Finding the Fourrier Coefficient

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SUMMARY

The discussion centers on finding the Fourier coefficients for the function m(t) = cos(200πt) + sin(50πt). Participants emphasize the importance of understanding Fourier series, which express functions as sums of sine and cosine terms. The calculation of Fourier coefficients for m(t) is straightforward since it is already in the required form. Users are encouraged to utilize online resources, particularly Wikipedia, for foundational knowledge and guidance on this topic.

PREREQUISITES
  • Understanding of Fourier series concepts
  • Familiarity with trigonometric functions
  • Basic knowledge of calculus
  • Ability to perform integration for coefficient calculation
NEXT STEPS
  • Research "Fourier series derivation" for a deeper understanding
  • Study "Fourier coefficient calculation methods" for practical application
  • Explore "power of a signal in Fourier analysis" to analyze m(t)
  • Review "applications of Fourier series in signal processing" for real-world context
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Students studying signal processing, mathematics enthusiasts, and anyone tasked with analyzing periodic functions using Fourier series.

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Homework Statement



the equation given is this one:

m(t)= cos(200[tex]\pi[/tex]t) + sin(50[tex]\pi[/tex]t)

Homework Equations



I need to find the Fourier coefficients for m(t), the power of m(t) and the min and max of m(t)

Fourier.jpg

The Attempt at a Solution



I tried to search online to find ways of determining the Fourier coefficients but I am really stuck. No lectures were given on that and our lecturer wants us to work it out still.

Anybody sees the light here? :cry:

Homework Statement

 
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hai it is better if you read about Fourier series. Many materials are there in internet. The basic idea is to express any function in terms of summation of sine and cosine terms and their integer harmonics.
In your problem the function itself is expressed as sum of cosine and a sine term. So the calculation of Fourier co-efficients is pretty much straight forward.
 
In summary, type "fourier coeffcients" in google. The first link is probably to wikipedia. Read it and give an attempt at the problem because anything less is just plain laziness.
 

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