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Chapter 12 DC/RMS Measurements

measure is composed of many frequency components close to each other in the frequency domain.

You also must make sure that the window is scaled correctly or that you update scaling after applying the window. The most useful window functions are pre-scaled by their coherent gain—the mean value of the window function—so that the resulting mean value of the scaled window function is always 1.00. DC measurements do not need to be scaled when using a properly scaled window function. For RMS measurements, each window has a specific equivalent noise bandwidth that you must use to scale integrated RMS measurements. You must scale RMS measurements using windows by the reciprocal of the square root of the equivalent noise bandwidth.

Rules for Improving DC and RMS Measurements

Use the following guidelines when determining a strategy for improving your DC and RMS measurements:

If your signal is overlapped with a single tone, longer integration times increase the accuracy of your measurement. If you know the exact frequency of the sine tone, use a measurement time that corresponds to an exact number of sine periods. If you do not know the frequency of the sine tone, apply a window, such as a Hann window, to significantly reduce the measurement time needed to achieve a specific accuracy.

If your signal is overlapped with many independent tones, increasing measurement time increases the accuracy of the measurement. As in the single tone case, using a window significantly reduces the measurement time needed to achieve a specific accuracy.

If your signal is overlapped with noise, do not use a window. In this case, you can increase the accuracy of your measurement by increasing the integration time or by pre-processing or conditioning your noisy signal with a lowpass (or bandstop) filter.

RMS Levels of Specific Tones

You can always improve the accuracy of an RMS measurement by choosing a specific measurement time (to contain an integer number of cycles of your sine tones) or by using a window function. The measurement of the RMS value is based only on the time domain knowledge of your signal. You can use advanced techniques when you are interested in a specific frequency or narrow frequency range.

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LabVIEW Measurements Manual

Chapter 12 DC/RMS Measurements

You can use bandpass or bandstop filtering before RMS computations to measure the RMS power in a specific band of frequencies. You also can use the Fast Fourier Transform (FFT) to pick out specific frequencies for RMS processing. Refer to Chapter 13, Frequency Analysis, for more information about the FFT.

The RMS level of a specific sine tone that is part of a complex or noisy signal can be extracted very accurately using frequency domain processing, leveraging the power of the FFT, and utilizing the benefits of windowing.

LabVIEW Measurements Manual

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