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A comparison between data processing techniques for FTS based on high frequency interferogram sampling

机译：基于高频干扰图采样的FTS数据处理技术的比较

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This paper compares different data processing techniques for FTS with the aim of assessing the feasibility of a spectrometer leveraging on standard DAC boards, without dedicated hardware for sampling and speed control of the moving mirrors. Fourier transform spectrometers rely on the sampling of the interferogram at constant steps of the optical path difference (OPD) to evaluate the spectra through standard discrete Fourier transform. Constant OPD sampling is traditionally achieved with dedicated hardware but, recently, sampling methods based on the use of common analog to digital converters with large dynamic range and high sampling frequency have become viable when associated with specific data processing techniques. These methods offer advantages from the point of view of insensitivity to disturbances, in particular mechanical vibrations, and should be less sensitive to OPD speed errors. In this work the performances of three algorithms, two taken from literature based on phase demodulation of a reference interferogram have been compared with a method based on direct phase computation of the reference interferogram in terms of robustness against mechanical vibrations and OPD speed errors. All methods provided almost correct spectra with vibrations amplitudes up to 10％ of the average OPD speed and speed drifts within the scan up to 20％ of the average, as long as the disturbance frequency was lower than the reference signal nominal one. The developed method based on the arccosine function keeps working also with frequencies of the disturbances larger than the reference channel one, the common limit for the other two.
机译：本文比较了FTS的不同数据处理技术，目的是评估利用标准DAC板上的光谱仪的可行性，无需专用硬件，用于采样和速度控制移动镜。傅里叶变换光谱仪依赖于光学路径差（OPD）的恒定步骤的干扰图的采样，以通过标准离散傅立叶变换评估光谱。传统上使用专用硬件实现恒定的OPD采样，但最近，基于使用具有大动态范围和高采样频率的共同模拟转换器的采样方法，当与特定数据处理技术相关联时变得可行。这些方法从对扰动的不敏感性的角度来看，特别是机械振动，并且应该对OPD速度误差不太敏感。在这项工作中，已经将三种算法的性能与基于参考干涉图的相位解调的文献中取代的两种算法的性能与基于对机械振动的鲁棒性和OPD速度误差的鲁棒性的直接相位计算。所有方法几乎正确的光谱，振动幅度高达10％的平均OPD速度的10％，扫描内的速度漂移高达20％的平均值，只要扰动频率低于标称值的扰动信号即可。基于ArcCOSINE函数的开发方法也与大于参考通道的频率的频率保持工作，对方的共同限制。

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