a. What is the peak power of a radar whose average transmitter power is 200 W, pulse width of 1 µs, and a pulse repetition frequency of 1000 Hz? 

b. What is the range (nmi) of this ground-based air-surveillance radar if it has to detect a target with a radar cross section of 2 m² when it operates at a frequency of 2.9 GHz (S band), with a rectangular-shaped antenna that is 5 m wide, 2.7 m high, antenna aperture efficiency ρ_a of 0.6, and minimum detectable signal S_min equal to 10^–12 W (based on P_t in the radar equation being the peak power)? 

c. Sketch the received echo signal power as a function of range from 10 to 80 nmi.

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