高斯振幅调制下基于稀疏性的鬼成像

Sparsity-Based Ghost Imaging with Gaussian-Amplitude Modulation

利用数字微镜器件(DMD)的可控性,搭建了一种基于数字微镜器件幅度调制的单臂鬼成像实验平台,利用数字微镜器件调幅预置生成不同均值和标准差的准高斯随机测量矩阵,从实验角度分析了不同均值和标准差的准高斯随机测量矩阵以及目标稀疏度对基于稀疏限制的鬼成像(GISC)图像重建质量的影响。数值模拟和实验结果均表明:随着均值u的减小或者标准差σ的增大(即准高斯随机测量矩阵A的调幅大小δ=σ/u的增大),基于稀疏限制的鬼成像图像重建质量的失真度正比于准高斯随机测量矩阵的调幅大小δ-1/2,同时基于稀疏限制的鬼成像的图像重建质量的失真度与目标的稀疏度β成线性关系。

With the controllability of the digital micromirror device （DMD）, a single-arm ghost imaging experiment platform based on the DMD amplitude modulation is built and DMD amplitude modulation is used to generate prebuilt quasi-Gaussian random measurement matrix with different mean values and standard deviations. The influence of the quasi-Gaussian random measurement matrix with different mean values and standard deviations and the image＇s sparsity on the quality of image reconstruction based on ghost imaging via sparsity constraints （GISC） is experimentally analyzed. Both the numerical simulation and experimental results show that： as the mean value u decreases or the standard deviation a increases （namely as the size of amplitude modulation δ = a/u of the quasi- Gaussian random measurement matrix A increases）, the reconstruction fidelity of GISC is proportion to δ^-1/2, and at the same time, it is linearly related to the imagers sparsity β.