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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。
In this paper, a single-pixel Fourier holographic imaging system based on compressive sensing is proposed. The system combines the optical heterodyne detection technology to compress the Fourier hologram of the object and records the result through the optimization algorithm to obtain the sine hologram and the cosine hologram. In this method, a single-pixel photoelectric conversion unit is used to detect the time-varying optical field containing the Fourier holographic information of the object, and the real part and the imaginary part of the complex amplitude are demodulated by a phase-locked amplifier circuit. Simulation results show that using this method can greatly reduce the amount of data recorded hologram, at the same time can get better signal to noise ratio hologram.