GATE EC||SIGNALS & SYSTEMS ||PYQS(2000-2025)

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Question 1

(GATE 2001 || EC || PYQ || MCQ || 1 MARKS)
  • 1
  • -1
  • 0
  • 0

Question 2

The function x(t) is shown in the figure. Even and odd parts of a unit-step function u(t) are respectively,

Screenshot-2025-09-04-112032

(GATE 2005 || EC || PYQ || MCQ || 1 MARKS)

  • Screenshot-2025-09-04-112036


  • Screenshot-2025-09-04-112040


  • Screenshot-2025-09-04-112044


  • Screenshot-2025-09-04-112049


Question 3

The Dirac-delta function δ(t) is defined as


(GATE 2006 || EC || PYQ || MCQ || 1 MARKS)

  • Screenshot-2025-09-04-112649


  • Screenshot-2025-09-04-112654


  • Screenshot-2025-09-04-112700


  • Screenshot-2025-09-04-112705


Question 4

If a signal f(t) has energy E, the energy of the signal f(2t) is equal to


(GATE 2001 || EC || PYQ || MCQ || 1 MARKS)

  •  E

  • E/2

  • 2E

  • 4E

Question 5

Screenshot-2025-09-04-114049


(GATE 2005 || EC || PYQ || MCQ || 1 MARKS)

  • 40

  • 41

  • 42

  • 82

Question 6

Screenshot-2025-09-04-114602

the fundamental frequency in rad/s is


(GATE 2013 || EC || PYQ || MCQ || 1 MARKS)

  • 100

  • 300

  • 500

  • 1500

Question 7

A discrete-time signal x [n] = sin (Ï€2n), n being an integer, is


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

  • periodic with period Ï€

  • periodic with period Ï€2

  • periodic with period Ï€/2

    .

  • not periodic.

Question 8

Screenshot-2025-09-04-122758


(GATE 2015 || EC || PYQ || NAT || 1 MARKS)

  • 2

Question 9

Screenshot-2025-09-04-123317


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

  • 1.5

Question 10

Screenshot-2025-09-04-123650


(GATE 2019 || EC || PYQ || NAT || 1 MARKS)

  • 12


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