2U. Use the Fourier transform synthesis equation to determine the inverse Fourier transform of: a) X,(e)= Z {278(w– 2nk)+ T8(w--2 7k) +T8(w+-57k)} 3 4

Q: Find the fourier transform of the following. functions by making use of Jordan's Lemma. a) 1 (x² +…

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Q: 3. Find the Fourier transform of: (a) e-r²/2 (b) xe-2|z| (c) erfx = // Se √ Ső e-²² dz

A: As per our company guidelines, since the question has multiple subparts we will solve the first part…

Q: Find the Fourier coefficients a0, ak  and bk off on [ - π,π] .                                 f (x)…

A: Given: fx=π-xTo find: The Fourier coefficients : a0, ak, bk on the interval -π, π.

Q: 2. (a) Show that gi(t)g2(t) G₁(f) * G₂(f) where denotes convolution and gi(t) = G₁(f), 92(t)=G₂(f).…

A: We start with the time-domain signals and their Fourier transforms:Now, the convolution in the time…

Q: Could you explain to me how to find the inverse Fourier transform of the function __ (w+4)² 32 a.…

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Q: (b) Find the inverse Fourier transform of the following: (11) 1 √w√2π (3+jw)

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Q: The question involves finding the inverse Fourier Transform of the following functions:

A: see the attachment given below for details.Explanation: