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In this problem we explore another method fur the approximate

In this problem we explore another method fur the approximate

In this problem we explore another method fur the approximate realization of a matched filter, this time using the simple resistance-capacitance (RC) low-pass filter shown in Figure. The frequency response of this filter is H (A?) = 1/1 + jA?/A?0, where A?0 = 1/2pRC. The input signal g (t) is a rectangular pulse of amplitude A and duration T. The requirement is to optimize the selection of the 3-dB cutoff frequency A?0 of the filter so that the peak pulse signal-to-noise ratio at the filter output is maximized. With this object the in mind, show that the optimum value of A?0 is 0.2/T, for which the loss in signal-to-noise ratio compared to the matched filter is about 1 dB.

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