An L-band pulsed radar is designed to have an unambiguous range of \(100 \mathrm{~km}\) and range resolution \(\Delta R \leq 100 \mathrm{~m}\). The maximum resolvable Doppler frequency corresponds to \(v_{\text {target }} \leq 350 \mathrm{~m} / \mathrm{s}\) Compute the maximum required pulse width, the PRF, and the average transmitted power if \(P_{t}=500 \mathrm{~W}\).