A three stage amplifier is to have an overall noise temperature no greater than 70 K. The overall gain of the amplifier is to be at least 45 dB. The amplifier is to be built by adding a low-noise first stage to an existing two-stage amplifier that has the gains and noise figures shown below. The stage number refer to locations in the new amplifier. Stage Power Gain Noise Figure 2 20 dB 3 dB 3 15 dB 6 dB a. What is the minimum gain in decibels that the first stage can have? b. Using the gain you calculated in part (a), calculate the maximum noise figure in decibels that the first stage can have. Express answer with two decimal places. c. Suppose the gain of the first stage could be increased by 3 dB without affecting its noise figure. What would be the effect on the noise temperature of the complete amplifier?

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A three stage amplifier is to have an overall noise temperature no greater than 7O K.
The overall gain of the amplifier is to be at least 45 dB. The amplifier is to be built by
adding a low-noise first stage to an existing two-stage amplifier that has the gains
and noise figures shown below. The stage number refer to locations in the new
amplifier.
Stage Power Gain Noise Figure
20 dB
3 dB
13
15 dB
6 dB
a. What is the minimum gain in decibels that the first stage can have?
b. Using the gain you calculated in part (a), calculate the maximum noise figure in
decibels that the first stage can have. Express answer with two decimal places.
c. Suppose the gain of the first stage could be increased by 3 dB without affecting its
noise figure. What would be the effect on the noise temperature of the complete
amplifier?
Transcribed Image Text:A three stage amplifier is to have an overall noise temperature no greater than 7O K. The overall gain of the amplifier is to be at least 45 dB. The amplifier is to be built by adding a low-noise first stage to an existing two-stage amplifier that has the gains and noise figures shown below. The stage number refer to locations in the new amplifier. Stage Power Gain Noise Figure 20 dB 3 dB 13 15 dB 6 dB a. What is the minimum gain in decibels that the first stage can have? b. Using the gain you calculated in part (a), calculate the maximum noise figure in decibels that the first stage can have. Express answer with two decimal places. c. Suppose the gain of the first stage could be increased by 3 dB without affecting its noise figure. What would be the effect on the noise temperature of the complete amplifier?
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