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2: Sampling frequency Fs ¼ Number of sample points 1 Dt N¼ (1:12:1) T Dt (1:12:2) The time interval, Dt, is the uniform sample spacing between two adjacent sampling points; N is the sampling points per measurement period; and T is the total time for the measurement. 4 ALIASING ERROR Anti-aliasing filters are applied so that when a set of sample points is inspected, the input frequency components that are present are uniquely TLFeBOOK 45 Data Acquisition related to the input data. Otherwise, there are many possible input frequencies (the aliases), all of which can produce the same data points.

This section overviews discrete data statistics and then examines continuous data techniques. 1 STATISTICAL DECISION MAKING The measure of central tendency of data is accomplished through the mean and the median. 1. The median is the central value in a set of data arranged in order of magnitude: n P m¼ (Xi ) i¼1 n (1:13:1) The mode can be defined as the observation that occurs most frequently in a sample of data. If the data are symmetrically distributed, the mean, the median, and the mode are the same.

Anti-aliasing filters are applied to limit the input frequency components present in the data. 42 R1 eB eA C1 −Vs C1 = C2 = C Active low-pass filters. 43 −ve C1 = C2 = C Active high-pass filters. data points. Anti-aliasing filters remove all the unwanted input frequencies. Anti-aliasing filters are commonly, but not always, low-pass filters. 4. 12 data acquisition A data acquisition system allows data to be taken from an experiment and fed to a display or a system for manipulation or storage. The signal generated by the strain transducer and the load transducer must be measured to determine the strain or the load.

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