Basics in Systems and Circuits Theory
Trigonometric Fourier Series (1)
• The Fourier series of a periodic function f(t) is a
representation that resolves f(t) into a dc component and
an ac component comprising an infinite series of harmonic
sinusoids.
• Given a periodic function f(t) = f(t+nT) where n is an
integer and T is the period of the function.
∞
f (t ) = a0 + ∑ (a0 cos nω0t + bn sin nω0t )
 n =1
dc



ac
where ω0=2π/T is called the fundamental frequency in
radians per second.
Michael E.Auer
01.11.2011
BSC04