Find Fourier Series Coefficients

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To find the Fourier series coefficients for an alternating sawtooth pulse signal defined from t = -3 to 3, one must compute the coefficients a[k], b[k], and x[k], simplifying for both odd and even k. The signal power in the fundamental component and up to the fourth harmonic should also be calculated, along with the total signal power. The relevant equation for Fourier series coefficients involves integrating the product of the signal and sine or cosine functions. Students are advised to refer to their textbooks for the specific integral formulas related to Fourier series. Understanding the constant Fourier coefficient, which represents the mean value of the function, is essential for this analysis.
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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.
 

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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:

<br /> \int f(t) \cdot \sin(\frac{2 \pi}{T}t) \ dt<br />

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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