Consider a scanning low PRF radar. The antenna half-power beam width is (1.5^{circ}), and the antenna scan

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Consider a scanning low PRF radar. The antenna half-power beam width is \(1.5^{\circ}\), and the antenna scan rate is \(35^{\circ}\) per second. The pulse width is \(\tau=2 \mu s\), and the PRF is \(f_{r}=400 \mathrm{~Hz}\). 

(a) Compute the radar operating bandwidth. 

(b) Calculate the number of returned pulses from each target illumination. 

(c) Compute the SNR improvement due to post-detection integration (assume 100\% efficiency). 

(d) Find the number of false alarms per minute for a probability of false alarm \(P_{f a}=10^{-6}\).

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