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Q#1 Random Variable and Random Process GATE EC 2016 MCQ +2 marks -0.66 marks

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 . The received signal is passed through a filter with impulse response h(t). Let and  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 , which of the following holds?

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