I. CALCULATION PART 1. Using integration form of Fourier transform, compute the CTFT for the CT signal x(t) in Fig. 1 00 x(t) X (@) = | x(t)e-jwt dt -00

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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I need help with problem one
I.
CALCULATION PART
1. Using integration form of Fourier transform, compute the CTFT for the CT signal x(t) in Fig. 1
x(t)
00
X (@) = | x(t)e-jutdt
-00
2. The signal x(t) can be expressed as the sum of
two signals; x1(t) and x2(t) ;
x(t)=x1(t)+x2(t)
where, x1 (t) = {6
-1 <t<1
and
otherwise'
-1
+1
+2
t(s)
-1<t< 2
Fig. 1
x2(t)
otherwise
Transcribed Image Text:I. CALCULATION PART 1. Using integration form of Fourier transform, compute the CTFT for the CT signal x(t) in Fig. 1 x(t) 00 X (@) = | x(t)e-jutdt -00 2. The signal x(t) can be expressed as the sum of two signals; x1(t) and x2(t) ; x(t)=x1(t)+x2(t) where, x1 (t) = {6 -1 <t<1 and otherwise' -1 +1 +2 t(s) -1<t< 2 Fig. 1 x2(t) otherwise
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