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Given a multiscaling function with symbol $H(z)$, its low-pass product filter has the symbol $P(z) = H(z) H(z)^*$. We are interested in finding $H(z)$, given a $P(z)$ with desirable features. Unfortunately, desirable $P(z)$ cause numerical problems with the factorization algorithm. I will describe the setup of the problem, and various attempts to speed up its convergence and improve accuracy.
This presentation is part of Contributed Presentation “CP5 - Contributed session 5”