Question 4-) Let Fourier Transform of the signal r(t) be X(jw). Assume that g(t) satisfies the equation g(t) = X(jt). (a) Show that the Fourier transform G(jw) of g(t) has the shape of 2x(−t), that is G(jw) = 2nx(-w). (b) Using the fact that F{d(t + ß)} F{eißt} = 2nd(w – ß). ew with the result from part a, show that
Question 4-) Let Fourier Transform of the signal r(t) be X(jw). Assume that g(t) satisfies the equation g(t) = X(jt). (a) Show that the Fourier transform G(jw) of g(t) has the shape of 2x(−t), that is G(jw) = 2nx(-w). (b) Using the fact that F{d(t + ß)} F{eißt} = 2nd(w – ß). ew with the result from part a, show that
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Question 4-) Let Fourier Transform of the signal #(t) be X(jw). Assume that g(t)
satisfies the equation g(t) = X(jt).
(a) Show that the Fourier transform G(jw) of g(t) has the shape of 2nx(-t), that is
G(jw) = 2rx(-w).
(b) Using the fact that F{8(t+ B)} = e]$w with the result from part a, show that
F{ej$t} = 2nd(w – B).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9b2a5135-d197-48a8-81e3-f973aea4605b%2F5eecc029-2001-465c-a63a-d250bf8952a3%2Fs6935gq_processed.png&w=3840&q=75)
Transcribed Image Text:Question 4-) Let Fourier Transform of the signal #(t) be X(jw). Assume that g(t)
satisfies the equation g(t) = X(jt).
(a) Show that the Fourier transform G(jw) of g(t) has the shape of 2nx(-t), that is
G(jw) = 2rx(-w).
(b) Using the fact that F{8(t+ B)} = e]$w with the result from part a, show that
F{ej$t} = 2nd(w – B).
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