Find the correlation coefficient between the signal x(t) and each of the four pulses g1(t), g2(t),

Find the correlation coefficient ρ between the signal x(t) and each of the four pulses g1(t), g2(t), g3(t), and g4(t) shown in the figure. To provide maximum margin against the noise along the transmission path, which pair of pulses would you select for a binary communication?

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x(1) 81(1) sin 2x1 sin 4/ K... M 0.707 0 83(1) 1 (d) P 0.707 0 -0.707 84(0) 0.5 (e) 1 82(1) 1 -sin 2m x(1) 81(1) sin 2x1 sin 4/ K... M 0.707 0 83(1) 1 (d) P 0.707 0 -0.707 84(0) 0.5 (e) 1 82(1) 1 -sin 2m

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