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Which one of the following statements is NOT TRUE for a continuous time causal
and stable LTI system?
  • a)
    All the poles of the system must lie on the left side of the jω axis
  • b)
    Zeros of the system can lie anywhere in the s-plane
  • c)
    All the poles must lie within |s| = 1
  • d)
    All the roots of the characteristic equation must be located on the left side of
    the jω axis
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Which one of the following statements is NOT TRUE for a continuous tim...
For an LTI system to be stable and causal all poles or roots of characteristic
equation must lie on LHS of s-plane i.e., left hand side of jω− axis
[Refer Laplace transform].
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Most Upvoted Answer
Which one of the following statements is NOT TRUE for a continuous tim...
For an LTI system to be stable and causal all poles or roots of characteristic
equation must lie on LHS of s-plane i.e., left hand side of jω− axis
[Refer Laplace transform].
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Community Answer
Which one of the following statements is NOT TRUE for a continuous tim...
Ω-axis.
b)The system's impulse response must be absolutely integrable.
c)The system's frequency response must be analytic in the region of convergence.
d)The system's step response must be bounded.
e)The system's transfer function must be rational.
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Which one of the following statements is NOT TRUE for a continuous time causaland stable LTI system?a)All the poles of the system must lie on the left side of the jω axisb)Zeros of the system can lie anywhere in the s-planec)All the poles must lie within |s| = 1d)All the roots of the characteristic equation must be located on the left side ofthe jω axisCorrect answer is option 'C'. Can you explain this answer?
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Which one of the following statements is NOT TRUE for a continuous time causaland stable LTI system?a)All the poles of the system must lie on the left side of the jω axisb)Zeros of the system can lie anywhere in the s-planec)All the poles must lie within |s| = 1d)All the roots of the characteristic equation must be located on the left side ofthe jω axisCorrect answer is option 'C'. 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 statements is NOT TRUE for a continuous time causaland stable LTI system?a)All the poles of the system must lie on the left side of the jω axisb)Zeros of the system can lie anywhere in the s-planec)All the poles must lie within |s| = 1d)All the roots of the characteristic equation must be located on the left side ofthe jω axisCorrect answer is option 'C'. 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 statements is NOT TRUE for a continuous time causaland stable LTI system?a)All the poles of the system must lie on the left side of the jω axisb)Zeros of the system can lie anywhere in the s-planec)All the poles must lie within |s| = 1d)All the roots of the characteristic equation must be located on the left side ofthe jω axisCorrect answer is option 'C'. Can you explain this answer?.
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