Inverse laplace of impulse function

1. What is the Laplace inverse of unit impulse input?
2. What is the inverse Laplace transform of y s )=?
3. What is the Laplace transform of impulse response?

What is the Laplace inverse of unit impulse input?

Detailed Solution

The Laplace transform of unit impulse is 1 i.e. unity.

What is the inverse Laplace transform of y s )=?

The Laplace Transform finds the output Y(s) in terms of the input X(s) for a given transfer function H(s), where s = jω. The inverse Laplace Transform finds the input X(s) in terms of the output Y(s) for a given transfer function H(s), where s = jω.

What is the Laplace transform of impulse response?

The Laplace transforms of particular forms of such signals are: A unit step input which starts at a time t=0 and rises to the constant value 1 has a Laplace transform of 1/s. A unit impulse input which starts at a time t=0 and rises to the value 1 has a Laplace transform of 1.