In a linear time invariant system, the time invariance condition describes a system in which a delay in the input causes-

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BDL MT Electrical 17 April 2022 Official Paper
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  1. The same amount of delay in the output
  2. Decrease in output
  3. Zero output
  4. Increase in output

Answer (Detailed Solution Below)

Option 1 : The same amount of delay in the output
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The correct answer is option 1):(The same amount of delay in the output)

Concept:

  • LTI (linear time-invariant) is a system which satisfies both linearity and time-invariance properties.
  • The system is said to be linear if it satisfies the principle of superposition.
  • A system is linear if the output to a weighted summation of input signals is equal to the weighted summation of outputs when an individual input signal is applied.
  • A system is said to be time-invariant when a time shift of an input signal produces the same time shift in the output signal.
  • In a linear time-invariant system, the time invariance condition describes a system in which a delay in the input causes the same amount of delay in the output
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