0

# Can a discontinuous function have a laplace transform?

Updated: 12/18/2022

Wiki User

13y ago

Sure! The definition of Laplace transform involves the integral of a function, which always makes discontinuous continuous.

Wiki User

13y ago

Earn +20 pts
Q: Can a discontinuous function have a laplace transform?
Submit
Still have questions?
Related questions

### What is the difference between Fourier transform and Laplace transform and z transform?

Fourier transform and Laplace transform are similar. Laplace transforms map a function to a new function on the complex plane, while Fourier maps a function to a new function on the real line. You can view Fourier as the Laplace transform on the circle, that is |z|=1. z transform is the discrete version of Laplace transform.

### What is relation between laplace transform and fourier transform?

The Laplace transform is related to the Fourier transform, but whereas the Fourier transform expresses a function or signal as a series of modes ofvibration (frequencies), the Laplace transform resolves a function into its moments. Like the Fourier transform, the Laplace transform is used for solving differential and integral equations.

s

### Does every continious function has laplace transform?

There are continuous functions, for example f(t) = e^{t^2}, for which the integral defining the Laplace transform does not converge for any value of the Laplace variable s. So you could say that this continuous function does not have a Laplace transform.

2/s

### What are the Laplace transform of unit doublet function?

The Laplace transform of the unit doublet function is 1.

### What is the laplace transform of a unit step function?

a pulse (dirac's delta).

### What are the limitations of laplace transform?

Laplace will only generate an exact answer if initial conditions are provided

### The Laplace transform of sin3t?

find Laplace transform? f(t)=sin3t

### What is the difference between the fourier laplace transform?

They are similar. In many problems, both methods can be used. You can view Fourier transform is the Laplace transform on the circle, that is |z|=1. When you do Fourier transform, you don't need to worry about the convergence region. However, you need to find the convergence region for each Laplace transform. The discrete version of Fourier transform is discrete Fourier transform, and the discrete version of Laplace transform is Z-transform.

### What kind of response is given by laplace transform analysis?

The type of response given by Laplace transform analysis is the frequency response.

### Derivation for transient current by using series rlc circuit?

the most convenient solution is to use the laplace transform, connecting it in series makes a current loop in kvl, where the summation of e (the supply) equals the voltage in resistor, inductor and capaitor,, using differential ang integral, we can create a formula of function... to simplify use the laplace transform, then inverse laplace transform... after the action completed, you will now have a pronounced equation for current as a function of time