(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Given the following [tex]p_k[/tex] scaling coefficients and the following wavelet relations, find all four filters corresponding to these coefficients: low-pass decomposition, high-pass decomposition, low-pass reconstruction, and high-pass reconstruction.

2. Relevant equations

[tex]\phi (x)= p_0\phi (2x) + p_1\phi (2x-1) + p_2\phi (2x-2) + p_3\phi (2x-3)[/tex]

[tex]\psi (x)=p_3\phi (2x+2) - p_2\phi (2x+1) + p_1\phi (2x) - p_0\phi (2x-1)[/tex]

3. The attempt at a solution

I just need help knowing how to start this problem. I've been looking throughout my book for the equations of the filters. I don't really understand how to design the filters from the wavelet relations.

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# Homework Help: Wavelets Analysis

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