Discretion and harmonic amplitude

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Discussion Overview

The discussion revolves around the relationship between the Discrete Fourier Transform (DFT) and harmonic amplitude, specifically how to calculate and plot harmonic amplitudes using DFT results. Participants are exploring the application of DFT in analyzing harmonic frequencies and the subsequent steps needed to visualize the results.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant inquires about the process of finding harmonic amplitude after performing DFT, indicating uncertainty about the next steps.
  • Several participants mention that the DFT provides two amplitude components (cosine and sine), and the total amplitude can be calculated as the root of the sum of squares of these components.
  • There is a repeated emphasis on the need to plot the amplitude, with questions about how to visualize a single amplitude value in a graph.
  • One participant expresses skepticism about the correctness of an Excel spreadsheet used for calculations, suggesting that the DFT should be calculated for each k value according to a specified formula.
  • Another participant questions the specific frequency associated with the calculated amplitude and seeks clarification on related parameters in the context of the discussion.

Areas of Agreement / Disagreement

Participants express differing views on the correctness of the calculations and the interpretation of the results. There is no consensus on the proper method for plotting the amplitude or the implications of the calculated values.

Contextual Notes

Some participants reference specific values and formulas without fully clarifying the assumptions or definitions involved, leading to potential misunderstandings about the calculations and their applications.

MissP.25_5
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What's the relationship between DFT and harmonic amplitude? How do I find the harmonic amplitude using discrete Fourier transform? Here's what I have done so far. "harm.freq" is harmonic frequency here.
I have done the DFT calculation and now what? Aftet I have performed DFT, how do I find the amplitude of the harmonic wave? Below on post #6 is the formula and I have to plot the graph using excel based on the table given.
 

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The following summary addresses how:

http://www.fpv.umb.sk/kat/kf/Integrovana_prirodoveda/TG/Zvuk/Zvuk_kmitanie/www.me.psu.edu/me82/Learning/FFT/FFT.html
 
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njoysci said:
The following summary addresses how:

http://www.fpv.umb.sk/kat/kf/Integrovana_prirodoveda/TG/Zvuk/Zvuk_kmitanie/www.me.psu.edu/me82/Learning/FFT/FFT.html

I have read the whole thing but it doesn't show how to calculate the amplitude.
 
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Where did you do the DFT?
What is the relation between t and frequency?
The DFT gives two amplitude components for the cos and sin contribution, the total amplitude is just the root of the sum of squares of both.
 
mfb said:
Where did you do the DFT?
What is the relation between t and frequency?
The DFT gives two amplitude components for the cos and sin contribution, the total amplitude is just the root of the sum of squares of both.

That's the formula I used and the calculation is done with excel. Look at the cell O6, that's the value after DFT. I am required to use this formula and I have to plot a graph based on this table given.
 

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mfb said:
Where did you do the DFT?
What is the relation between t and frequency?
The DFT gives two amplitude components for the cos and sin contribution, the total amplitude is just the root of the sum of squares of both.

That's why I did, in the cell where I wrote "discretized" in cell O6, is the root of the sum of squares of both cos and sin contribution . The DFT is 3.030972661. Now how can I plot the amplitude? If that number is the amplitude, then how come I can plot a graph if it's only ONE number? Please look at my reply above this post.
 
The amplitude for a specific frequency is a single number. For every frequency, you should get such a number.
 
mfb said:
The amplitude for a specific frequency is a single number. For every frequency, you should get such a number.

Ok, so the 3.030972661 is the amplitude for what frequency? 50hz I suppose? And what is the table with α,β and k for?
 
your excel spreadsheet is incorrect
you should be calculating a DFT (which is the harmonic amplitude) for each k value per the formula they told you to use
the α,β values were used to determine the applicable k values they wanted you to use evidentally (which i am very skeptical of initially, but i'll trust you on this that that is what the teacher wants you to do)
 

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