Q16
The signal x(t) = sin(14000πt), where t is in seconds is sampled at a rate of 9000 samples per second. The sampled signal is the input to an ideal lowpass filter with frequency response H(t) as follows: \[H ( f ) = \ array*20c 1,& | f | 12kHz \\ 0,& | f | > 12kHz array .\] What is the number of sinusoids in the output and their frequencies in kHz?
The signal x(t) = sin(14000πt), where t is in seconds is sampled at a rate of 9000 samples per second. The sampled signal is the input to an ideal lowpass filter with frequency response H(t) 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?
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
AnswerC.
Number = 2, frequencies = 2, 7
D.
Number = 2, frequencies = 7, 11
Answer: Option B
Solution
Answer: Option B
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