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 \;{N_{0}}/{2}. The received signal is passed through a filter with impulse response h(t). Let 𝐸𝑠 and 𝐸ℎ 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 (SNRmax), which of the following holds?

Question

Examsnet · Accepted Answer

Correct Answer is : Es=Eh;SNRmax‌=‌2EsN0

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