Q3. a) A periodic waveform is defined by 3 (ii) T (-3 1/ st

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Q3.
a)
A periodic waveform is defined by
3
(ii)
T
(-3 1/ st<T
with f(t +mT) = f(t) and m is an integer.
(iii)
f(t) =
(iv)
T
0st <2
Derive the formulae for the real Fourier coefficients an and bn for f(t).
Write down the real Fourier series for f(t), including the first five non-
zero terms.
Sketch the coefficient spectrum of f(t) (plot b, against n, including the
components up to n = 5), labelling the axes.
Transcribed Image Text:Q3. a) A periodic waveform is defined by 3 (ii) T (-3 1/ st<T with f(t +mT) = f(t) and m is an integer. (iii) f(t) = (iv) T 0st <2 Derive the formulae for the real Fourier coefficients an and bn for f(t). Write down the real Fourier series for f(t), including the first five non- zero terms. Sketch the coefficient spectrum of f(t) (plot b, against n, including the components up to n = 5), labelling the axes.