Howtosignalprocessing
Properties of Laplace Transform
| Linearity Property | A f1(t) + B f2(t) ⟷ A F1(s) + B F2(s) |
|---|---|
| Integration | t∫0 f(λ) dλ ⟷ 1⁄s F(s) |
| Multiplication by Time | T f(t) ⟷ (−d F(s)⁄ds) |
| Complex Shift Property | f(t) e−at ⟷ F(s + a) |
| Time Reversal Property | f (-t) ⟷ F(-s) |
What are the types of Laplace transform?
Laplace transform is divided into two types, namely one-sided Laplace transformation and two-sided Laplace transformation.
What is linear property of Laplace?
The linearity property of Laplace transforms states that the Laplace transform of the weighted sum of two signals is equal to the weighted sum of the individual sum Laplace transforms.
