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{ Abstract / Résumé }
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
{ Appendix A }
{ Appendix B }
{ Appendix C }
Ph.D.  /  { Web Version }  /  Appendix  /  { Appendix D }  /  D.1 : Fourier Transforms
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{ Appendix E }
D.2 : Gaussian Function
D.3.1 : Matlab FFT and Gaussian example (Theory)
D.3.2 : Matlab FFT and Gaussian example (Example)
D.4 : References

D.1      Fourier Transforms

D.1.1      Definition

Several notations and conventions are in use for Fourier transforms. In this work, the following relations are used [D-1]

(D-1)


(D-2)

where TF and TF-1 are the Fourier transform and inverse Fourier transform respectively.

D.1.2      Properties

Some fundamental properties are summarized hereafter

(D-3)


(D-4)



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