A monostatic radar has the following parameters: transmit power \(100 \mathrm{~kW}\), transmit losses \(2 \mathrm{~dB}\), operating frequency \(7 \mathrm{GHz}\), PRF \(2000 \mathrm{~Hz}\), pulse width \(10 \mu \mathrm{s}\), antenna beam width \(2^{\circ} \mathrm{Az} \times 4^{\circ} \mathrm{El}\), receive losses \(3 d \mathrm{~B}\), and receiver noise figure \(12 d \mathrm{~B}\). Assume that the radar uses pulses that employ \(10 \mathrm{MHz}\) of linear frequency modulation and uses a processor that is matched to the transmitted pulse. (a) What is the antenna gain? (b) What is the effective aperture if the aperture efficiency is 50\%? (c) What is the effective radiated power of the radar, in \(d B m\) ? (d) Given a detection threshold of \(13 d B\), what is the detection range for a target with a radar cross-section of \(6 \mathrm{dBsm}\) ?