Howtosignalprocessing
- How do you find the pole of a Laplace transform?
- What is the difference between Laplace and inverse Laplace?
- Why is Laplace better than Fourier?
How do you find the pole of a Laplace transform?
The poles (as you may remember from algebra) are the zeros of the polynomial in the denominator of the Laplace transform of the function. The poles are marked with an X on the complex plane. If you get a double pole (a double root of the polynomial in the denominator), then the X will be circled.
What is the difference between Laplace and inverse Laplace?
The Laplace Transform finds the output Y(s) in terms of the input X(s) for a given transfer function H(s), where s = jω. The inverse Laplace Transform finds the input X(s) in terms of the output Y(s) for a given transfer function H(s), where s = jω.
Why is Laplace better than Fourier?
Answer. Because the Laplace transform exists even for signals for which the Fourier transform does not exist, it is widely used for solving differential equations. Because the Fourier transform does not exist for many signals, it is rarely used to solve differential equations.
