Reference no: EM132594869
Question 1: when vbv(t) = v1(t) cos ωct + v2(t) cos (ωct + α) obtain expressions for vi(t), va(t), A(t) and Φ(t)
Question 2: The multi-tone information signal x(t)=3K(cos8Πt+2cos20Πt) is input to an AM transmitter with the modulation index μ=1 and the carrier frequency fc=1000 Hz. Find K so that x(t) is properly normalised, draw the positive-frequency line spectrum of the modulated signal, and calculate the sideband power to transmission power ratio 2Psb/ST.
Question 3: The signal x(t) = cos 2Π40t + 1/2 cos 2Π90t is transmitted using DSB. Sketch the positive-frequency line spectrum.
Question 4: The signal x(t) = 1/2 cos 2Π70t + 1/3 cos 2Π120t is input to the square-law. modulator system given in Fig. 4.3-3a with a carrier frequency of 10 kHz. Assume vout = a1vin + a2vin2
(a) Give the center frequency and bandwidth of the filter such that this system will produce a standard AM signal, and.
(b) determine values of a1 and a2 such that A, = 10 and μ = 1.
Question 5:
Take the transform of Eq. (4)
xc(t) = 1/2 Ac [x(t) cosωct] + x (t) sin ωct]
to obtain the SSB spectrum
Xc(f) = 1/4 Ac{Ac{ 1 ± sgn(f -fc)
+ [ 1 ± sgn(f + fc)]X(f + fc)}.
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