Experiment 3 Fourier Synthesis of Periodic Waveforms

Part A

A.1) Provide the Matlab code required to synthesise the waveform in equation 12 and the resulting waveform.

A.2) Explain the features of the resulting waveform (peak-to-peak amplitude, symmetry, ripple, etc.)

A.3) How do you think the waveform would look if an unlimited number of harmonics was available (i.e. n goes to ∞)? To support your answer, provide a couple of figures along with their associated code.

A.4) Referring to Equation 3, what is the value of ao?

A.5) Find an expression (in terms of n) for an and bn

A.6) Plot the spectrum (frequency domain view) of f(t) using cn = Ö(an2 + bn2). Provide the figure and the Matlab code used to obtain it (you can use the stem function from Matlab to plot the frequency components).