Question
Download Solution PDFWhich of the following statements regarding Laplace and Fourier transforms are correct?
A. In order for a function to possess a Laplace transform, it must obey the condition
B. In order for a function to possess a Laplace transform, it must obey the condition
C. For a function to have a Fourier transform, it must obey the condition
D. For a function to have a Fourier transform, it must obey the condition
Choose the correct answer from the options given below:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The Fourier transform does not exist for all non-periodic signal.
And therefore, in order for a function x(t) to have Fourier transform, the following requirements, known as Dirichlet's conditions, must be satisfied
Function should be absolutely integrable form -
Laplace Transform: It is an integral that converts real variable(usually time domain ) to a complex frequency domain (usually s domain)
In order to have Laplace Transform following criteria must be satisfied:
Last updated on Jul 6, 2025
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