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Haar Functions

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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 (March 2011)
Open content licensed under CC BY-NC-SA

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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 .

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