Find Fourier Series Coefficients

[rajtomar219]

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.

 

[Redbelly98]

There is an equation for calculating Fourier series coefficients. You should be able to find it in either your textbook or class notes.

 

[rajtomar219]

i am weak student so I am not able to find out so plese help

 

[Redbelly98]

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:

$$\int f(t) \cdot \sin(\frac{2 \pi}{T}t) \ dt$$

or a similar expression with cos instead of sin.

Please look in your book, wherever it begins discussing Fourier series.

 

[Defennder]

Just scan the book for the terms "fourier series coefficients".

 

[kmw288]

Thanks for the great explanation... On where it might be in a textbook. ***

 

[JANm]

For a start what is the constant Fourier coefficient: what is the mean value of the function?