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?
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: Option B
This Question Belongs to Electronics And Communications Engineering >> Signal Processing
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