- #1
magnifik
- 360
- 0
I am trying to find the frequency response function given the input and output spectra
from the picture i got that X(iw) = iU(w)U(2-w) - iU(w+2)U(w) and that
Y(iw) = iwU(w)U(1-w) - iwU(w+1)U(w)
So H(iw) = Y(iw)/X(iw)
and H(iw) = wU(1-w) - wU(w+1) / U(2-w) - U(w+2)
i am having trouble now converting H(iw) to h(t) as i have never divided unit step functions before. can someone tell me if my work above is correct and if so, how to go about finding h(t)? thanks.
from the picture i got that X(iw) = iU(w)U(2-w) - iU(w+2)U(w) and that
Y(iw) = iwU(w)U(1-w) - iwU(w+1)U(w)
So H(iw) = Y(iw)/X(iw)
and H(iw) = wU(1-w) - wU(w+1) / U(2-w) - U(w+2)
i am having trouble now converting H(iw) to h(t) as i have never divided unit step functions before. can someone tell me if my work above is correct and if so, how to go about finding h(t)? thanks.