L12 - OPTI 280 Computer Programming Workshop Houssine Makhlouf College of Optical Sciences University of Arizona [email protected] OPTI

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
OPTI 280 Spring 2010 Lecture 12 H. Makhlouf, 1 OPTI 280: Computer Programming Workshop Houssine Makhlouf College of Optical Sciences, University of Arizona [email protected]
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
OPTI 280 Spring 2010 Lecture 12 H. Makhlouf, 2 Lecture content Fourier analysis Fourier series Decomposition of functions into a sum of simple functions Fourier transform Computation of frequency content (spectrum) of a function
Background image of page 2
OPTI 280 Spring 2010 Lecture 12 H. Makhlouf, 3 Fourier analysis In science and engineering, Fourier analysis is the process of decomposing a function into simpler pieces Rebuilding the function from these pieces is called synthesis
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
OPTI 280 Spring 2010 Lecture 12 H. Makhlouf, 4 General simplified application System (optical, electronic circuit…) Input Output ) ( ... ) ( ) ( ) ( 2 2 1 1 x f a x f a x f a x f n n ) ( ... ) ( ) ( ) ( 2 2 1 1 x g a x g a x g a x g n n ) ( x f ) ( x g Decomposition of input into simple functions with known response from system: If system response to f i (x) is g i (x), overall response is:
Background image of page 4
Image of page 5
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 05/23/2010 for the course OPTI 280 taught by Professor Pau during the Spring '10 term at University of Arizona- Tucson.

Page1 / 19

L12 - OPTI 280 Computer Programming Workshop Houssine Makhlouf College of Optical Sciences University of Arizona [email protected] OPTI

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online