Find the Fourier Transform of the signal x(t)=e" and sketch the magnitude spectrum

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Example 3:
Find the Fourier Transform of the signal x(t) =e and sketch the magnitude
spectrum
Transcribed Image Text:Example 3: Find the Fourier Transform of the signal x(t) =e and sketch the magnitude spectrum
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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