Calculating RMS of Fundamental Component for Unknown Periodic Input Signal

In summary, the conversation discusses the calculation of the RMS for the fundamental component of an unknown periodic input signal. The implication is that 50μs sampling is sufficient to accurately represent the waveform. The task is desired to be performed in software every 50μs timestep, with the limitation that the code must be executed to completion within that time frame. The source of the signal could be a simulated circuit or a control system. However, there is a contradiction in trying to calculate the RMS value in real-time for a signal with a longer period. Suggestions are made to redefine "real-time" and to use a low pass filter to calculate the fundamental component. It is also suggested to have the user provide the frequency of their signal for better
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If you don't know about the noise, then whatever you calculate may be completely meaningless.

Your simulation seems to assume that the signals are sinusoidal and of fixed frequency, which contradicts what you say about lack of knowledge about the signals.

I see don't see in the code where you are taking the mean (average) of the squares of all the samples in one or more whole cycles. RMS means square root of the MEAN of the squares. Did you understand that part?

You also never answered the question about what the application is. Please don't post again until you answer that.

Your earlier answer as to why fundamental component sounds bogus.

I think that you and perhaps the person giving you the requirements are in over your heads. You should hire an engineer to straighten it out. The purpose of this forum is not to read and debug your code.
 
<h2>1. What is the fundamental component of a periodic input signal?</h2><p>The fundamental component of a periodic input signal is the lowest frequency component that makes up the signal. It is also known as the first harmonic and has the highest amplitude among all the harmonics.</p><h2>2. How do you calculate the RMS of the fundamental component for an unknown periodic input signal?</h2><p>To calculate the RMS (Root Mean Square) of the fundamental component for an unknown periodic input signal, you need to first find the amplitude of the fundamental frequency. Then, square the amplitude and divide it by two. Finally, take the square root of the result to get the RMS value.</p><h2>3. What is the importance of calculating the RMS of the fundamental component for an unknown periodic input signal?</h2><p>The RMS value of the fundamental component is important because it gives an indication of the overall power or energy of the signal. It is also used to calculate the total harmonic distortion (THD) of a signal, which is a measure of how much the signal deviates from being purely sinusoidal.</p><h2>4. Can the RMS of the fundamental component be greater than the amplitude of the fundamental frequency?</h2><p>No, the RMS value of the fundamental component cannot be greater than the amplitude of the fundamental frequency. This is because the RMS value is calculated by taking the square root of the squared amplitude, which will always be equal to or less than the amplitude itself.</p><h2>5. Is there a specific formula for calculating the RMS of the fundamental component for an unknown periodic input signal?</h2><p>Yes, the formula for calculating the RMS of the fundamental component is: RMS = √(A<sub>1</sub><sup>2</sup>/2), where A<sub>1</sub> is the amplitude of the fundamental frequency.</p>

1. What is the fundamental component of a periodic input signal?

The fundamental component of a periodic input signal is the lowest frequency component that makes up the signal. It is also known as the first harmonic and has the highest amplitude among all the harmonics.

2. How do you calculate the RMS of the fundamental component for an unknown periodic input signal?

To calculate the RMS (Root Mean Square) of the fundamental component for an unknown periodic input signal, you need to first find the amplitude of the fundamental frequency. Then, square the amplitude and divide it by two. Finally, take the square root of the result to get the RMS value.

3. What is the importance of calculating the RMS of the fundamental component for an unknown periodic input signal?

The RMS value of the fundamental component is important because it gives an indication of the overall power or energy of the signal. It is also used to calculate the total harmonic distortion (THD) of a signal, which is a measure of how much the signal deviates from being purely sinusoidal.

4. Can the RMS of the fundamental component be greater than the amplitude of the fundamental frequency?

No, the RMS value of the fundamental component cannot be greater than the amplitude of the fundamental frequency. This is because the RMS value is calculated by taking the square root of the squared amplitude, which will always be equal to or less than the amplitude itself.

5. Is there a specific formula for calculating the RMS of the fundamental component for an unknown periodic input signal?

Yes, the formula for calculating the RMS of the fundamental component is: RMS = √(A12/2), where A1 is the amplitude of the fundamental frequency.

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