Laplace transform: Difference between revisions
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The Laplace transform is named after its discoverer [[Pierre-Simon Laplace]]. |
The Laplace transform is named after its discoverer [[Pierre-Simon Laplace]]. |
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See also: [[Fourier transform]], [[transfer function]], [[linear dynamic system]]. |
See also: [[Fourier transform]], [[transfer function]], [[linear dynamic system]]. |
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Revision as of 08:42, 16 June 2002
The Laplace transform of a function f(t) defined for all real numbers t ≥ 0 is the function F(s), defined by:
- F(s) = ∫0∞ e-st f(t) dt
The Laplace transform F(s) typically exists for all real numbers s > a, where a is a constant which depends on the growth behavior of f(t).
The Laplace transform is named after its discoverer Pierre-Simon Laplace.
See also: Fourier transform, transfer function, linear dynamic system.