Consider an L-band radar with the following specifications: operating frequency \(f_{0}=1500 \mathrm{MHz}\), bandwidth \(B=5 \mathrm{MHz}\), and antenna gain \(G=5000\). Compute the peak power, the pulse width, and the minimum detectable signal for this radar. Assume target RCS \(\sigma=10 \mathrm{~m}^{2}\), the single pulse \(S N R\) is \(15.4 \mathrm{~dB}\), noise figure \(F=5 \mathrm{~dB}\), temperature \(T_{0}=290\) Kelvin, and maximum range \(R_{\max }=150 \mathrm{~km}\).