Abstract Staircase waveform is a bridge from DC to AC measurement, and will be a potential bridge from static to dynamic state. A concept of piecewise sampling is proposed. Under this concept the characteristics of staircase waveform is analyzed. The measurement approach for the staircase waveform is discussed with the experiments to overcome the impact from the transient effect and the Gibbs phenomenon. For a typical analogue-to-digital converter with antialiasing filter the selection of the parameters of piecewise sampling is presented for the precise measurement. The experimental results indicate that the impact from fluctuation of samples values to the fundamental amplitude and the root mean square is greatly reduced by the piecewise sampling.
［1］Lu Z L, Yang Y, Huang L, et al. Further investigation for piecewise sampling to overcome transient effect of staircase waveform ［J］. IEEE Trans Instrum Meas, 2017, 66(6): 1217-1226.
［2］Rufenacht A, Burroughs C J, Dresselhaus P D, et al. Differential sampling measurement of a 7V RMS sine wave with a progrannable Josephson voltage standard ［J］. IEEE Trans Instrum Meas, 2013, 62(6): 1587-1593.
［3］Brom H E V D, Houtzager E, Verhoeckx S, et al. Influence of sampling voltmeter parameters on RMS measurements of Josephson stepwise-approximated sine waves ［J］. IEEE Trans Instrum Meas, 2009, 58(10): 3806-3812.
［4］Jeanneret B, Caegaro L, Mortara A, et al. Josephson-voltage-standard-locked sine wave synthesizer:margin evaluation and stability［J］. IEEE Trans Instrum Meas, 2009, 58(4): 791-796.
［5］Jeanneret B, Rufenacht A, Overney F, et al. High precision comparison between a programmable and a pulse-driven Josephson voltage standard［J］. Metrologia, 2011, 48(5):311-316.
［6］Schubert M, Starkloff M, Lee J, et al. An AC Josephson voltage standard up to the Kilohertz range tested in a cabilbration laboratory ［J］. IEEE Trans Instrum Meas, 2015, 64(6): 1620-1626.
［7］Lu Z L, Huang L, Yang Y, et al. A new simplified approach to the error analysis of digitally synthesized signals generated by digital-to-analog converters and its fundamental component measurement without a filter ［C］// CPEM2010. Daejeon, Korea, 2010:265-266.
［8］Lu Z L, Huang L, Yang Y, et al. The application of the staircase waveform of a DAC for precise measurements of electrical quantities ［C］ // CPEM2012. Washington DC, 2012:280-281.
［9］Lu Z L, Yang Y, Huang L, et al. An improved sampling approach to overcome transient effect in staircase waveform［C］// CPEM2014. Rio de Janeiro, Brazil, 2014:702-703.
［10］Lu Z L, Yang Y, Huang L, et al. Further investigation for piecewise sampling to overcome transient effect of staircase waveform ［C］ // CPEM2016. Ottawa, Canada, 2016:1-2.
［11］陆祖良,杨雁,黄璐,等.阶梯波性质的进一步探讨［J］.计量学报,2018,39(6):759-767.
Lu Z L, Yang Y, Huang L, et al. Further discussion on characteristics of staircase waveform ［J］. Acta Metrologica Sinica, 2018,39(6):759-767.
［12］Jia Z S, Liu Z Y, Wang L. Design and implementation of differential AC voltage sampling system based on PJVS ［J］. Measurement, 2018,125:606-611.
［13］Williams J M,Henderson D,Pickering J, et al. Quantum-referenced voltage waveform synthesizer［J］. IET Sci Meas Technol, 2011, 5(5):163-174.
2019, Vol. 40 
