New to the forums need some help with signal analysis

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stefan1988
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Im taking This class EEL3135 and I am very lost and confused as to how to study or where to find resources to understand the material.

does anybody know of a good website for beginner signal analysis? or a good reference ebook etc to help me out with it? the ones i seen are far too advanced and complicated for the stuff we doing.


Homework Statement


here is the problem I am looking at.
a.Determine a formula for x(t) as the real part of a sum of complex exponentials.
b.what is the fundamental period for x(t)
c.plot the spectrum for x(t)
X(T)=sin^3(27PI t)


Homework Equations


euler inverse cosθ=(e^θ+e^θ)/(2) i don't really understand why we use this formula

The Attempt at a Solution



i started for first expansion i got
(-e^54pit)/4 +0.5+(e^-54pit)/4

after third expansion i got
(-e^81pit)/(8j)+(3e^27pit/8j)+(-3e^27pit)/(8j)+ (-e^81pit/8j)

is there an easier way to do this than big expansion?
 
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sorry for the late reply. thanks for the links =D
 
when a cosine random variable function and a noise signal are convolved the result is a random variable..but will it be a guassian function