10809
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Haar Functions
This Demonstration shows the Haar functions
, defined on the unit interval
for integers
, where
and
. They form a complete orthogonal set on
and constitute the simplest type of wavelet.
Contributed by:
Peter Falloon
SNAPSHOTS
DETAILS
The Haar functions may be defined with respect to the "mother wavelet"
, defined by
For integers
and
, the Haar functions are then defined as
.
RELATED LINKS
Haar Function
(
Wolfram
MathWorld
)
Wavelet
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Haar Functions
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/HaarFunctions/
Contributed by:
Peter Falloon
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Haar Function Interval Points
Michael Schreiber
Orthogonality of Two Functions with Weighted Inner Products
Alain Goriely
Riemann's Example of a Continuous but Nowhere Differentiable Function
Michael Trott
Graphs of the Beta Function
Daniel de Souza Carvalho
Average Value of a Function
Michael Largey and Samuel Leung
Integrating a Rational Function with a Cubic Denominator with One Real Root
Izidor Hafner
Detecting a Discontinuity Using a Wavelet Scalogram
Olexandr Eugene Prokopchenko
XFT2D: A 2D Fast Fourier Transform
Rafael G. Campos, J. Jesus Rico Melgoza, and Edgar Chavez
XFT: An Improved Fast Fourier Transform
Rafael G. Campos, J. Jesus Rico Melgoza, and Edgar Chavez
Fourier Transform Pairs
Porscha McRobbie and Eitan Geva
Related Topics
Calculus
Harmonic Analysis
Integrals
Wavelets
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+