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 fes frequency deviation of f 75 kHz. = 104 MHz and a 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. m(t) Narrowband FM modulator Frequency multipliers Wideband FM signal f = 104 MHz A cos (2nfol) Frequency multipliers fo = 100 kHz

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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 = 104 MHz and a
frequency deviation of f = 75 kHz.
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
Frequency
multipliers
m()
Narrowband
FM modulator
f=104 MHz
A cos (2nfpt)
Frequency
multipliers
fo = 100 kHz
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 = 104 MHz and a frequency deviation of f = 75 kHz. 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 Frequency multipliers m() Narrowband FM modulator f=104 MHz A cos (2nfpt) Frequency multipliers fo = 100 kHz
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