Homework Six: Difference between revisions
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[[Nick Christman|<b><u>Nick Christman</u></b>]]<br/> |
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Revision as of 15:05, 31 October 2009
Perform the following tasks:
(a) Show
(b)If can you find in terms of ?
(c) Do another property on the Wiki and get it reviewed (i.e. review a second property) -- Fourier Transform Properties
Find
-- Using the above definition of complex modulation and the definition from class of a time delay (a.k.a "the slacker function"), I will attempt to show a hybrid of the two...
By definition we know that:
Rearranging terms we get:
Now lets make the substitution .
This leads us to:
After some simplification and rearranging terms, we get:
Rearranging the terms yet again, we get:
We know that the exponential in terms of is simply a constant and because of the Fourier Property of complex modualtion, we finally get: