A pulsed radar has the following specifications: time of false alarm \(T_{f a}=10 \mathrm{~min}\), probability of detection \(P_{D}=0.95\), operating bandwidth \(B=1 \mathrm{MHz}\). (a) What is the probability of false alarm \(P_{f a}\) ? (b) What is the single pulse SNR? (c) Assuming noncoherent integration of 100 pulses, what is the \(S N R\) reduction so that \(P_{D}\) and \(P_{f a}\) remain unchanged?