This preview shows pages 1–5. Sign up to view the full content.
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]
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document 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
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
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document 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:
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.
 Spring '10
 Pau

Click to edit the document details