C.4 : References Activate Navigation Menu D.2 : Gaussian Function

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{ Web Version }

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Table of Contents

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{ Abstract / Résumé }

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Chapter 1

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Chapter 2

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Chapter 3

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Chapter 4

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Chapter 5

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Chapter 6

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Chapter 7

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Chapter 8

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Appendix

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{ Appendix A }

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{ Appendix B }

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{ Appendix C }

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{ Appendix D }

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D.1

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D.2

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D.3.1

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D.3.2

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D.4

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{ Appendix E }

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Other parts

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D.1 : Fourier Transforms

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D.2 : Gaussian Function

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D.3.1 : Matlab FFT and Gaussian example (Theory)

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D.3.2 : Matlab FFT and Gaussian example (Example)

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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)




C.4 : References Activate Navigation Menu D.2 : Gaussian Function