Simulation Analysis of Phase Jitter in Differential Sampling of AC Waveforms Based on the Programmable Josephson Voltage Standard
Abstract
:1. Introduction
- (1)
- Most studies rely solely on simulations or lack sufficient theoretical analyses, let alone theoretical derivation of compensation coefficient, making it difficult to evaluate type B measurement uncertainty;
- (2)
- Assume that phase jitter remains constant over a measurement cycle;
- (3)
- When using Taylor expansion as a linear hypothesis, only the first order can be analyzed; thus, only type A measurement uncertainty can be analyzed;
- (4)
- Assume that phase jitter follows uniform or specific distributions.
2. Phase Jitter Model
- (1)
- A discrete Fourier transform algorithm is applied first to get the information on fundamentals and harmonics, and then an average is calculated to get the RMS of the waveform to be measured [15]; this post-processing method is called “DFT-Average” in this paper;
- (2)
- An average is calculated first to receive one voltage per step of the waveform to be measured, and then the DFT algorithm is applied to get the information of fundamentals and harmonics of the waveform to be measured [16]; this post-processing method is called “Average-DFT” in this paper;
- (3)
- Due to the limitation of the sampling principle of samplers such as integral samplers, an integrated sampling is used first to obtain one voltage per step of the waveform to be measured, and then the DFT algorithm is applied to get the RMS of the waveform to be measured [9,10,12]; this post-processing method is called “Integrate-DFT” in this paper.
2.1. Impact of Phase Jitter on the “DFT-Average” Method
2.2. Impact of Phase Jitter on the “Average-DFT” Method
2.3. Impact of Phase Jitter on the “Integrate-DFT” Method
3. Simulation of the Phase Jitter
3.1. Compensation Coefficients of Phase Jitter following Some Common Distributions
3.2. Simulation for Phase Jitter following Different Distributions
3.3. Simulation of the Effect of Phase Jitter with Different Waveform Frequencies
3.4. Simulation of the Effect of Phase Jitter with Frequencies at 50 Hz, 1 kHz and 3.125 kHz
4. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
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Distribution | Compensation Coefficients | |
---|---|---|
Normal | ||
Triangulate | ||
Rectangular |
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Wang, Y.; Sun, X.; Zhao, J.; Zhou, K.; Lu, Y.; Qu, J.; Hu, P.; He, Q. Simulation Analysis of Phase Jitter in Differential Sampling of AC Waveforms Based on the Programmable Josephson Voltage Standard. Electronics 2024, 13, 1890. https://doi.org/10.3390/electronics13101890
Wang Y, Sun X, Zhao J, Zhou K, Lu Y, Qu J, Hu P, He Q. Simulation Analysis of Phase Jitter in Differential Sampling of AC Waveforms Based on the Programmable Josephson Voltage Standard. Electronics. 2024; 13(10):1890. https://doi.org/10.3390/electronics13101890
Chicago/Turabian StyleWang, Yanping, Xiaogang Sun, Jianting Zhao, Kunli Zhou, Yunfeng Lu, Jifeng Qu, Pengcheng Hu, and Qing He. 2024. "Simulation Analysis of Phase Jitter in Differential Sampling of AC Waveforms Based on the Programmable Josephson Voltage Standard" Electronics 13, no. 10: 1890. https://doi.org/10.3390/electronics13101890
APA StyleWang, Y., Sun, X., Zhao, J., Zhou, K., Lu, Y., Qu, J., Hu, P., & He, Q. (2024). Simulation Analysis of Phase Jitter in Differential Sampling of AC Waveforms Based on the Programmable Josephson Voltage Standard. Electronics, 13(10), 1890. https://doi.org/10.3390/electronics13101890