Find the Fourier Transform of the following signals: 1. x(t) = 8(-t) %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the Fourier Transform of the following signals:
1. x(t) = 8(-t)
2. x(t) = 8(t+5)
3. х(+) — 8( — 2)
4. х() %— 4t — 3)
5. x(t)=e"u(-t)
Transcribed Image Text:Find the Fourier Transform of the following signals: 1. x(t) = 8(-t) 2. x(t) = 8(t+5) 3. х(+) — 8( — 2) 4. х() %— 4t — 3) 5. x(t)=e"u(-t)
EETE3110 Signals & Systems
X(2) =
'dt +
-" dt +
1-N) dt +
-(1+j2) dt
-00
e(l+ jN)t
1
1
(1- jN)
- (1+ jN)|o
1- jN 1+ jN 1+Q²
To plot the Magnitude Spectrum |X(2)|
1+Q²
Ω
2
0.2
- 00
-2
0.2
Table 3. 2 Magnitude verses angular frequency for x(t)=e
Transcribed Image Text:EETE3110 Signals & Systems X(2) = 'dt + -" dt + 1-N) dt + -(1+j2) dt -00 e(l+ jN)t 1 1 (1- jN) - (1+ jN)|o 1- jN 1+ jN 1+Q² To plot the Magnitude Spectrum |X(2)| 1+Q² Ω 2 0.2 - 00 -2 0.2 Table 3. 2 Magnitude verses angular frequency for x(t)=e
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