(a) Determine whether the functions given can be represented by a Fourier series.
(i) x(t) = cos (3t) + sin(5t)
(ii) x(t) = cos (t) + sin(πt)
(iii) x(t) = cos (2t) + sin (4t) + ej8t
(iv) x(t) = 2 cos (4t + 30°) – 5 cos (6t – 45°)
(v) x(t) = |6 cos (4πt) |
(b) For those signals in Part (a) that can be represented by a Fourier series, find the coefficients of all harmonics, expressed in exponential form.
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