Q.2 (a) A system as presented in Figure Q2(a) has four input signals, which are m(t), n(t), p(t) and q(t). The inputs are m(t) = 2 sin(2t), n(t) = 3-4 sin(5t - π), p(t) = 6 cos(7t + r) and q (t) = 4 cos(7t + π). n(t) m(t)- + p(t)+) + q(t) Figure Q2(a) r(t) (i) Represent r(t) using Fourier series in the combined Trigonometric form. (ii) Illustrate the single-sided frequency spectrum (magnitude and phase) of r(t).

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Q.2 (a) A system as presented in Figure Q2(a) has four input signals, which are
m(t), n(t),p(t) and q(t). The inputs are m(t) = 2 sin(2t), n(t) = 3-4 sin(5t - π),
p(t) = 6 cos (7t + r) and q (t) = 4 cos(7t + π).
n(t)
m(t)+
p(t)+
+
q(t)
Figure Q2(a)
r(t)
(i) Represent r(t) using Fourier series in the combined Trigonometric form.
(ii) Illustrate the single-sided frequency spectrum (magnitude and phase) of r(t).
Transcribed Image Text:Q.2 (a) A system as presented in Figure Q2(a) has four input signals, which are m(t), n(t),p(t) and q(t). The inputs are m(t) = 2 sin(2t), n(t) = 3-4 sin(5t - π), p(t) = 6 cos (7t + r) and q (t) = 4 cos(7t + π). n(t) m(t)+ p(t)+ + q(t) Figure Q2(a) r(t) (i) Represent r(t) using Fourier series in the combined Trigonometric form. (ii) Illustrate the single-sided frequency spectrum (magnitude and phase) of r(t).
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