Revision as of 13:23, 26 September 2008 by Willi155 (Talk)

The function y(t) in this example is the periodic continuous-time signal cos(x) such that

$ y(t) = \ cos(x) $

where cos(x) can be expressed by the Maclaurin series expansion

$ \ cos(x) = \sum_{n=0}^\infty \left (-1 \right )^n \frac{b^{2n}}{ \left(2n \right )!} $

where its Fourier series coefficients are described by the equation

$ \left ( \frac{1}{jk\omega_0} \right )a_k = \left ( \frac{1}{jk \left (2\pi/T \right)} \right )a_k $

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