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- S_plane abstract "In mathematics and engineering, the S plane is the name for the complex plane on which Laplace transforms are graphed. It is a mathematical domain where, instead of viewing processes in the time domain modelled with time-based functions, they are viewed as equations in the frequency domain. It is used as a graphical analysis tool in engineering and physics. A real function (f) in time 't' is translated into the 's' plane by taking the integral of the function, multiplied by from to , where s is a complex number.One way to understand what this equation is doing is to remember how Fourier analysis works. In Fourier analysis, harmonic sine and cosine waves are multiplied into the signal, and the resultant integration provides indication of a signal present at that frequency (i.e. the signal's energy at a point in the frequency domain). The 's' transform does the same thing, but more generally. The e-st not only catches frequencies, but also the real e-t effects as well. 's' transforms therefore cater not only for frequency response, but decay effects as well. For instance, a damped sine wave can be modeled correctly using 's' transforms.'s' transforms are commonly known as Laplace transforms. In the 's' plane, multiplying by s has the effect of differentiating in the corresponding real time domain. Dividing by s integrates.Analysing the complex roots of an 's' plane equation and plotting them on an Argand diagram, can reveal information about the frequency response and stability of a real time system.".
- S_plane wikiPageExternalLink zlap.htm.
- S_plane wikiPageID "2614482".
- S_plane wikiPageRevisionID "592465982".
- S_plane hasPhotoCollection S_plane.
- S_plane subject Category:Fourier_analysis.
- S_plane comment "In mathematics and engineering, the S plane is the name for the complex plane on which Laplace transforms are graphed. It is a mathematical domain where, instead of viewing processes in the time domain modelled with time-based functions, they are viewed as equations in the frequency domain. It is used as a graphical analysis tool in engineering and physics.".
- S_plane label "Erweiterte symbolische Methode der Wechselstromtechnik".
- S_plane label "Płaszczyzna S".
- S_plane label "S plane".
- S_plane label "S-плоскость".
- S_plane sameAs Erweiterte_symbolische_Methode_der_Wechselstromtechnik.
- S_plane sameAs Płaszczyzna_S.
- S_plane sameAs m.07rvwl.
- S_plane sameAs Q948031.
- S_plane sameAs Q948031.
- S_plane wasDerivedFrom S_plane?oldid=592465982.
- S_plane isPrimaryTopicOf S_plane.