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Similarities and differences between Laplace and Fourier transforms

HINOJOSA CARDENAS JOSE OMAR

Created on November 13, 2021

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Similarities and differences between Laplace and Fourier transforms 19/11/21

Module 7I: Signal Processing and English VIIJosé Omar Hinojosa Cárdenas

1-Works only with sinusoidal signals. 2-It is defined only for functions defined for all real numbers.3-Every function that has a Fourier transform will have a Laplace transform.

1-Works with exponential and sinusoidal signals. 2-It does not require that the function be defined on the set of negative real numbers. 3-Not all functions that have a Laplace transform will have a Fourier transform.

Laplace Transform

Fourier Transform

They are continuous (integral) transformations of continuous functions.