MATLAB: Exponential decay in MATLAB time to frequency domain

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Hello Everyone,
can anybody help how i can convert time domain to frequency domain following formula? i need it for signal parametrization. If i used fft for A=1,1,1 Delta 200,200,200 Omega 100,1001,1200 and phi 0. It is possible in time domain but if i want in frequency domain then fft dont work parameter vise optimization.
ff.png
Thank you so much

Best Answer

If I understood the question correctly, you can use a Laplace table to look for solutions:
See #20 here: http://tutorial.math.lamar.edu/Classes/DE/Laplace_Table.aspx
You can then translate to the frequency domain if need be:
https://math.stackexchange.com/questions/102627/how-do-the-laplace-s-domain-and-the-complex-frequency-domain-differ
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