Q2) [40p] Given the following message and carrier signal $m(t) = \cos 2000\pi t + 2\cos 6000\pi t + \cos 10000\pi t$ $c(t) = 20 \cos 320000\pi t$ a) Determine the Hilbert transform of $m(t)$. b) Determine the Single Side Band (SSB) AM signal $u_{SSB}(t)$ which uses upper sideband. c) Plot the spectrum $U_{SSB}(f)$ of $u_{SSB}(t)$.
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The Hilbert transform replaces the cosine terms with sine terms and vice-versa. Therefore, the Hilbert transform of $m(t)$ is: $\hat{m}(t) = \sin 2000\pi t + 2\sin 6000\pi t + \sin 10000\pi t$ Show more…
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