Wave measurement error in research laboratories

Abstract

In digital measurement systems, the sampling frequency is essential, due to their influence in measurement accuracy. Their effect is decisive when it is necessary to obtain the peak values of the signal. The methods to improve the quality of the acquired data are related to the system's operation in real time or if it is admitted to acquire samples and later on perform the data analysis. In this paper, the relationship between the sampling frequency and the measurement's maximum error is obtained to sinusoidal continuous signals. This relationship can be extended for signals where one or several fundamental harmonics are outstanding. By means of an analytic procedure, the mathematical expressions are obtained and maximum error is determined for the peak values measurement. The effect of the interpolation of points is illustrated using the Fast Fourier Transform method.