- #1
mod31489
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I am having trouble with this homework problem, I know how to get started but I just don't know how to carry through the completion of the problem:
Question: Given the Fourier transform of an aperiodic signal
X(ω) = 2*sin(3(ω-2π))/ω-2π
(a)find its inverse Fourier transform x(t) using only tables and properties
(b) find the power of the signal x(t)
I know that I have to preform Frequency shift property involving the 2π and I have to preform the scaling property for the 3. I also know that I can use the relationship
sin(τω)/ω = τsinc(τω/2)
and the inverse Fourier transform of
τsinc(τω/2) → ∏(t/τ)
The problem I am having is understanding how to perform the frequency shift and the scaling property in order to get X(ω) into the form of sin(τω)/ω so i can preform the inverse Fourier transform. from there the power is equal to x^2(t) which is equal to the
lim T→∞ of ∫ g^2(t)dt from -T/2 to T/2
Question: Given the Fourier transform of an aperiodic signal
X(ω) = 2*sin(3(ω-2π))/ω-2π
(a)find its inverse Fourier transform x(t) using only tables and properties
(b) find the power of the signal x(t)
I know that I have to preform Frequency shift property involving the 2π and I have to preform the scaling property for the 3. I also know that I can use the relationship
sin(τω)/ω = τsinc(τω/2)
and the inverse Fourier transform of
τsinc(τω/2) → ∏(t/τ)
The problem I am having is understanding how to perform the frequency shift and the scaling property in order to get X(ω) into the form of sin(τω)/ω so i can preform the inverse Fourier transform. from there the power is equal to x^2(t) which is equal to the
lim T→∞ of ∫ g^2(t)dt from -T/2 to T/2