Find Fourier Series Coefficients

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Discussion Overview

The discussion revolves around finding the Fourier series coefficients for a specific signal described as an alternating sawtooth pulse. Participants are asked to compute various coefficients, signal power in different components, and provide assistance to a participant struggling with the calculations.

Discussion Character

  • Homework-related
  • Technical explanation

Main Points Raised

  • One participant requests assistance in finding the Fourier series coefficients for a sawtooth pulse signal defined over a specific interval.
  • Another participant suggests that the equation for calculating Fourier series coefficients can be found in textbooks or class notes, indicating it involves an integral.
  • A further reply emphasizes looking for the integral form involving sine or cosine functions in the context of Fourier series.
  • One participant expresses difficulty in locating the relevant information in their textbook and seeks help.
  • Another participant suggests scanning the textbook for the term "fourier series coefficients" to find the necessary information.
  • A later post asks about the constant Fourier coefficient and the mean value of the function, indicating a focus on foundational concepts.

Areas of Agreement / Disagreement

Participants generally agree on the need to refer to textbooks for foundational equations related to Fourier series, but there is no consensus on the specific calculations or methods to be used for the given signal.

Contextual Notes

Participants have not provided specific details about the assumptions or definitions related to the signal, nor have they resolved the mathematical steps required for the calculations.

Who May Find This Useful

This discussion may be useful for students seeking help with Fourier series, particularly those struggling with textbook resources or foundational concepts in signal processing.

rajtomar219
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1. Find Fourier Series Coefficient for a signal. (alternanate sawtooth pulse from t= -3 to 3 amplitude 1 on positivwe side and-1 on negative side. 3 pulse on positive side. 3 pulse on negative side. pulse width is 1.) as given in attachment file.


2. Compute the Fourier series coefficients a[/k], b[/k], and x[k]. Simplify for odd K aand even K.

3. Compute the signal Power in the fundamental component.

4. Compute the signal Power upto the fourth harmonic.

5. Compute the total signal Power.
 

Attachments

  • signal.GIF
    signal.GIF
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There is an equation for calculating Fourier series coefficients. You should be able to find it in either your textbook or class notes.
 
i am weak student so I am not able to find out so plese help
 
The equation will be near the beginning of wherever your textbook first begins discussing Fourier series. It involves doing an integral -- if f(t) is the signal, look for something sort of like this in the equation:

[tex] \int f(t) \cdot \sin(\frac{2 \pi}{T}t) \ dt[/tex]

or a similar expression with cos instead of sin.

Please look in your book, wherever it begins discussing Fourier series.
 
Just scan the book for the terms "fourier series coefficients".
 
Thanks for the great explanation... On where it might be in a textbook. ***
 
For a start what is the constant Fourier coefficient: what is the mean value of the function?
 

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