Studieboek C - Numerical Questions
4 important questions on Studieboek C - Numerical Questions
Plot the amplitude spectrum |M (ω)| of m(t) = Am*cos(ωm*t).
Using cos(ωmt) ↔ π[δ(ω − ωm) + δ(ω + ωm)]:
M (ω) = Amπ[δ(ω − ωm) + δ(ω + ωm)]
Plot the amplitude spectrum |M (f )| of m(t) = Am cos(2πfmt)
M (f ) = Am/2 * [δ(f − fm) + δ(f + fm) ![]()
Using cos(2πfmt) ↔ 1/2 [δ(f − fm) + δ(f + fm)]:
M (f ) = Am/2 [δ(f − fm) + δ(f + fm)]
An AM waveform displayed on an oscilloscope shows Amax = 4.8 V and Amin = 2.5 V
(Figure 2). What is the modulation index (as a percentage)![]()
μ = (Amax − Amin)/(Amax + Amin) = (4.8 − 2.5)/(4.8 + 2.5) = 2.3/7.3 ≈ 31.5%
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An AM transmitter operating at 3.9 MHz is modulated by audio frequencies up to 4 kHz.
(a) What are the upper and lower side frequencies?
(b) What is the total bandwidth of the AM signal
a) f_USB = 3900 + 4 = 3904 kHz; fLSB = 3900 − 4 = 3896 kHz.
(b) BW = 2fm = 2 × 4 kHz = 8 kHz
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