- #1
mbaron
- 6
- 0
I want to find the Fourier coefficients for the following signal:
[tex] \cos(2 \pi t)^2 [/tex]
Can I simply use the identity?:
[tex] \frac{1}{2} + \frac{\cos(2 \pi t)}{2} [/tex]
And then use the complex definition:
[tex] \frac{1}{2} + \frac{1}{4} (\exp{j2 \pi t} + \exp{-j2 \pi t}) [/tex]From the synthesis equation I can get:
[tex] a_0 = \frac{1}{2} [/tex], [tex] a_1 = \frac{3}{4} [/tex]
Thanks
[tex] \cos(2 \pi t)^2 [/tex]
Can I simply use the identity?:
[tex] \frac{1}{2} + \frac{\cos(2 \pi t)}{2} [/tex]
And then use the complex definition:
[tex] \frac{1}{2} + \frac{1}{4} (\exp{j2 \pi t} + \exp{-j2 \pi t}) [/tex]From the synthesis equation I can get:
[tex] a_0 = \frac{1}{2} [/tex], [tex] a_1 = \frac{3}{4} [/tex]
Thanks
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