Generalize these results to n identical attenuators and, Electrical Engineering

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Generalize these results to n identical attenuators and

An attenuator with loss L >> 1 is followed by an amplifier with noise figure F and gain Ga = L.

a. Find the noise figure of the cascade at temperature T₀.

b. Consider the cascade of two identical attenuator-amplifier stages as in part (a). Determine the noise figure of the cascade at temperature T₀.

c. Generalize these results to N identical attenuators and amplifiers at temperature T₀. How many decibels does the noise figure increase as a result of doubling the number of attenuators and amplifiers?

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