0
$\begingroup$

I am new to Multiresolution analysis and I can't figure out and find something mathematically convincing of why in multiresolution decomposion the filters are low and high pass. I.e. in the decomposion process the approximate and detail coeffiecients are given by $$a_{j,k}=\sum_{m}h(m-2k)a_{j-1,m} $$ $$d_{j,k}=\sum_{m}g(m-2k)a_{j-1,m} $$ Why $h(n),g(n)$ represent a pair of low/high pass filters ? Any insight would be highly appreciated.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.