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A control system transfer function is H(s) = 1/s3. Express its impulse response in terms of unit step signal
  • a)
    u(t) ⊗ u(t) ⊗ u(t); ⊗ denotes convolution
  • b)
    u(t) ⊗ u(t) ⊗ u(t) ⊗ u(t); ⊗ denotes convolution​  
  • c)
    u(t) × u(t) × u(t); × denotes multiplication
  • d)
    u(t) ⊗ u(t); ⊗ denotes convolution
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A control system transfer function is H(s) = 1/s3. Express its impulse...
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
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A control system transfer function is H(s) = 1/s3. Express its impulse response in terms of unit step signala)u(t)⊗ u(t) ⊗ u(t);⊗ denotes convolutionb)u(t)⊗ u(t) ⊗ u(t) ⊗ u(t);⊗ denotes convolutionc)u(t)× u(t)× u(t);× denotes multiplicationd)u(t)⊗ u(t);⊗ denotes convolutionCorrect answer is option 'A'. Can you explain this answer?
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