laplace & fourier transform

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mess123

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Can anybody explain me the question.
Why is Fourier transform used in communication system while laplace transform is used in control theory?
What are the modifications in fourier transform for laplace transform to arise?
 

I think FT is good for comms bcoz' there frequency component that matters , but in control system it's the transfer function which helps in the analysis.
 

FT is enough to describe the properties of the communication systems with the use of the integration kernel exp(-j*w*t) (purely imaginary exponent) which produces the frequency components.
However, in control theory the transient phenomena also matter. The inclusion of these phenomena is achieved (Laplace transform) with the use of the generally complex (not purely imaginary) exponent in the integration kernel exp(st)=exp[(a+j*w)*t]. The real part of the exponent is present to include the damping phenomena.
 

u can use both but laplace has more convergence than fourier
 

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