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9. Prove the following Fourier Transform properties: x(t) d" · x(t) x(t — а) ej2n fot . x(t) X(f) = F[x(t)] (jw)" · X(f) e-jwa . X(f) X(f – fo) x(а:t) 1 X x1 (t) · x2(t – t) ·dt X, (t) · X2(t)

9. Prove the following Fourier Transform properties: x(t) d" · x(t) x(t — а) ej2n fot . x(t) X(f) = F[x(t)] (jw)" · X(f) e-jwa . X(f) X(f – fo) x(а:t) 1 X x1 (t) · x2(t – t) ·dt X, (t) · X2(t)

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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9. Prove the following Fourier Transform properties: x(t) dn · x(t) x(t – a) ej2n fot . x(t) X(f) = F[x(t)] (jw)" · X (f) e-jwa , X(f) X(f – fo) 1 x(a· t) |a| +00 | X1 (t) · x2 (t – t) · dt X1(t) · X2(t)
Transcribed Image Text:9. Prove the following Fourier Transform properties: x(t) dn · x(t) x(t – a) ej2n fot . x(t) X(f) = F[x(t)] (jw)" · X (f) e-jwa , X(f) X(f – fo) 1 x(a· t) |a| +00 | X1 (t) · x2 (t – t) · dt X1(t) · X2(t)
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