The Fourier Transform and its applications goals: present the Fourier ...
The Fourier Transform and its applications goals: present the Fourier ...
The Fourier Transform and its applications goals: present the Fourier ...
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
Remark: usual abbreviation: �=2�� (time: angular frequency) or<br />
gives FT:<br />
<strong>and</strong> back-Trafo f �t � = ∫ −∞<br />
k =2�s (spatial: wavenumber)<br />
F� �<br />
��� =F �<br />
2� �= ∞<br />
∫ −∞<br />
�<br />
−2� i<br />
2�<br />
f �t � e t<br />
∞<br />
dt = ∫<br />
−∞<br />
<strong>The</strong> <strong>Fourier</strong> <strong>Transform</strong> <strong>and</strong> <strong>its</strong> Applications, Jürgen Stutzki, Sommersemester 2007<br />
∞<br />
∞<br />
F ��� e 2�i �t d �=∫ −∞<br />
F � �<br />
2� � ei� t d �<br />
2�<br />
f �t� e −i �t dt<br />
1<br />
=<br />
2� ∫ ∞<br />
−∞<br />
�F ��� e i �t d �<br />
2<br />
math_ground_1a.odt<br />
Page 11
Change language