Q2 (A) A frequency modulator is supplied with a carrier at frequency fc = 5 MHz and an audio tone signal of Am = 1 volt amplitude and frequency fm = 1 kHz. It produces a frequency deviation f of 10 kHz as the output of the frequency modulator. (3) (i) The FM waveform described above is passed through a frequency multiplier with a total multiplication factor of 18, that is, fout = 18*fc. After passing through the frequency multiplier, what is the frequency deviation f at the output? (ii) The output of the multiplier in part (a) is next input to a mixer stage with the LO oscillator frequency set at fLO = 55 MHz. Find the sum-frequency output fo of the mixer’s IF port and also find the magnitude of the frequency deviation f.

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Q2 (A) A frequency modulator is supplied with a carrier at frequency fc = 5 MHz and an audio tone signal of Am = 1 volt amplitude and frequency fm = 1 kHz. It produces a frequency deviation f of 10 kHz as the output of the frequency modulator. (3)
(i) The FM waveform described above is passed through a frequency multiplier with a total multiplication factor of 18, that is, fout = 18*fc. After passing through the frequency multiplier, what is the frequency deviation f at the output?
(ii) The output of the multiplier in part (a) is next input to a mixer stage with the LO oscillator frequency set at fLO = 55 MHz. Find the sum-frequency output fo of the mixer’s IF port and also find the magnitude of the frequency deviation f.

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