EC > GATE 2016 SET-1 > Matched Filter
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 N0/2. 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?
Correct : a
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