The Fourier transform of the triangular pulse x(t) in Fig. P7.3-4 is expressed as 1 X(a) (e Jjwe Jo-1) Use this information, and the time-shifting and time-scaling properties, to find the Fourier trans- forms of the signals x;(t)(i= 1,2,3,4,5) shown in Fig. P7.3-4 - 1 0 1 2 -1/3 -1.5 -0.5 0.5 1.5 Figure P7.3-4

The Fourier transform of the triangular pulse x(t) in Fig. P7.3-4 is expressed as 1 X(a) (e Jjwe Jo-1) Use this information, and the time-shifting and time-scaling properties, to find the Fourier trans- forms of the signals x;(t)(i= 1,2,3,4,5) shown in Fig. P7.3-4 - 1 0 1 2 -1/3 -1.5 -0.5 0.5 1.5 Figure P7.3-4

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

Determine a matrix representation if possible for each mapping in the problem.

The Fourier transform of the triangular pulse
x(t) in Fig. P7.3-4 is expressed as
1
X(a)
(e Jjwe Jo-1)
Use this information, and the time-shifting and
time-scaling properties, to find the Fourier trans-
forms of the signals x;(t)(i= 1,2,3,4,5) shown
in Fig. P7.3-4

- 1
0
1
2
-1/3
-1.5
-0.5
0.5
1.5
Figure P7.3-4

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