GATE Exam  >  GATE Questions  >  Which one of the following is the impulse res... Start Learning for Free
Which one of the following is the impulse response of the system whose step response is given as c(t) = 0.5(1 - e-2t) u(t)?
  • a)
    e-2tu(t)
  • b)
    0.5 δ(t) + e-2tu(t)
  • c)
    0.5 δ(t) - 0.5 e-2tu(t)
  • d)
    0.5 e-2tu(t)
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Which one of the following is the impulse response of the system whose...
Community Answer
Which one of the following is the impulse response of the system whose...
Convolution in the time domain implies multiplication in S(or frequency) domain
The Laplace transform of any signal h(t) is given by
So we observe that the H(s) = 1/s3, corresponds to a unit step signal convoluted with itself thrice.
Therefore the correct answer is option 1
Explore Courses for GATE exam
Which one of the following is the impulse response of the system whose step response is given as c(t) = 0.5(1 - e-2t) u(t)?a)e-2tu(t)b)0.5 δ(t) + e-2tu(t)c)0.5 δ(t) - 0.5 e-2tu(t)d)0.5 e-2tu(t)Correct answer is option 'A'. Can you explain this answer?
Question Description
Which one of the following is the impulse response of the system whose step response is given as c(t) = 0.5(1 - e-2t) u(t)?a)e-2tu(t)b)0.5 δ(t) + e-2tu(t)c)0.5 δ(t) - 0.5 e-2tu(t)d)0.5 e-2tu(t)Correct answer is option 'A'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Which one of the following is the impulse response of the system whose step response is given as c(t) = 0.5(1 - e-2t) u(t)?a)e-2tu(t)b)0.5 δ(t) + e-2tu(t)c)0.5 δ(t) - 0.5 e-2tu(t)d)0.5 e-2tu(t)Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which one of the following is the impulse response of the system whose step response is given as c(t) = 0.5(1 - e-2t) u(t)?a)e-2tu(t)b)0.5 δ(t) + e-2tu(t)c)0.5 δ(t) - 0.5 e-2tu(t)d)0.5 e-2tu(t)Correct answer is option 'A'. Can you explain this answer?.
Solutions for Which one of the following is the impulse response of the system whose step response is given as c(t) = 0.5(1 - e-2t) u(t)?a)e-2tu(t)b)0.5 δ(t) + e-2tu(t)c)0.5 δ(t) - 0.5 e-2tu(t)d)0.5 e-2tu(t)Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE. Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of Which one of the following is the impulse response of the system whose step response is given as c(t) = 0.5(1 - e-2t) u(t)?a)e-2tu(t)b)0.5 δ(t) + e-2tu(t)c)0.5 δ(t) - 0.5 e-2tu(t)d)0.5 e-2tu(t)Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Which one of the following is the impulse response of the system whose step response is given as c(t) = 0.5(1 - e-2t) u(t)?a)e-2tu(t)b)0.5 δ(t) + e-2tu(t)c)0.5 δ(t) - 0.5 e-2tu(t)d)0.5 e-2tu(t)Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Which one of the following is the impulse response of the system whose step response is given as c(t) = 0.5(1 - e-2t) u(t)?a)e-2tu(t)b)0.5 δ(t) + e-2tu(t)c)0.5 δ(t) - 0.5 e-2tu(t)d)0.5 e-2tu(t)Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Which one of the following is the impulse response of the system whose step response is given as c(t) = 0.5(1 - e-2t) u(t)?a)e-2tu(t)b)0.5 δ(t) + e-2tu(t)c)0.5 δ(t) - 0.5 e-2tu(t)d)0.5 e-2tu(t)Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Which one of the following is the impulse response of the system whose step response is given as c(t) = 0.5(1 - e-2t) u(t)?a)e-2tu(t)b)0.5 δ(t) + e-2tu(t)c)0.5 δ(t) - 0.5 e-2tu(t)d)0.5 e-2tu(t)Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice GATE tests.
Explore Courses for GATE exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev