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Urgent!! How to get wavelet filter coefficients..

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odesus

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Dear Community:

I'm working with wavelet theory. Nonetheless I've found many difficulties in find how to get numeric values of the 2 principal filters (commonly named g and h). I mean, I need to know how I can propose a concrete values for g and h filters in quadrature mirror filtering.

I really appreciate a numeric example. I know g and h are mirror filter, so one of them is the reflect of another. But I need when you working with wavelets how determine these numeric values with scale and time, I'm insist please provide me a numeric example 'cos wavelet theory in books is not too much explicit, overall when you time is almost over for a significative advantage.

Many thanks.[/i]
 

Please, go through this book

Wavelets and Filter Banks
Author(s) Gilbert Strang, Truong Nguyen

Publisher Wellesley Cambridge
 

I think that you can use matlab to get the filter coefficients of wavelet through the wavelet tool box.
 

Thanks for your suggestions.

I finally understand how to get h and g filters. The principal form of wavelet according to linear combination of some subspaces are:

Φ(x)= Σk h(k)√2Φ(2x-k)

k value is known formally as resolution then Φ(x) is the wavelet in question, like haar or daubechies. If we know Φ(x) for haar is always 1; just we need to substitute haar wavelet in expresion and k is just what part of h or g values we need:

for h(0): h(0)=Φ(x)/(√2Φ(2x))=1/√2 which is equal to h(1).

I don't know why many texts about wavelet transform make this fabulous tool very difficult to understand. Wavelet are easy and I think the principal goal for understand wavelets is the point of view about energy.

Wavelets just resposition the energy of original signal after transformation, that's way, talking about harmonics although is important here.. It's most important how energy is distributed in energy graphics.

I think I'm going to put a large explanation in future about how wavelet works but in A PRACTICAL WAY!! the principal reasons.. It's very important theorical part but as engineers we need to keep in mind always practical view of things.

Many thanks to all. :D
 

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