和检测概率。基于实测宽带雷达回波数据的实验结果表明,所构造的sinc基可以较好地稀疏表示扩展目标的HRRP;和传统的检测器相比,所提出的新方法可以更好地实现扩展目标检测。

Detection of the range spread target based on CS measurements

For wideband radar, the problem of detecting the range spread target is considered in this paper. A new method based on compressed sensing (CS) measurements is proposed to detect the range spread target in the complex Gaussian noise, which brings the CS concept in the range spread target detection field. The sinc basis is introduced to sparsely represent the high range resolution profile (HRRP). Then the coefficient vector of sparse HRRPs in the sinc basis is solved from CS measurements by complex approximate message passing (CAMP) in the presence of complex Gaussian noise. Finally the l-0 detector is adopted to realize the range spread target detection. Meanwhile both the probability of false alarm and detection is derived. Experimental results based on the raw data from the wideband radar show that the sinc basis can sparsely represent the HRRP very well and that compared with the traditional detectors, the proposed method has a better detection performance of the range spread target.