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Analysis of compressive sensing with optical mixing using a spatial light modulator

机译：使用空间光调制器的光学混合分析压缩感测

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Compressive sensing (CS) in a photonic link has a high potential for acquisition of wideband sparse signals. In CS it is necessary to mix the input sparse signal with a pseudorandom sequence prior to sub-sampling. A pulse shaper with a spatial light modulator (SLM) can be used in photonic CS as an optical mixer to improve the speed of mixing. In this approach, the sparse signal is modulated on a chirped optical pulse and the pseudorandom sequence is recorded on the SLM within the pulse shaper. The optical mixing in the frequency domain is realized based on the principle of frequency-to-time mapping. In this paper, we investigate the performance and limitations of photonic CS with an SLM in detail. A theoretical model to describe optical mixing based on frequency-to-time mapping is presented. We point out that there is an upper limit on the length of the pseudorandom sequence recorded on the SLM that can be mixed with the sparse signal due to the condition of the far-field approximation of the frequency-to-time mapping. Since the length of the pseudorandom sequence is one of the major factors that affect the signal recovery performance in CS, this limitation should be fully considered in the system design of the CS with optical mixing in the frequency domain. We present numerical and experimental results to verify the theoretical findings. Discussion on the performance improvement is also presented. (C) 2015 Optical Society of America
机译：光子链路中的压缩感测（CS）具有捕获宽带稀疏信号的巨大潜力。在CS中，有必要在子采样之前将输入的稀疏信号与伪随机序列混合。具有空间光调制器（SLM）的脉冲整形器可以在光子CS中用作光学混合器，以提高混合速度。在这种方法中，稀疏信号在线性调频光脉冲上调制，伪随机序列记录在脉冲整形器内的SLM上。基于频率到时间的映射原理，实现了频域的光混频。在本文中，我们详细研究了带有SLM的光子CS的性能和局限性。提出了一种基于频率-时间映射描述光学混频的理论模型。我们指出，由于频率到时间映射的远场近似的条件，可以与稀疏信号混合的SLM上记录的伪随机序列的长度存在上限。由于伪随机序列的长度是影响CS中信号恢复性能的主要因素之一，因此在频域中进行光学混频的CS系统设计中应充分考虑这一限制。我们提供数值和实验结果以验证理论发现。还讨论了性能改进。 （C）2015年美国眼镜学会

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