A method for precise root mean square (RMS) measurement of periodic signals based on signal reconstruction is analysed. The RMS value of a signal under test is determined in three steps. In the first step, the Fourier coefficients are estimated from integrative samples, in the second step the estimators are corrected, using the method of least squares with constraints and precision measurement of rectified signal average, and in the third step the RMS value is calculated from the Fourier coefficient estimators. Properties of integrative samples are analysed and the problem of choosing the optimal integration time is discussed. It is shown that this approach, optimal reconstruction with correction, considerably increases the accuracy of the RMS measurements of low frequency signals.
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This paper is about a system for the measurement of RMS voltage. One or more of these systems can be employed as components for a wide range of applications for the measurement of electrical quantities in the field of electrical metrology. The first implementation has demonstrated its functionality and the possibility to reach a stability of the AC voltage measurement in a wide frequency range with an accuracy within 10 parts in 10&sup6;, limited only by the DC voltage accuracy of the DAC employed. A second implementation, now under investigation, aims at improving the accuracy of the system for high precision measurements.
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