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7.10 Single-Sided Exponential

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Presentation on theme: "7.10 Single-Sided Exponential"— Presentation transcript:

1 7.10 Single-Sided Exponential
even/odd decomposition of the single-sided exponential transform of the even part decomposition of the odd part using the sign() function decomposition of the odd part using the derivative theorem writing the transform as a phase-shifted cosine graphical depiction of the spectrum 7.10 : 1/8

2 Even/Odd Decomposition
7.10 : 2/8

3 Transform of Even Exponential
7.10 : 3/8

4 Decomposition of Odd Exponential
Using the sign(t) function. ? 1/2 -t t -1/2 1 t -1 7.10 : 4/8

5 Decomposition of Odd Exponential
Using the derivative theorem. 7.10 : 5/8

6 Transform as a Phase-Shifted Cosine
The real and imaginary parts of the spectrum. Amplitude in the complex plane. The phase in the complex plane. 7.10 : 6/8

7 Graphical Depiction 7.10 : 7/8

8 Three-Dimensional Graph
7.10 : 8/8


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