An L-band radar has the following specifications: operating frequency fo = 1.5GHz, operating bandwidth B = 2MHz, noise figure F = 8dB, system losses L = 4dB, time of false alarm Ta = 12 minutes, detection. 12Km, probability of detection PD = 0.5, antenna gain range R =

G = 5000, and target RCS = 1m.

(a) Determine the PRF f,, the pulse width, the peak power P,, the probability of false alarm Pfa, and the mini- mum detectable signal level Sin

(b) How can you reduce the transmitter power to achieve the same performance when 10 pulses are integrated nonco- herently?

(c) If the radar operates at a shorter range in the single pulse mode, find the new probability of detection when the range decreases to 9Km.