The sinusoid x(t) =6cos10πt is sampled at the rate of 15 Hz and applied to ideal rectangular LPF with cut-off frequency of 10 Hz, then the output of filter contains:
A. Only 10π rad/sec component
B. 10π rad/sec component
C. 10π rad/sec and 20π rad/sec components
D. +10π rad/sec and +20π rad/sec components
Answer:B
The sinusoid x(t) =6cos10πt is sampled at the rate of 15 Hz and applied to ideal rectangular LPF with cut-off frequency of 10 Hz, then the output of filter contains:
A. Only 10π rad/sec component B. 10π rad/sec component C. 10π rad/sec and 20π rad/sec components D. +10π rad/sec and +20π rad/sec components
Explanation: Output filter is the device that is used to filter some frequencies and make some frequencies in the response and in this case it contains 10π rad/sec.