White Gaussian noise X(t) with power spectral density N0/2 is the input to the series connection of two LTI systems shown in Figure P5. The impulse response of System S1 is given by h1(t) = while that of System S2 is (a) [10 points] Compute the power spectral density of the noise at the output of S2. (b) [10 points] Calculate the noise power at the output of S2.

45 5 - White Gaussian noise X(t) with power spectral density N0/2 is the input to the series connection of two LTI systems shown in Figure P5. The impulse response of System S1 is given by h1(t) = while that of System S2 is (a) [10 points] Compute the power spectral density of the noise at the output of S2. (b) [10 points] Calculate the noise power at the output of S2.

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images - White Gaussian noise X(t) with power spectral density N0/2 is the input to the series connection of two LTI systems shown in Figure P5. The impulse response of System S1 is given by h1(t) = while that of System S2 is (a) [10 points] Compute the power spectral density of the noise at the output of S2. (b) [10 points] Calculate the noise power at the output of S2.

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