ASN4 -Fourier Transform property

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Revision as of 23:43, 18 December 2009 by Jodi.Hodge (talk | contribs)
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Find [cos(2πf0t)g(t)]

Recall w0=2πf0, so

Using Euler's cosine identity cos(2πf0t)g(t)ej2πftdt=12[ej2πf0t+ej2πf0t]g(t)ej2πftdt

Now [cos(2πf0t)g(t)]=12ej2π(ff0)tg(t)dt+12ej2π(f+f0)tg(t)dt

So [cos(2πf0t)g(t)]=12[G(ff0)+G(f+f0)]