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How to reconstruct a signal using the Discrete Haar Wavelet transform?

  1. May 3, 2013 #1
    1. The problem statement, all variables and given/known data

    Hi, for a project for school, I need to implement the Discrete Haar Wavelet Transform to compress an audio signal. This would be fine and dandy, but I do not really understand how to use the the DHWT. Could anyone direct me towards some resources that would be very helpful in my understanding? If someone could provide a step-by-step algorithm that goes through the deconstruction and reconstruction of the signal, that would be nice. The textbook that I'm using is a math textbook, so it is more interested in proving properties of the filters & wavelets instead giving examples and exercises. This is great, until I actually need to apply it towards something.

    2. Relevant equations
    I know that there are vector spaces V and W that are orthogonal to each other; V is associated with the scaling function ∅, W is associated with the mother wavelet ψ. I think the first step in the DHWT is to pick a resolution j, but beyond that I don't understand.

    3. The attempt at a solution
     
  2. jcsd
  3. May 4, 2013 #2

    NascentOxygen

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    Staff: Mentor

  4. May 4, 2013 #3
    Sorry, I had seen that resource and it's much different from what we've done in class.
     
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