Consider an AM broadcast receiver and an FM broadcast receiver, both with the same noise figure and the same received RF signal power. Which one will have the lowest variable thermal noise power at the output if the 800 Hz sinusoidal test signal with a level of 0 dBmO produces a modulation index m = 1 in the AM system and a frequency deviation of Af = 75 kHz in the FM system. What is the advantage, in dB, of the better-performing system over the other? DATA: k = Boltzmann constant = 1.38 x 10 -23 J/K T = absolute temperature (consider T = 300 K) AM broadcasting system: Amplitude modulation index: m ≤ 100%. Baseband bandwidth: bAM = 5 kHz FM broadcast system (75 μs pre-emphasis/de-emphasis): Frequency deviation: Af ≤ 75 kHz Baseband bandwidth: bFM≈ 15 kHz Preemphasis/deemphasis improvement factor: E = 10log(e) = 12.6 dB

Power System Analysis and Design (MindTap Course List)
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Chapter13: Transmission Lines: Transient Operation
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Consider an AM broadcast receiver and an FM broadcast receiver, both with the same noise figure and the same
received RF signal power. Which one will have the lowest variable thermal noise power at the output
if the 800 Hz sinusoidal test signal with a level of 0 dBmO produces a modulation index m = 1 in the
AM system and a frequency deviation of Af = 75 kHz in the FM system. What is the advantage, in dB, of
the better-performing system over the other?
DATA:
k = Boltzmann constant = 1.38 x 10 -23 J/K
T = absolute temperature (consider T = 300 K)
AM broadcasting system:
Amplitude modulation index: m ≤ 100%.
Baseband bandwidth: bAM = 5 kHz
FM broadcast system (75 μs pre-emphasis/de-emphasis):
Frequency deviation: Af ≤ 75 kHz
Baseband bandwidth: bFM≈ 15 kHz
Preemphasis/deemphasis improvement factor: E = 10log(e) = 12.6 dB
Transcribed Image Text:Consider an AM broadcast receiver and an FM broadcast receiver, both with the same noise figure and the same received RF signal power. Which one will have the lowest variable thermal noise power at the output if the 800 Hz sinusoidal test signal with a level of 0 dBmO produces a modulation index m = 1 in the AM system and a frequency deviation of Af = 75 kHz in the FM system. What is the advantage, in dB, of the better-performing system over the other? DATA: k = Boltzmann constant = 1.38 x 10 -23 J/K T = absolute temperature (consider T = 300 K) AM broadcasting system: Amplitude modulation index: m ≤ 100%. Baseband bandwidth: bAM = 5 kHz FM broadcast system (75 μs pre-emphasis/de-emphasis): Frequency deviation: Af ≤ 75 kHz Baseband bandwidth: bFM≈ 15 kHz Preemphasis/deemphasis improvement factor: E = 10log(e) = 12.6 dB
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