Example 1.2

Find the trigonometrical Fourier series expansion for the following waveform:

  

Solution

The general expression for the trigonometrical Fourier series expansion of a function x(t) is given by:

where

It is interesting to note that all of the Fourier series components for a train of pulses (data bits) with width t (except for the dc component) are bounded by the sinc(nt / T) envelope.