Let x(t) be a wide sense stationary (WSS) random with power spectral density Sx(f). If Y(t) is the process defined as y(t) = x(2t - 1), the power spectral density SY(f) is
A. $${S_Y}\left( f \right) = {1 \over 2}{S_X}\left( {{f \over 2}} \right){e^{ - j\pi t}}$$
B. $${S_Y}\left( f \right) = {1 \over 2}{S_X}\left( {{f \over 2}} \right){e^{ - {{j\pi t} \over 2}}}$$
C. $${S_Y}\left( f \right) = {1 \over 2}{S_X}\left( {{f \over 2}} \right)$$
D. $${S_Y}\left( f \right) = {1 \over 2}{S_X}\left( {{f \over 2}} \right){e^{j2\pi f}}$$
Answer: Option C
This Question Belongs to Electronics And Communications Engineering >> Signal Processing
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