GATE EC|| SIGNALS & SYETMS || DTFT, DFT & MISCELLANEOUS || PYQs(2000-2025)

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Question 1

Screenshot-2025-09-13-120351

(GATE 2018 || EC || NAT|| 2 MARKS)

  • 13

Question 2

For a given sample-and-hold circuit, if the value of the hold capacitor is increased, then

(GATE 2014 || EC || MCQ || 1 MARKS)

  • drop rate decreases and acquisition time decreases

  • drop rate decreases and acquisition time increases

  • drop rate increases and acquisition time decreases

  • drop rate increases and acquisition time increases

Question 3

Screenshot-2025-09-13-113745

(GATE 2015 || EC || MCQ || 1 MARK)

  • Screenshot-2025-09-13-113752


  • Screenshot-2025-09-13-113758


  • Screenshot-2025-09-13-113802


  • Screenshot-2025-09-13-113807


Question 4

Screenshot-2025-09-13-114213

(GATE 2015 || EC || NAT || 2 MARKS)

  • 0.4

Question 5

A continuous time function x(t) is periodic with period T. The function is sampled uniformly with a sapling period Ts. In which one of the following cases is the sampled signal periodic?

(GATE 2016 || EC || MCQ || 1 MARK)

  • Screenshot-2025-09-13-114830


  • Screenshot-2025-09-13-114834


  • Always

  •  Never

Question 6

A continuous-time sinusoid of frequency 33 Hz is multiplied with a periodic Dirac-impulse train of frequency 46 Hz. The resulting signal is passed through an ideal analog low-pass filter with a cutoff frequency of 23 Hz. The fundamental frequency (in Hz) of the output is _____.

(GATE 2016 || EC || NAT || 1 MARKS)

  • 13

Question 7

Screenshot-2025-09-13-115415

(GATE 2016 || EC || NAT || 2 MARK)

  • 0.049

Question 8

Screenshot-2025-09-13-115720

(GATE 2016 || EC || NAT || 2 MARKS)

  • 8

  • 12

  • 16

  • 32

Question 9

Screenshot-2025-09-13-120004


(GATE 2017 || EC || MCQ || 2 MARKS)

  • Number = 1, frequency = 7

  • Number = 3, frequencies = 2, 7, 11

  • Number = 2, frequencies = 2, 7

  • Number = 2, frequencies = 7, 11

Question 10

Screenshot-2025-09-13-110618


(GATE 2014 || EC || MCQ || 1 MARKS)

  • 5 Hz and 15 Hz only

  • 10 Hz and 15 Hz only

  • 5 Hz, 10 Hz and 15 Hz only

  • 5 Hz only

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There are 36 questions to complete.

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