- Summary
- How to calculate Fourier transform of sin(a*t)*exp(-t/b) ?

Hi all,

I need to calculate Fourier transform of the following function: sin(a*t)*exp(-t/b), where 'a' and 'b' are constants.

I used WolphramAlpha site to find the solution, it gave the result that you can see following the link: https://www.wolframalpha.com/input/?i=Fourier+transform&assumption={"F",+"FourierTransformCalculator",+"transformfunction"}+->"sin(a*t)*e^(-t/b)"&assumption={"F",+"FourierTransformCalculator",+"variable1"}+->"t"&assumption={"F",+"FourierTransformCalculator",+"variable2"}+->"w"&assumption={"C",+"Fourier+transform"}+->+{"Calculator",+"dflt"}

But I have doubt about this result. Could you please tell, how to calculate the Fourier transform of mentioned function manually? And is there another reliable site/program where I can find Fourier transform of any function?

I need to calculate Fourier transform of the following function: sin(a*t)*exp(-t/b), where 'a' and 'b' are constants.

I used WolphramAlpha site to find the solution, it gave the result that you can see following the link: https://www.wolframalpha.com/input/?i=Fourier+transform&assumption={"F",+"FourierTransformCalculator",+"transformfunction"}+->"sin(a*t)*e^(-t/b)"&assumption={"F",+"FourierTransformCalculator",+"variable1"}+->"t"&assumption={"F",+"FourierTransformCalculator",+"variable2"}+->"w"&assumption={"C",+"Fourier+transform"}+->+{"Calculator",+"dflt"}

But I have doubt about this result. Could you please tell, how to calculate the Fourier transform of mentioned function manually? And is there another reliable site/program where I can find Fourier transform of any function?