Fourier transform pair for u(t)

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delta59
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Homework Statement

Ok I know Fourier transform pair for u(t) is pi*del(w)+1/(j*w)

Am I right to say the transform pair of u(t)-u(t-1) is [pi*del(w)+1/(j*w)]-[pi*del(w-1)+1/(j*(w-1)]

If not what is it?

thanks
 
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delta59 said:

Homework Statement




Ok I know Fourier transform pair for u(t) is pi*del(w)+1/(j*w)

Am I right to say the transform pair of u(t)-u(t-1) is [pi*del(w)+1/(j*w)]-[pi*del(w-1)+1/(j*(w-1)]

If not what is it?

thanks

No.
Use the time-shift theorem:
If G(f) = F{g(t)} then F{g(t-T)} = G(f)exp(-j2πfT). Here f = ω/2π.