GATE Electronics and Communications (EC) 2015 Shift 2 Solved Paper

Question : 33 of 65

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The signal

\cos ⁡ (10π t + \;{π\;}/{4})

is ideally sampled at a sampling frequency of

15 Hz

. the sampled signal is passed through a filter with impulse response

(\;{\ sin\;⁡\;(π\;t)\;}/{π\;t}) \cos ⁡ (40π t−\;{π\;}/{2}) .

The filter output is

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