GATE Electronics and Communications (EC) 2017 Shift 2 Solved Paper

Question : 59 of 65

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The signal x(t) = sin (14000 πt), where t is in seconds, is sampled at a rate of 9000 samples per second. The sampled signal is the input to an ideal low pass filter with frequency response H(f) as follows:

H(f)={\{\table 1, , {|f|} ≤ 12 {\kHz} ; 0, , {|f|}>12 {\kHz}}.

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What is the number of sinusoids in the output and their frequencies in kHz?

Number = 1, frequency = 7
Number = 3, frequencies = 2, 7, 11
Number = 2, frequencies = 2, 7
Number = 2, frequencies = 7, 11

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