ANTI-ALIASING FILTER EFFECTS ON SAMPLING FREQUENCY AND EFFECTS OF MATHEMATICAL IMPLEMENTATION

R. Koch, R. Zuber
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Abstract

The requirements for a measurement device regarding the detection of temporal light artefacts are complex in many ways. In this work, we investigated the effect of aliasing and its impact on SVM and Pst. For a suitable measurement device, an anti-aliasing filter is essential, but the right choice of such a filter involves the consideration of many factors. Very important is the correct adjustment of the sampling frequency with respect to the transmission of the anti-aliasing filter. Filter type, filter order and cut-off frequency in combination with the chosen sampling frequency are directly related to measurement errors. In addition, not only the measurement itself, but also the calculation of quantities like SVM and Pst can introduce errors to TLA results. For the evaluation of SVM for instance, a Fourier transformation of the signal is necessary. To avoid or minimize errors in the frequency detection, common signal processing techniques can be applied. We examine the use of zero-padding (nulling) and windowing on the input signal before an FFT is performed. With the right choice of these techniques, we increase the reliability of the results. These techniques cannot be applied directly to the evaluation of Pst, since this calculation is done in the time domain. Nevertheless, we show that advantages in terms of reliability and measurement duration can be achieved by moving to the frequency domain (Fourier transformation).
抗混叠滤波器对采样频率的影响及其数学实现
关于时间光伪影检测的测量装置的要求在许多方面是复杂的。在这项工作中,我们研究了混叠的影响及其对SVM和Pst的影响。对于一个合适的测量设备,抗混叠滤波器是必不可少的,但正确选择这种滤波器涉及到许多因素的考虑。非常重要的是采样频率的正确调整相对于抗混叠滤波器的传输。滤波器类型、滤波器阶数和截止频率结合所选择的采样频率直接关系到测量误差。此外,除了测量本身,SVM和Pst等量的计算也会给TLA结果带来误差。以支持向量机评价为例,需要对信号进行傅里叶变换。为了避免或减少频率检测中的错误,可以应用常见的信号处理技术。在执行FFT之前,我们检查了对输入信号的零填充(零)和窗口的使用。通过对这些技术的正确选择,我们提高了结果的可靠性。这些技术不能直接应用于Pst的计算,因为这种计算是在时域内完成的。然而,我们表明,在可靠性和测量持续时间方面的优势可以通过移动到频域(傅里叶变换)来实现。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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