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# System prepended metadata

title: ASSIGNMENT 2

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# ASSIGNMENT 2
# ME 649A

Q.1 Find the Fourier series of the following functions:-
a) f(x) = $x^2$  (0 < x < $2\pi$)
b) ![](https://i.imgur.com/ipSG77y.png)

Q.2 A sinusoidal voltage E $sin$($\omega$$t$), where $t$ is time, is passed through a half-wave rectifier that clips the negative portion of the wave.Find the Fourier series of the resulting periodic function.
![](https://i.imgur.com/2dV22nj.png)


Q.3 Find the Fourier transform of f($x$) = $e^{-ax}$ if $x$ > 0 and f($x$) =0 if $x$ < 0, assume $a$ >0.

Q.4 Find the Discrete Fourier transform (the frequency spectrum) of a general signal of two values $[f_1$  $f_2]^T$









