Laplace

How to compute the Laplace transform of a discrete signal?

How to compute the Laplace transform of a discrete signal?
  1. Is there a discrete Laplace transform?
  2. How do you convert Z transform to Laplace transform?
  3. What is the general equation of Laplace transform?

Is there a discrete Laplace transform?

The discrete Laplace transform is used in applications such as signal processing, as well as in the theory of analytic functions.

How do you convert Z transform to Laplace transform?

= tn+1 − tn = T. In summary, the z transform (times the sampling interval T) of a discrete time signal xd(nT) approaches, as T → 0, the Laplace Transform of the underly- ing continuous-time signal xd(t).

What is the general equation of Laplace transform?

Laplace Transform in Probability Theory

If X is the random variable with probability density function, say f, then the Laplace transform of f is given as the expectation of: Lf(S) = E[e-sX], which is referred to as the Laplace transform of random variable X itself.

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