2.37 Figure P2.37 shows the block diagram of a wideband frequency modulator using the indirect method. This modulator is used to transmit audio signals containing frequencies in the range of 100 Hz to 15 kHz. The narrowband phase modulator is supplied with a carrier of frequency fi 0.1 MHz by a crystal-controlled oscillator. A second crystal- controlled oscillator supplies a sinusoidal wave of frequency 9.5 MHz to the mixer. The system specifications are as follows: Carrier frequency at the transmitter output, f. 100 MHz Minimum frequency deviation, Af = 75 kHz y Maximum modulation index in the phase modulator = 0.3 radians (a) Calculate the frequency multiplication ratios n, and nz (preceding and following the mixer), which will satisfy these specifications. (b) Specify the values of the carrier frequency and frequency deviation at the various points in the modulator of Figure P2.37. %3D Baseband signal Narrowband phase- modulator Frequency multiplier Frequency multiplier FM signal Mixer Integrator A - 0.1 MHz f=9.5 MHz Crystal- controlled oscillator Crystal- controlled oscillator

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2.37 Figure P2.37 shows the block diagram of a wideband frequency modulator using the
indirect method. This modulator is used to transmit audio signals containing frequencis
in the range of 100 Hz to 15 kHz. The narrowband phase modulator is supplied with a
carrier of frequency fa 0.1 MHz by a crystal-controlled oscillator. A second crystal-
controlled oscillator supplies a sinusoidal wave of frequency 9.5 MHz to the mixer. The
system specifications are as follows:
Carrier frequency at the transmitter output, f. - 100 MHz
Minimum frequency deviation, Af = 75 kHz ny
Maximum modulation index in the phase modulator =
(a) Calculate the frequency multiplication ratios nh and nz (preceding and following the
mixer), which will satisfy these specifications.
(b) Specify the values of the carrier frequency and frequency deviation at the various
points in the modulator of Figure P2.37.
0.3 radians
Narrowband
phase-
modulator
Frequency
multiplier
Frequency
multiplier
FM
Baseband
Integrator
Mixer
signal
signal
A-0.1 MHz
= 9.5 MHz
Crystal-
controlled
oscillator
Crystal-
controlled
oscillator
FIGURE P2.37
Transcribed Image Text:2.37 Figure P2.37 shows the block diagram of a wideband frequency modulator using the indirect method. This modulator is used to transmit audio signals containing frequencis in the range of 100 Hz to 15 kHz. The narrowband phase modulator is supplied with a carrier of frequency fa 0.1 MHz by a crystal-controlled oscillator. A second crystal- controlled oscillator supplies a sinusoidal wave of frequency 9.5 MHz to the mixer. The system specifications are as follows: Carrier frequency at the transmitter output, f. - 100 MHz Minimum frequency deviation, Af = 75 kHz ny Maximum modulation index in the phase modulator = (a) Calculate the frequency multiplication ratios nh and nz (preceding and following the mixer), which will satisfy these specifications. (b) Specify the values of the carrier frequency and frequency deviation at the various points in the modulator of Figure P2.37. 0.3 radians Narrowband phase- modulator Frequency multiplier Frequency multiplier FM Baseband Integrator Mixer signal signal A-0.1 MHz = 9.5 MHz Crystal- controlled oscillator Crystal- controlled oscillator FIGURE P2.37
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