1.13 LAPLACE TRANSFORMS
In order to find out the response of linear waveshaping circuits to the various types of inputs discussed above, we usually formulate a differential equation and solve the differential equation using Laplace transforms. The Laplace transform of any function in the time domain t is given by:
where, s = σ + jω. The lower limit is taken as zero instead of –∞ because the convergence factor for e−σ t will diverge for t → −∞; therefore, all the information before t = 0 is ignored. A function is said to be Laplace transformable when:
The Laplace transform permits us to go from the time domain to the frequency domain whereas ...
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