A.) Use a change of variables to generate expressions for 6 (t-t) and 6(w-wo) B. ) Use the expressions you just derived to show that & (t-t)=6(t-t) and S(w-wo)=6(wo-w) C.) Using your integral representations for 6, show that the following are Fourier pairs e^jwot<>2pi8(w-wo) 2pi6(t-to)<>e^jwT
A.) Use a change of variables to generate expressions for 6 (t-t) and 6(w-wo) B. ) Use the expressions you just derived to show that & (t-t)=6(t-t) and S(w-wo)=6(wo-w) C.) Using your integral representations for 6, show that the following are Fourier pairs e^jwot<>2pi8(w-wo) 2pi6(t-to)<>e^jwT
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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Transcribed Image Text:A.) Use a change of variables to generate expressions for 6 (t-t) and 6(w-wo)
B. ) Use the expressions you just derived to show that & (t-t)=6(t-t) and
S(w-wo)=6(wo-w)
C.) Using your integral representations for 6, show that the following are Fourier
pairs
e^jwot<>2pi8(w-wo)
2pi6(t-to)<>e^jwT
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