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Module 1: Analog Modulation

20247m

A carrier signal c(t) = 10cos(2π x 10^6t) is amplitude modulated by a message signal m(t)= 5 cos(2πx10^3t). Determine the modulation index and sketch the frequency spectrum.

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Answer

Given c=10cos⁡2π106tc=10\cos2\pi10^6t, m=5cos⁡2π103tm=5\cos2\pi10^3t, Am=5A_m=5, Ac=10A_c=10, μ=Am/Ac=0.5\mu=A_m/A_c=0.5 (50%). Envelope Ac[1+0.5cos⁡ωmt]A_c[1+0.5\cos\omega_m t] max15 min5. Pc=50P_c=50W, PSB=6.25P_{SB}=6.25W total.

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