GATE Electronics and Communications (EC) 2016 Shift 1 Solved Paper

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 Gaussian noise with power spectral density $\frac{{\mathit{N}}_0}{2}$. The received signal is passed through a filter with impulse response h(t). Let 𝐸_𝑠 and 𝐸_ℎ denote the energies of the pulse s(t) and the filter h(t), respectively. When the signal-to-noise ratio (SNR) is maximized at the output of the filter (SNR_max), which of the following holds?