Homework Three: Difference between revisions

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Revision as of 17:49, 14 October 2009

October 5th, 2009, class notes (as interpreted by Nick Christman)


The topic covered in class on October 5th was about how to deal with signals that are not periodic.

Given the following fourier series, what if the signal is not periodic?

x(t)=x(t+T)=n=αnej2πntT where αn=1TT2T2x(t)ej2πntTdt

To investigate this potential disaster, let's look at what happens as the period increases (i.e. not periodic). Essentially, as T we can say the following:

1T

df

nT

f

n=11T

infty( )df


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