确定眼动跟踪时间序列中哪些正弦波频率对应信号,哪些对应噪声。

IF 1.3 4区 心理学 Q3 OPHTHALMOLOGY
Journal of Eye Movement Research Pub Date : 2023-12-31 eCollection Date: 2021-01-01 DOI:10.16910/jemr.14.3.5
Mehedi H Raju, Lee Friedman, Troy M Bouman, Oleg V Komogortsev
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引用次数: 0

摘要

傅立叶定理指出,任何时间序列都可以分解成一组正弦频率,每个频率都有自己的相位和振幅。文献表明,有些频率对于再现眼球运动的关键特征非常重要("信号"),而有些频率则不重要("噪声")。为了研究什么是信号,什么是噪音,我们从三个方面分析了我们的数据集:(1)目测囊状动作、微小动作和平滑追随示例图;(2)分析 1,033 个未过滤囊状动作轨迹中每个频段所占的方差百分比(PVAF);(3)根据幂律拟合分析囊状动作峰值速度和振幅之间的主序关系。目测结果表明,需要高达 75 Hz 的频率才能代表微小累积。我们的 PVAF 分析表明,0-25 Hz 频段的信号几乎占囊回轨迹方差的 100%。对于 75 Hz 或更高频率的低通滤波信号,幂律系数(a、b)恢复到未滤波水平。我们的结论是,要保持眼动信号并减少噪音,75 Hz 的截止频率是合适的。我们解释了为什么鉴于这一结论,建议最低采样率为 750 赫兹。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Determining Which Sine Wave Frequencies Correspond to Signal and Which Correspond to Noise in Eye-Tracking Time-Series.

The Fourier theorem states that any time-series can be decomposed into a set of sinusoidal frequencies, each with its own phase and amplitude. The literature suggests that some frequencies are important to reproduce key qualities of eye-movements ("signal") and some of frequencies are not important ("noise"). To investigate what is signal and what is noise, we analyzed our dataset in three ways: (1) visual inspection of plots of saccade, microsaccade and smooth pursuit exemplars; (2) analysis of the percentage of variance accounted for (PVAF) in 1,033 unfiltered saccade trajectories by each frequency band; (3) analyzing the main sequence relationship between saccade peak velocity and amplitude, based on a power law fit. Visual inspection suggested that frequencies up to 75 Hz are required to represent microsaccades. Our PVAF analysis indicated that signals in the 0-25 Hz band account for nearly 100% of the variance in saccade trajectories. Power law coefficients (a, b) return to unfiltered levels for signals low-pass filtered at 75 Hz or higher. We conclude that to maintain eyemovement signal and reduce noise, a cutoff frequency of 75 Hz is appropriate. We explain why, given this finding, a minimum sampling rate of 750 Hz is suggested.

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来源期刊
CiteScore
2.90
自引率
33.30%
发文量
10
审稿时长
10 weeks
期刊介绍: The Journal of Eye Movement Research is an open-access, peer-reviewed scientific periodical devoted to all aspects of oculomotor functioning including methodology of eye recording, neurophysiological and cognitive models, attention, reading, as well as applications in neurology, ergonomy, media research and other areas,
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