Accuracy assessment of the two-sample zero-crossing detection in a sinusoidal signal

Accuracy assessment of the two-sample zero-crossing detection in a sinusoidal signal
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正弦信号中两样本过零检测的精度评估

DOI:
10.1088/0026-1394/49/4/413
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发表时间:
2012
期刊:
影响因子:
2.4
通讯作者:
Wang L J
Wang L J
中科院分区:
工程技术3区
文献类型:
--
作者:
Svitlov S;Rothleitner Ch;Wang L J

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通过分析不确定度传播对两样本过零检测方法的精度进行了评估,并在数值仿真中得到了验证。给出了由线性内插、量化、白噪声和时间抖动引起的不确定分量的近似表达式。将检测到的零相的合成标准不确定度表示为信号频率、外部噪声功率和所使用的数字化仪参数的函数。通过在频率、位移和自由落体加速度测量中的应用,说明了由几个检测到的过零点得到的测量不确定度的评定。报告的结果可用于测量系统或程序的不确定度分析和参数优化,涉及正弦信号的处理。
The accuracy of a two-sample zero-crossing detection method is assessed by analytical uncertainty propagation and is verified in numerical simulations. Approximated expressions are given to evaluate uncertainty components due to linear interpolation, quantization, white noise and time jitter. The combined standard uncertainty of a detected zero phase is expressed as a function of the signal frequency, power of external noise and parameters of the digitizer used. The evaluation of the uncertainty of the measurand, derived from several detected zero-crossings, is illustrated with applications in frequency, displacement and free-fall acceleration measurements. The reported results can be used for uncertainty analysis and parameter optimization of a measurement system or a procedure, involving processing of sinusoidal signals.
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