$3\mathrm{.}3$ An $\backslash ($ L $\backslash )-$band radar $\backslash ((1250\backslash$mathrm$\{$MHz$\})\backslash )$ has a prf of $340$ Hz $.$ It detects a rainstorm moving at a radial velocity of $12$ kt $.$ Assume that the width of the thunderstorm's doppler spectrum is very small $($a narrow spectral line; which is not, of course, reality but it makes the problem easier$).$ The radar employs a single delay$-$line canceler. $($a$)$ How much does the single delay$-$line canceler attenuate $($in dB $)$ the storm echo compared to the response if the storm were moving with a radial velocity corresponding to the velocity which gives the

maximum filter response? $($b$)$ What would be the attenuation of the storm compared to the maximum response, if a double delay$-$line canceler were used?