Fourier transform of unit step function?

Answer 1

we proceed via the FT of the signum function sgn(t) which is defined as:

sgn(t) = 1 for t>0 n -1 for t<0

FT of sgn(t) = 2/jw where w is omega n j is iota(complex)

we actually write unit step function in terms of signum fucntion : n the formula to convert unit step in to signum function is

u(t) = 1/2 ( 1 + sgn(t) )

As we know the FT of sgn(t) we can easily compute FT of u(t).

Hope i answer the question

Answer 2

Ajw *sa(x)