FFT and Resistor Noise Newbie Questions - PLEASE HELP

In summary: The FFT plot will give you a frequency domain representation of the voltage. The "Y" axis is voltage amplitude in volts per root-Hz. The "X" axis is time in seconds. The "Z" axis is frequency.- If you zoom in on the "Y" axis for a resolution of 1/3 Hz or less, you'll see the average voltage amplitude at 1/6 Hz or 1/sec intervals.
  • #1
jonlg_uk
141
0
Hi all. I have been recording the thermal noise produced by a number of resistors. I have created a excel sheet that takes the readings from the 8 1/2 DVM and performs a FFT on them, in order to give me the frequency domain plot. However I am not 100% certain of what I am seeing because of my limited understanding on this topic.


fft.jpg


Basically I am building a precision resistive divider that divides the high voltage produced by the power supply down to a measurable low voltage reading for the 8 1/2 DVM. My customer is requesting that the divider must perform suitably in order to allow the measurement of noise figures of less than 0.2ppm and drift of less than 1ppm/hour. THE "noise" I refer to is produced by the HV power supply. They basically want to measure the noise produced by this power supply.

Here is what I don't understand:

Say my high voltage power supply produced 10KV and my divider was had a ratio of 1:1000 then the output voltage of the divider would be 10V and 0.2ppm of 10V=2uV. So basically the divider needs to have a noise floor of less than 2uV. From the first plot the noise floor would correspond to the "thickness of the line" right? and the drift/hour would be the max-min of the voltage over a hour period, correct?

The other thing I don't understand is to do with the FFT plot. So the Y axis is measured in V/Root(Hz), say at 3Hz point on the FFT plot I see a noise value of ~0.2uV/Root Hz. Then does that mean that on the first plot (the time domain plot) if I was to zoom in of down to a resolution of BELOW 0.333seconds (1/3Hz) and measure all the points at say 6Hz (The Nyquist rate i.e. the minimum sampling rate required to avoid aliasing, equal to twice the highest frequency contained within the signal.) would I see average voltage amplitude of 0.2uV at 0.16666sec time intervals (1/6Hz) ? Would this mean that the divider is capable of being able to perform suitably in order to allow the measurement of noise figures of less than 0.2ppm, as the customer is asking for?

I basically want to know if the V/root(hz) seen on the frequency domain plot matches the raw voltage measurement seen on the time domain plot. What is the difference? and does the fact that I am reading ~0.2 uV/root(hz) on the frequency plot mean that the system is good for enabling noise measurement of less than 0.2ppm from the high voltage power supply?

I thank you all in advance


J
 
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  • #2
bumpity bump - please help
 
  • #3
Hi jonlg. Can you tell us a bit more about how the data was measured and sampled. What was the sample rate (was it uniform) and do you know the bandwidth of the measurement device.
 
  • #4
uart said:
Hi jonlg. Can you tell us a bit more about how the data was measured and sampled. What was the sample rate (was it uniform) and do you know the bandwidth of the measurement device.

Hi thanks for the reply. The data was measured using a 8 1/2 Digital Multi Meter, that sampled the output voltage of the resistive divider every 0.08 seconds, uniform over the duration of the measurement. This data is stored in the multi meters internal memory and sent to a PC at the end of the measurement. The bandwidth of the multi meter was ~6.1 Hz.


N.B The multi meter has a "Number of power cycle" (NPLC) function, that basically integrates the voltage signal to eliminate power line noise. In this instance the NPLC was set to 4, which dictates the cut off frequency of the multi meter as aresult the cut off frequency was 6.1Hz
 
  • #5
- You MUST measure the noise at 100 or 120 Hz (depending on your mains frequency). 6.1 Hz does not suffice.

- If your resistors are made of metal layer (not carbon!) their noise is essentially thermal, that is, very low. Even if the smaller resistor has 100 kohm its noise over 200 Hz will be 0.6 µV RMS.

- 8 1/2 digits make strictly no sense whatsoever. Use an oscilloscope in AC mode, possibly with a pre-amplifier, or use a spectrum analyzer (but check its low-frequency cutoff).

- The noise you're seeing presently comes very probably from the voltmeter. Try without the power supply.
 

1. What is FFT and how is it related to resistor noise?

FFT, or Fast Fourier Transform, is a mathematical algorithm used to convert a signal from its original domain (often time or space) to a representation in the frequency domain. It is commonly used in signal processing to analyze and filter signals. In the context of resistor noise, FFT can be used to analyze the frequency components of the noise generated by a resistor.

2. How is resistor noise measured?

Resistor noise is typically measured using an oscilloscope or a spectrum analyzer. The noise voltage is measured across the resistor and then FFT is used to analyze the frequency components of the noise. The results can then be compared to the expected noise level based on the resistor's specifications.

3. What factors contribute to resistor noise?

There are several factors that can contribute to resistor noise, including the material and construction of the resistor, temperature, and the level of current flowing through the resistor. Higher resistance values and higher temperatures can result in higher levels of noise.

4. How can I reduce resistor noise in my circuit?

There are several ways to reduce resistor noise in a circuit. One option is to use a resistor with a lower noise specification. Another option is to use multiple resistors in parallel, which can reduce the overall noise level. Additionally, using a bypass capacitor in parallel with the resistor can help filter out high-frequency noise.

5. Is resistor noise a significant issue in most circuits?

In most cases, resistor noise is not a significant issue in circuits. However, in certain applications such as precision measurement or low-noise amplifiers, resistor noise can have a noticeable impact on the overall performance of the circuit and must be carefully considered and minimized.

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