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