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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
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