Table of Contents
Prednaska 2 -Fourier transform
Fourier transform
time{t} → frequency
- diracuv impuls
- jednotkovy skok
square
- 1(x+k)-1(x-k) ⇔ 1/pi*u sin (2piku)
- vypocet fourier - sinc http://en.wikipedia.org/wiki/Sinc_function
Linearita
<m>af(x)+bf(x) doubleleftright aF(u)+bF(u)</m>
Praselval's theorem (Parsevalova rovnost)
Convolution theorem (Konvolucni teorem)
Shift theorem (Posunuti v obraze)
Fourier transform 2D
position{x,y} ⇐⇒ frequency & orientation{u,v} <m>Omicron(N^4)</m>
Fast Fourier transform
<m>Omicron(N^2log N)</m>
Samling theorem (Vzorkovaci teorem)
Nyquist frequency: <m>f_max ⇐ 1/2delta</m>
