中文摘要：

本文提出了一种基于压缩感知的单像素傅立叶全息成像系统。该系统结合光学外差探测技术对物体的傅立叶全息图进行压缩感知记录,通过优化算法重建得到正弦全息图和余弦全息图。其中,使用一个单像素光电转换单元探测包含了物体傅立叶全息信息的时变光场,并通过锁相放大电路将该复振幅的实部和虚部进行解调。仿真结果表明,使用该方法可以大大降低所记录全息图的数据量,同时可以获得信噪比较好的全息图。

英文摘要：

In this paper, a single pixel Fourier hologram imaging system based on compressive sensing is presented, which obtains the compressive sensing results of Fourier hologram by combining with optical heterodyne detection technology, and then uses the optimization algorithms to reconstruct the sine-hologram and cosine-hologram. A single pixel photoelectric conversion element is used to detect the time-varying optical field which contains the Fourier hologram information, and utilizes a lock-in amplification circuit to demodulate the real and imaginary component. The simulation results indicate that the recorded data volume of hologram can be greatly reduced by means of our method. Meanwhile, there is a high signal-to-noise ratio of rebuilding hologram.