The Fourier transform pair for the unit step function u(t) is established as πδ(ω) + 1/(jω). The transform pair for the function u(t) - u(t-1) is derived using the time-shift theorem, resulting in the expression [πδ(ω) + 1/(jω)] - [πδ(ω-1) + 1/(j(ω-1))]. This application of the time-shift theorem is crucial for accurately determining the Fourier transform of shifted functions.
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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