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.
<strong>The</strong> <strong>Fourier</strong> <strong>Transform</strong> <strong>and</strong> <strong>its</strong> <strong>applications</strong><br />
contents:<br />
● ma<strong>the</strong>matical basis<br />
– definition, properties, cos-, sine-transform<br />
– convolution, autocorrelation, power spectrum<br />
– often used functions (hat, sinc, ...), δ-function<br />
– FT <strong>the</strong>orems, properties of moments<br />
– periodic functions, <strong>Fourier</strong> series<br />
– discrete <strong>Fourier</strong> transform, FFT<br />
– FT in higher dimensions, cylinder-, spherical coordinates<br />
● signal processing: filtering, sampling, reconstruction<br />
● statistics: mean/variance,central limit <strong>the</strong>orem, noise, correlation <strong>and</strong> drift<br />
● optics: diffraction, antenna <strong>the</strong>orem, interferometry<br />
<strong>The</strong> <strong>Fourier</strong> <strong>Transform</strong> <strong>and</strong> <strong>its</strong> Applications, Jürgen Stutzki, Sommersemester 2007<br />
Page 4
Change language