A radar has the following parameters: Peak power P, losses L = 5dB; operating frequency fo = = 65KW ; total 8GHz; PRF fr = 4KHz; duty cycle d = 0.3; circular antenna with diameter D = 1m; effective aperture is 0.7 of physical aperture; noise figure F = 8dB.

(a) Derive the various parameters needed in the radar equation;

(b) What is the unambiguous range?

(c) plot the SNR versus range (1 Km to the radar unambiguous range) for a 5dBsm target; and

(d) if the minimum SNR required for detection is 14 dB, what is the detection range for a 6 dBsm target? What is the detection range if the SNR threshold requirement is raised to 18 dB?