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Differences between laplace transform, z transform and fourier transform

Started by somanath17 July 14, 2009
On Tuesday, July 14, 2009 at 11:58:13 PM UTC+12, somanath17 wrote:
> Hi All, > > I have studied three diff kinds of transforms, The laplace transform, the > z transform and the fourier transform. As per my understanding the usage of > the above transforms are: > Laplace Transforms are used primarily in continuous signal studies, more > so in realizing the analog circuit equivalent and is widely used in the > study of transient behaviors of systems. > > The Z transform is the digital equivalent of a Laplace transform and is > used for steady state analysis and is used to realize the digital circuits > for digital systems. > > The Fourier transform is a particular case of z-transform, i.e z-transform > evaluated on a unit circle and is also used in digital signals and is more > so used to in spectrum analysis and calculating the energy density as > Fourier transforms always result in even signals and are used for > calculating the energy of the signal. > > Is my understanding correct. What more technical differences exist and > where do all these differences find their application. Would be really > helpful if someone can give an understanding of this and provide links > where i can look up for the same. > > Thanks, > Soma
Thing to remember is, none of them work for nonlinear systems! Then you need Volterra-series and the like