Consider the signal s(t) shown in the figure, which is the output of an AWGN (Additive White Gaussian Noise) channel with two-sided noise PSD (Power Spectral Density) of 0.5W/Hz. If the signal is given as an input to a matched filter to s(t), then the slope of the output signal for 2V.a)4,6b)-4,6c)4,12d)-4,12Correct answer is option 'D'. Can you explain this answer?

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Consider the signal s(t) shown in the figure, which is the output of an AWGN (Additive White Gaussian Noise) channel with two-sided noise PSD (Power Spectral Density) of 0.5W/Hz. If the signal is given as an input to a matched filter to s(t), then the slope of the output signal for 2V.

a)
4,6
b)
-4,6
c)
4,12
d)
-4,12

Correct answer is option 'D'. Can you explain this answer?

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Consider the signal s(t) shown in the figure, which is the output of a...

Matched filter impulse, h(t) = s*(2 - t) = s(2 - t) = s(t) [from the figure]

Slope (for \(2We have, Noise PSD (two-sided) = N₀/2 = 1/2 W/Hz And bit energy or energy of signal s(t), E_b = 2² x 2 = 8Vs

Maximum output SNR

SNR_s = 10 log₁₀ 16 = 12.04dB ≈ 12dB

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