Consider a rectangular pulse defined by, it is proposed to approximate the marched filter for g (t)

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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 matched filter?

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