# Question

A square pulse of width to = 1µs plus zero- mean white Gaussian noise is input to a filter with impulse response, h (t) = exp (–t / t1) u (t).

(a) Find the value of the constant such t1 that the SNR at the output of the filter will be maximum.

(b) Assuming the square pulse is non- zero over the time interval (0, t0) at what sampling time will the SNR at the output of the filter be maximized?

(a) Find the value of the constant such t1 that the SNR at the output of the filter will be maximum.

(b) Assuming the square pulse is non- zero over the time interval (0, t0) at what sampling time will the SNR at the output of the filter be maximized?

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