4.6 To generate wideband FM, we can first generate a narrowband FM signal, and then use frequency multiplication to spread the signal bandwidth. Figure P-4.6 illustrates such a scheme, which is called an Armstrong-type FM modulator. The narrowband FM signal has a maximum angular deviation of 0.10 radians to keep distortion under control. 1. If the message signal has a bandwidth of 15 kHz and the output frequency from the oscillator is 100 kHz, determine the frequency multiplication that is neces- sary to generate an FM signal at a carrier frequency of fe frequency deviation of f = 75 kHz. = 104 MHz and a

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4.6 To generate wideband FM, we can first generate a narrowband FM signal, and then
use frequency multiplication to spread the signal bandwidth. Figure P-4.6 illustrates
such a scheme, which is called an Armstrong-type FM modulator. The narrowband
FM signal has a maximum angular deviation of 0.10 radians to keep distortion under
control.
1. If the message signal has a bandwidth of 15 kHz and the output frequency from
the oscillator is 100 kHz, determine the frequency multiplication that is neces-
sary to generate an FM signal at a carrier frequency of fe
frequency deviation of f = 75 kHz.
=104 MHz and a
%3D
2. If the carrier frequency for the wideband FM signal is to be within +2 Hz, deter-
mine the maximum allowable drift of the 100 kHz oscillator.
Wideband FM signal
m(t)
Narrowband
FM modulator
Frequency
multipliers
f=D104 MHz
A cos (2nfot)
Frequency
multipliers
fo= 100 kHz
Figure P-4.6 Armstrong-type FM modulator.
Transcribed Image Text:4.6 To generate wideband FM, we can first generate a narrowband FM signal, and then use frequency multiplication to spread the signal bandwidth. Figure P-4.6 illustrates such a scheme, which is called an Armstrong-type FM modulator. The narrowband FM signal has a maximum angular deviation of 0.10 radians to keep distortion under control. 1. If the message signal has a bandwidth of 15 kHz and the output frequency from the oscillator is 100 kHz, determine the frequency multiplication that is neces- sary to generate an FM signal at a carrier frequency of fe frequency deviation of f = 75 kHz. =104 MHz and a %3D 2. If the carrier frequency for the wideband FM signal is to be within +2 Hz, deter- mine the maximum allowable drift of the 100 kHz oscillator. Wideband FM signal m(t) Narrowband FM modulator Frequency multipliers f=D104 MHz A cos (2nfot) Frequency multipliers fo= 100 kHz Figure P-4.6 Armstrong-type FM modulator.
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