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ECE · Q15

Signal Processing

Engineering and GATE · ECE · question 15

Q15

A real-valued signal x(t) limited to the frequency band | f | W 2 is passed through a linear time invariant system whose frequency response is H ( f ) = \ e^ - j4 f, & | f | W 2 0, & | f | > W 2 . The output of the system is

A real-valued signal x(t) limited to the frequency band   is passed through a linear time invariant system whose frequency response is H\left( f \right) = \left\{ {\matrix{ {{e^{ - j4\pi f,}}} & {\left| f \right| \le {W \over 2}} \\ {0,} & {\left| f \right| > {W \over 2}} \\ } } \right.
The output of the system is
A.
x(t + 4)
B.
x(t - 4)
C.
x(t + 2)
D.
x(t - 2)
Answer

Answer: Option D

Solution

Answer: Option D
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