8. Given a Fourier transform pair f(@) = F[f (t)] = f(t)e-lot dt (Forward transform) and f(t) = S* F[f(t)]e*iet dw = L f(@)e*il* dw (Inverse transform), show that the Fourier {1 if-
8. Given a Fourier transform pair f(@) = F[f (t)] = f(t)e-lot dt (Forward transform) and f(t) = S* F[f(t)]e*iet dw = L f(@)e*il* dw (Inverse transform), show that the Fourier {1 if-
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![8. Given a Fourier transform pair f(@) = F[f (t)] = S f(t)e-lot dt (Forward transform) and
f(t) = L** F[f(t)]etiet do = S** f(@)e*iot do (Inverse transform), show that the Fourier
(1 if-<t<+
(o
transform of the box function defined as rect(t) =
is F[rect (t)] =
otherwise
sin
= sinc ), a = 2nf.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2ae0d557-1215-41e4-8975-9a7957c1d2af%2Ff11a6812-8384-4a05-ad60-5debec423f7e%2Fxi56301i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:8. Given a Fourier transform pair f(@) = F[f (t)] = S f(t)e-lot dt (Forward transform) and
f(t) = L** F[f(t)]etiet do = S** f(@)e*iot do (Inverse transform), show that the Fourier
(1 if-<t<+
(o
transform of the box function defined as rect(t) =
is F[rect (t)] =
otherwise
sin
= sinc ), a = 2nf.
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