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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
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The Haar functions may be defined with respect to the "mother wavelet"

, defined by

For integers

and

, the Haar functions are then defined as

.

Haar Function (Wolfram MathWorld)

Wavelet (Wolfram MathWorld)

"Haar Functions" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/HaarFunctions/

Contributed by: Peter Falloon

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