The signal x(t) = sin (14000 πt), where t is in seconds, is sampled at a rate of 9000 samples per second. The sampled signal is the input to an ideal low pass filter with frequency response H(f) as follows:$H\left( f \right) = \left\{ {\begin{array}{*{20}{c}} {1,}&{\left| f \right| \leqslant 12kHz} \ {0,}&{\left| f \right| 12kHz} \end{array}} \right..$What is the number of sinusoids in the output and their frequencies in kHz?

Question

The signal x(t) = sin (14000 πt), where t is in seconds, is sampled at a rate of 9000 samples per second. The sampled signal is the input to an ideal low pass filter with frequency response H(f) as follows:$H\left( f \right) = \left\{ {\begin{array}{*{20}{c}} {1,}&{\left| f \right| \leqslant 12kHz} \ {0,}&{\left| f \right| > 12kHz} \end{array}} \right..$What is the number of sinusoids in the output and their frequencies in kHz?

TuteeHUB · Accepted Answer

Number = 2, frequencies = 2, 7

TuteeHUB · Answer

Number = 1, frequency = 7

TuteeHUB · Answer

Number = 3, frequencies = 2, 7, 11

TuteeHUB · Answer

Number = 2, frequencies = 7, 11

1.	The signal x(t) = sin (14000 πt), where t is in seconds, is sampled at a rate of 9000 samples per second. The sampled signal is the input to an ideal low pass filter with frequency response H(f) as follows:\(H\left( f \right) = \left\{ {\begin{array}{*{20}{c}} {1,}&{\left\| f \right\| \leqslant 12kHz} \\ {0,}&{\left\| f \right\| > 12kHz} \end{array}} \right..\)What is the number of sinusoids in the output and their frequencies in kHz?
A.	Number = 1, frequency = 7
B.	Number = 3, frequencies = 2, 7, 11
C.	Number = 2, frequencies = 2, 7
D.	Number = 2, frequencies = 7, 11
Answer» C. Number = 2, frequencies = 2, 7

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