An audio signal whose mathematical description is m(t) = 20 cos(2л × 1000t) modulates a carrier described as sc(t) = 60 сos (2π × 150000t). a) Determine the modulation index and percentage of modulation. b) Derive the mathematical expression of the modulated waveform showing the carrier band and sidebands, if Full AM modulation scheme is used. c) Sketch the time domain modulated waveform and its equivalent frequency domain magnitude spectrum showing all spectral amplitudes, if Full AM modulation scheme is used.

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An audio signal whose mathematical description is m(t) = 20 cos(2π × 1000t) modulates a
carrier described as sc(t) = 60 сos(2π × 150000t).
a) Determine the modulation index and percentage of modulation.
b) Derive the mathematical expression of the modulated waveform showing the carrier
band and sidebands, if Full AM modulation scheme is used.
c) Sketch the time domain modulated waveform and its equivalent frequency domain
magnitude spectrum showing all spectral amplitudes, if Full AM modulation scheme is
used.
d) Give the values of frequencies that would show up in the spectrum if the modulated
waveform is a DSB-SC signal.
Transcribed Image Text:An audio signal whose mathematical description is m(t) = 20 cos(2π × 1000t) modulates a carrier described as sc(t) = 60 сos(2π × 150000t). a) Determine the modulation index and percentage of modulation. b) Derive the mathematical expression of the modulated waveform showing the carrier band and sidebands, if Full AM modulation scheme is used. c) Sketch the time domain modulated waveform and its equivalent frequency domain magnitude spectrum showing all spectral amplitudes, if Full AM modulation scheme is used. d) Give the values of frequencies that would show up in the spectrum if the modulated waveform is a DSB-SC signal.
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