b) ylt) = 4 a- 3) %3D I(t) 4To Selue this questun wue mesed to uae timo rounaal, time bifing tmo Shifting Prufucdy Armplitido saling Jwto Xlt+to) X(w) e azlt) z axlw) tume rausrsal fime dealing Nease do X(-E) Z X(-W) Xlat) 지용) X(at) step by step lal 9 x (-t) = X(-w) 지1-능) 3x시- 3w) 4 X(-$) = 12 X(-3w) jow 4x(-lt+9)) 12×(-3w) e° jaw Ylw) = 12 X (-3w) e

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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A I aksed you in the last quation, I dont understand in the detail of some step, I already mention in the picture, Thank you

Question 1. For the signal r(t) in Fig. 1:
(la) Using the definition of the Fourier transform, find X(w).
(1b) Using the following properties of the Fourier transform: time scaling,
time shifting and amplitude scaling, find the Fourier transform Y(w) of
(8 --)-» = (1)a
) = 4x(-
in terms of X(w).
x(1)
T
Fig. 1. z(t) for Q.1
b)
y1t) = 4 x( -3)
11) x(-) AX(t +9)]
I(t)
4 To Selue this questun we mesed to tae timo romnanl, tume Shflang
tomo Sifting Prafudy
Amplitido saling
Jwto
alt+to) X(w) e
axlt) z axlw)
fume Saling
Nease do
tume qeuernal
X(-t) Z X(-w)
Xlat) 지음)
a step by step
x (-t) = X(-w)
(toimo oueral)
X1-능) ← 3x -3w)
4지L ) 12x (-3w)
4x(-lt+9)) 12×(-3w)
:.
Y(w) =
jaw
12X (-3w) e
Transcribed Image Text:Question 1. For the signal r(t) in Fig. 1: (la) Using the definition of the Fourier transform, find X(w). (1b) Using the following properties of the Fourier transform: time scaling, time shifting and amplitude scaling, find the Fourier transform Y(w) of (8 --)-» = (1)a ) = 4x(- in terms of X(w). x(1) T Fig. 1. z(t) for Q.1 b) y1t) = 4 x( -3) 11) x(-) AX(t +9)] I(t) 4 To Selue this questun we mesed to tae timo romnanl, tume Shflang tomo Sifting Prafudy Amplitido saling Jwto alt+to) X(w) e axlt) z axlw) fume Saling Nease do tume qeuernal X(-t) Z X(-w) Xlat) 지음) a step by step x (-t) = X(-w) (toimo oueral) X1-능) ← 3x -3w) 4지L ) 12x (-3w) 4x(-lt+9)) 12×(-3w) :. Y(w) = jaw 12X (-3w) e
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