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Chapter 12 DC/RMS Measurements

Figure 12-4. Digits vs Measurement Time for 1 VDC Signal with 0.5 Single Tone

Windowing to Improve DC Measurements

The worst ENOD for a DC signal plus a sine tone occurs when the measurement time is at half-periods of the sine tone. You can greatly reduce these errors due to non-integer number of cycles by using a weighting function before integrating to measure the desired DC value. The most common weighting or window function is the Hann window, commonly known as the Hanning window.

Figure 12-5 shows a dramatic increase in accuracy from the use of the Hann window. The accuracy as a function of the number of sine tone periods is improved from a first-order function to a third-order function. In other words, you can achieve 1 additional digit of accuracy for every 101/3 = 2.15 times more measurement time using the Hann window instead of 1 digit for every 10 times more measurement time without using a window. As in the non-windowing case, the DC level is 1.0 V and the single tone peak amplitude is 0.5 V.

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Chapter 12 DC/RMS Measurements

Figure 12-5. Digits vs Measurement Time for DC+Tone Using Hann Window

You can use other types of window functions to further reduce the necessary measurement time or greatly increase the resulting accuracy. Figure 12-6 shows that the Low Sidelobe (LSL) window can achieve more than six ENOD of worst accuracy when averaging your DC signal over only five periods of the sine tone (same test signal).

Figure 12-6. Digits vs Measurement Time for DC+Tone Using LSL Window

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LabVIEW Measurements Manual

Chapter 12 DC/RMS Measurements

RMS Measurements Using Windows

Like DC measurements, the worst ENOD for measuring the RMS level of signals sometimes can be significantly improved by applying a window to the signal before RMS integration. For example, if you measure the RMS level of the DC signal plus a single sine tone, the most accurate measurements are made when the measurement time is an integer number of periods of the sine tone. Figure 12-7 shows that the worst ENOD varies with measurement time (in periods of the sine tone) for various window functions. Here, the test signal contains 0.707 VDC with 1.0 V peak sine tone.

Figure 12-7. Digits vs Measurement Time for RMS Measurements

Applying the window to the signal increases RMS measurement accuracy significantly, but the improvement is not as large as in DC measurements. For this example, the LSL window achieves six digits of accuracy when the measurement time reaches eight periods of the sine tone.

Using Windows with Care

Window functions can be very useful to improve the speed of your measurement, but you must be careful. The Hann window is a general window recommended in most cases. Use more advanced windows like the LSL window only if you know enough about your signal that you are sure the window is not doing more damage than good. For example, you can significantly reduce RMS measurement accuracy if the signal you want to

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