Noise properties of Hilbert transform evaluation
Noise properties of Hilbert transform evaluation
复制标题
希尔伯特变换评估的噪声特性
DOI：
10.1088/0957-0233/26/8/085207
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发表时间：
2015
影响因子：
2.4
通讯作者：
V. Svak
中科院分区：
文献类型：
--
作者：
Pavel Pavlíček;V. Svak
希尔伯特变换是光学测量方法中计算调制信号包络和相位的标准方法。通常，光的强度在探测器上被转换成电信号。因此，实际的空间或时间采样信号总是受到噪声的影响。由于各个样本的噪声值是独立的，因此可以认为噪声是白噪声。如果从有噪声的信号中计算包络和相位，它们也会受到噪声的影响。我们计算了包络噪声和相位噪声的方差和谱密度。我们确定哪些参数影响包络噪声和相位噪声的方差和谱密度。最后，确定了白光干涉测量和条纹分析中噪声对测量不确定度的影响。
The Hilbert transform is a standard method for the calculation of the envelope and phase of a modulated signal in optical measurement methods. Usually, the intensity of light is converted into an electric signal at a detector. Therefore the actual spatially or temporally sampled signal is always affected by noise. Because the noise values of individual samples are independent, the noise can be considered as white. If the envelope and phase are calculated from the noised signal, they will also be affected by the noise. We calculate the variance and spectral density of both the envelope noise and the phase noise. We determine which parameters influence the variance and spectral density of both the envelope noise and the phase noise. Finally, we determine the influence of the noise on the measurement uncertainty in white-light interferometry and fringe-pattern analysis.