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# Solution: Calculate the maximum noise figure (in dB) that the first stage can have

#### Problem Statement: Principles of Communications

Noise Problem Solving

A three-stage amplifier is to have an overall noise temperature no greater than 70K. 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 with existing characteristics as follows: stage 2 has 20 dB power gain and 3 dB noise figure. Stage 3 has 15 dB power gain and 6 dB noise figure. Calculate the maximum noise figure (in dB) that the first stage can have.

a. 0.267 dB

b. 0.56 dB

c. 1.235 dB

d. 0.985 dB

The maximum noise figure (in dB) that the first stage can have is equal to 0.56 dB.

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