to find fourier transform of e^-t u(t). How do i remove this error

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Abhinav Raghunandan
回答： Star Strider 2021-3-24
syms t
>> y=ftransform(exp(-t),-20,20)
Unrecognized function or variable 'ftransform'.
>> y=fft(exp(-t),-20,20)
Error using fft
Invalid data type. First argument must be double, single, int8, uint8, int16, uint16, int32, uint32, or logical.

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回答（1 个）

Star Strider
Star Strider 2021-3-24
The fourier function does not allow limits, so that integration would need to be done manually:
syms t omega
y = int(exp(-t).*exp(1j*omega*t), t, -20, 20)
y = simplify(y, 150)
y = rewrite(y, 'sincos')
producing:
y =
(2*sin(20*omega + 20i)*(omega - 1i))/(omega^2 + 1)
In LaTeX:
.

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