4.8. An X-band radar has the following specifications: received peak power

, probability of detection , time of false alarm

, pulse width , operating bandwidth , operating frequency , and detection range . Assume single pulse processing.

(a) Compute the probability of false alarm . (b)

Determine the SNR at the output of the IF amplifier.

(c) At what SNR would the probability of detection drop to ( does not change)?

(d) What is the increase in range that corresponds to this drop in the probability of detection?