I want to find the Fourier coefficients for the following signal:(adsbygoogle = window.adsbygoogle || []).push({});

[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

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Fourier representation of CT peridic signals

**Physics Forums | Science Articles, Homework Help, Discussion**