1. Signals and Systems
EE235
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2. Unstable
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3. Today’s menu
Review Duality
Sample Final
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4. Duality of Fourier Transform
Duality (very neat):
Duality of the Fourier transform: If time domain signal f(t) has Fourier transform F(), then F(t) has Fourier transform 2 f(-)
i.e. if:
Then:
Changed sign 4
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5. Duality of Fourier Transform (Example)
Using this pair:
Find the FT of
Where T=5 5
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6. Duality of Fourier Transform (Example)
Using this pair:
Find the FT of 6
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7. Convolution/Multiplication Example
Given f(t)=cos(t)e–tu(t) what is F() 7
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8. More Fourier Transform Properties
time domain Fourier transform
Duality
Time-scaling
Multiplication
Differentiation
Integration
Conjugation
Dual of convolution 8 8
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9. Fourier Transform Pairs (Recap)
Review: 1 9 9
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10. Sample Final
Review: 10 10
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11. Sample Final
Review: 11 11
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12. Sample Final
Review: 12 12
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13. Sample Final
Review: 13 13
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14. Sample Final
Review: 14 14
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15. Sample Final
Review: 15 15
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16. Sample Final
Review: 16 16
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