Question

B.1) Write f(t) in Fourier synthesis form, i.e. as in Equation 2.

B.2) Calculate the first 10 sinewave coefficients (i.e. b1, b2, … , b10

B.3) Synthesise the first 10 harmonics of this waveform and plot the result (provide your Matlab code as well).

B.4) Plot in the same figure the original and synthesised sawtooth waveforms (provide your Matlab code). Compare the resulting waveform with what you expected to see and discuss the results.

B.5) If the number of harmonics is reduced to 5, comment on the changes that will be observed practically.