Q6. Figure Q6 shows a modulated waveform v(t) in microvolts as a function of time t in nanoseconds. 50 25 50 75 100 125 150 175 200 225 259. 40 40 30 30 20 20 10 10 -10 -10 -20 -20 -30 -30 -40 -40 -50 50 -50 250 25 75 100 125 150 175 200 225 time/ns Figure Q6: Modulated waveform (a) Describe the modulation scheme. (b) What are the values of the carrier frequency and the modulation frequency? (c) What is the value of the modulation index? voltage/uV

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Q6. Figure Q6 shows a modulated waveform v(t) in microvolts as a function of time t in
nanoseconds.
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time/ns
Figure Q6: Modulated waveform
(a) Describe the modulation scheme.
(b) What are the values of the carrier frequency and the modulation frequency?
(c) What is the value of the modulation index?
(d) What is the transmission efficiency (ratio of modulated to total power) in this example?
(e) Sketch the spectrum of this modulated waveform indicating the relative magnitudes of
the various spectral components.
(f) The modulating wave in this example is substituted with a square wave of 50% duty
cycle and of fundamental frequency 1.0 MHz. Sketch the absolute value of the spec-
trum of the modulated waveform indicating the frequencies and relative magnitudes
of the sideband components.
(g) Demodulation of this type of signal is usually accomplished using an envelope detector.
Describe the principles of operation of an envelope detector and sketch an example
circuit.
(h) What considerations should be made about the component values in the design of an
envelope detector for the detection of the waveform shown in fig. Q6?
voltage/uV
Transcribed Image Text:Q6. Figure Q6 shows a modulated waveform v(t) in microvolts as a function of time t in nanoseconds. 25 50 75 100 125 150 175 200 225 250 50 40 40 30 30 20 20 10 10 -10 -10 -20 -20 -30 -30 -40 -40 -50 -50 250 25 50 75 100 125 150 175 200 225 time/ns Figure Q6: Modulated waveform (a) Describe the modulation scheme. (b) What are the values of the carrier frequency and the modulation frequency? (c) What is the value of the modulation index? (d) What is the transmission efficiency (ratio of modulated to total power) in this example? (e) Sketch the spectrum of this modulated waveform indicating the relative magnitudes of the various spectral components. (f) The modulating wave in this example is substituted with a square wave of 50% duty cycle and of fundamental frequency 1.0 MHz. Sketch the absolute value of the spec- trum of the modulated waveform indicating the frequencies and relative magnitudes of the sideband components. (g) Demodulation of this type of signal is usually accomplished using an envelope detector. Describe the principles of operation of an envelope detector and sketch an example circuit. (h) What considerations should be made about the component values in the design of an envelope detector for the detection of the waveform shown in fig. Q6? voltage/uV
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