Minimum phase response reconstruction of sampling oscilloscopes based on the NTN calibration
Minimum phase response reconstruction of sampling oscilloscopes based on the NTN calibration
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DOI：
10.1109/cpem.2008.4574963
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发表时间：
2008-06
期刊：
影响因子：
--
通讯作者：
Xu Qinghua;Lin Maoliu;Zhang Zhe
中科院分区：
文献类型：
--
作者：
Xu Qinghua;Lin Maoliu;Zhang Zhe
本文提出了一种由线性时不变响应函数的幅值确定其采样范围的最小相位响应的算法。该过程是基于Kramers-Kronig关系与NTN校准的谐波相位响应测量相结合。虽然希尔伯特变换的截断引起估计相位的大误差，但是这些误差可以通过使用三个基函数来近似。作为例子，在频域中得到了采样示波器的最小相位响应重构，其频率分辨率达到了1 MHz。
This paper describes an algorithm for determining the minimum phase response of sampling oscilloscopes of a linear time-invariant response function from its magnitude. The procedure is based on Kramers-Kronig relations in combination with the harmonic phase response measurement of the NTN calibration. Although the truncation of the Hilbert transform gives rise to large errors in estimated phase, these errors may be approximated by using three basis functions. As an example, we got the minimum-phase response reconstruction of sampling oscilloscopes in the frequency domain; its frequency resolution achieves 1 MHz.