Analog/RF IntgCkts

A RFIC designer's notes

Fourier series of a function $f(x)$ is

(1) $\begin{equation*} f(x) = a_o + \sum\limits_1^\infty [a_n cos(nx) + b_n sin(nx)] \end{equation*}$

where,
$a_o = {1 \over 2\pi}\int\limits_{-\pi}^{\pi} f(x) dx$

$a_n = {1 \over \pi} \int\limits_{-\pi}^{\pi} f(x)\cos(nx) dx$

$b_n = {1 \over \pi} \int\limits_{-\pi}^{\pi} f(x)\sin(nx) dx$