Examveda

Consider a sample signal
\[y\left( t \right) = 5 \times {10^{ - 6}}x\left( t \right)\sum\nolimits_{ - \infty }^{ + \infty } {\delta \left( {t - n{T_s}} \right)} \]
where x(t) = 10cos(8π × 103)t and Ts =100 μsec. When y(t) is passed through an ideal lowpass filter with a cutoff frequency of 5 kHz, the output of the filter is

A. 5 × 10-6 cos(8π × 103)t

B. 5 × 10-5 cos(8π × 103)t

C. 5 × 10-1 cos(8π × 103)t

D. 10cos(8π × 103)t

Answer: Option C


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