Consider the Fourier series for the periodic functions given.
(i) x(t) = sin 4t + cos 8t + 7 + cos 16t
(ii) x(t) = cos2t
(iii) x(t) = 3 + 5 cos t + 6 sin (2t + π/4)
(iv) x(t) = –10 + 3 cos (t) + 7 sin (4.5t)
(v) x(t) = 110 cos (377t)
(vi) x(t) = 4(cos 2t) (sin 4t)
(vii) x(t) = 4 sin2(4t) + cos (16t)
(a) Find the Fourier coefficients of the exponential form for each signal.
(b) Find the Fourier coefficients of the combined trigonometric form for each signal.
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