# Find fourier transform of f(x)=e^(-ax)

1
by sunayana1

2015-11-06T18:05:04+05:30

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We are finding the Fourier transform for the function e(-ax) * u(x),  where  u(x) = unit step function and

u(x) = 0 for  x < 0  and
= 1  for  x >= 0

We find the transform for the signal given, for  x >= 0 part only.

Fourier transform of the signal  f(x) is defined as:

The given function grows to infinity as  x tends to -∞.  So its Fourier transform is not possible to determine if the lower limit is -∞ for the span of x.  So we take the real time  for x >= 0 only.  We can take x >= -A  for a real value of A and find the transform.

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