An analog pulse s(t) is transmitted over an additive white Gaussian noise (AWGN) channel. The received signal is r(t)=s(t)+n(t) where n(t) is additive white Gau...

Let g(t) = e−πt2, and h(t) is a filter matched to g(t). If g(t) is applied as input to h(t), then the Fourier transform of the output is

Let g(t) = e-πt2, and h(t) is a filter matched to g(t). If g(t) is applied as input to h(t), then the Fourier transform of the output is