Homework Two: Difference between revisions

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The main thing that I have learned in Signals & Systems is that the Fourier Series <math>\sum_{n=1}^{\infty} a_n \cos \frac{2n\pi t}{T} </math> can be describe in a vector space, <math>\vec{x}</math>.
The main thing that I have learned in Signals & Systems is that the Fourier Series <math>\sum_{n=1}^{\infty} a_n \cos \frac{2n\pi t}{T} </math> can be describe in a vector space, <math>\vec{x}</math>.


I have also learned that <math>e^{\frac{j2 \pi (n-m)t}{T}}</math> is '''very''' important because it is the eigenvector to '''everything''' that is time-invariant. (I believe I said that correctly.)
I have also learned that <math>e^{\frac{j2 \pi (n-m)t}{T}}</math> is '''very''' important because it is the eigenvector for every linear time invariant system.


(edited 10/15/2009)
Actually it is the eigenvector for every linear time invariant system.


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Revision as of 16:19, 14 October 2009

Something I have learned in class so far...



The main thing that I have learned in Signals & Systems is that the Fourier Series can be describe in a vector space, .

I have also learned that is very important because it is the eigenvector for every linear time invariant system.

(edited 10/15/2009)


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