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A stage has \( 20 \ \mathrm{dB} \) gain and \( 2 \ \mathrm{dB} \) noise figure, followed by one of \( 10 \ \mathrm{dB} \) noise figure. The overall figure is close to

  • A.2.9 dB
  • B.2.2 dB
  • C.12 dB
  • D.6 dB

Answer: B

The second stage's contribution is divided by a gain of a hundred:

\[ F = 1.58 + \frac{10-1}{100} = 1.67 \]

which is about 2.2 dB, close to the first stage's own figure. That is the Friis formula's practical message: ample gain in a quiet first stage renders later stages almost irrelevant. Adding the decibel figures gives 12 dB and ignores the gain entirely. 6 dB and 2.9 dB follow from partial substitutions.

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