Consider a rectangular pulse defined by, it is proposed to

Consider a rectangular pulse defined by, it is proposed to approximate the marched filter for g (t) by an ideal low-pass filter of bandwidth B; maximization of the peak pulse signal-to-noise ratio is the primary objective.
(a) Determine the optimum value of B for which the ideal low-pass filter provides the best approximation to the marched filter.
(b) By how many decibels is the ideal low-pass filter worse off than the matchedfilter?