Does RMS(f1) +RMS(F2) = RMS(F1+F2)?

  • Thread starter lennybogzy
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In summary, determining the RMS of a non-periodic waveform requires finding the average rates through methods such as frequency counting. This is because the waveform is not steady at a microscopic level and therefore cannot be accurately measured with just one cycle.
  • #1
lennybogzy
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If I hava non periodic waveform and I divide it into 3 cycles is taking the RMS of each cycle and averaging the same thing as taking the RMS of all 3 cycles at once?
 
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  • #2
In general this is not true.

Let f1(t)=1 and and f2(t)=-1

rms(f1)=1
rms(f2)=1
rms(f1+f2)=0
 
  • #3
Just out of curiosity, if the signal is non-periodic, how did you determine how big a cycle is?
 
  • #4
If it is non periodic, you need to find the average rates to do RMS calculation. That is if you have a random pulses, you need to use a frequency counter and find the pulse rate, then you can use the amplitude to get the RMS amplitude.

I did a lot of pulse counting work, they are random, just like current, it is not steady in microscopic level, we say it is 1A only because in average there are so many electrons part a point per second and we use that as the average current...Yes, current is a stream of electrons passing in a random rate.
 

1. What is RMS and how is it calculated?

RMS stands for Root Mean Square and it is a mathematical measure of the average magnitude of a set of values. It is calculated by taking the square root of the sum of squared values divided by the total number of values.

2. What are f1 and f2 in the equation RMS(f1) + RMS(f2) = RMS(f1+f2)?

f1 and f2 refer to two different sets of values that are being combined in the equation. They can represent any type of data, such as sound waves or electrical signals.

3. How is the RMS of two sets of values calculated?

The RMS of two sets of values is calculated by first finding the RMS of each set separately. Then, the RMS values are added together and the square root is taken to find the final RMS value.

4. Can the RMS of two sets of values ever be greater than the sum of their individual RMS values?

No, the RMS of two sets of values will always be equal to or less than the sum of their individual RMS values. This is because the RMS value is a measure of the average magnitude, and when two sets of values are combined, the average magnitude will not increase without any additional values.

5. Why is it important to calculate the RMS of combined sets of values?

Calculating the RMS of combined sets of values is important because it gives us a measure of the overall magnitude or power of the combined values. This can be useful in various fields such as signal processing, audio engineering, and data analysis.

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