Laplace Transform can be viewed as an extension of the Fourier transform to allow analysis of broader class of signals and systems (including unstable systems
The Laplace transform is identical for two different signals However the regions of convergence of s are mutually exclusive (non-intersecting)
Here we speak of abscissa of absolute convergence since the Lebesgue integral is absolutely convergent Some authors define the Laplace transform as an
some of the restrictions encountered with the Fourier transform Specifically the Laplace transform converges for a broader class of signals than does the
8 avr 2010 · time unilateral z-transform as special cases The regions of convergence (ROCs) time scale Laplace transforms are determined by the time
integral which defines the one-sided Laplace transform of f L(f) converges for all s ? C such that (s) > s0 Moreover this integral converges uniformly