A compressed-sensing-technique-based Brillouin optical time-domain analysis is proposed. The Brillouin spectrum has a sparse representation in its discrete cosine transform domain, which can be successfully recovered from far fewer measurements with high probability through an orthogonal matching-pursuit algorithm. This work shows both empirically and experimentally that the amount of frequency acquisitions needed is only 30% of those required by a conventional distributed Brillouin fiber-optic sensing system with 1 MHz frequency increment in the acquisition process to obtain Brillouin spectra along an optical fiber; therefore, the number of acquisitions and the amount of data storage/transfer are greatly reduced. Moreover, the proposed method does not need any hardware modification in an existing sensing system and can also be adopted by Brillouin optical time-domain reflectometry.

中文翻译：

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通过压缩传感进行布里渊光学时域分析

提出了一种基于压缩传感技术的布里渊光学时域分析方法。布里渊频谱在其离散余弦变换域中具有稀疏表示，可以通过正交匹配-追踪算法以极高的概率成功地从少得多的测量中成功恢复。这项工作从经验和实验上都表明，所需的频率采集量仅为传统的分布式布里渊光纤感测系统在采集过程中以1 MHz的频率增量来获得沿光纤的布里渊光谱所需的频率采集量的30％。因此，大大减少了获取次数和数据存储/传输量。而且，