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The discrete dyadic wavelet transform decomposize a signal into a series of wavelet coefficients that has the same length with the raw signal. There are many redundant in them.
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Raw signal and wavelet coefficients
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If the wavelet filters  are orthogonal, we can remove redundant data by down sampling the filtered signal. The wavelet that is used to define orthogonal filter  is called orthogonal wavelet. The wavelet transform is called orthogonal wavelet transform.
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Algorithm of orthogonal wavelet transform
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Raw signal and orthogonal wavelet coefficients
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To help users to understand basic concepts of orthogonal wavelet, we design a Java program to show the procedure of orthogonal wavelet transform.
(Not aviable here, it is a part of the web course "Wavelet Tutorial" )
Orthogonal Wavelet Transform(Haar)
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