A Recursive Approach to the Construction of k-Balanced Biorthogonal Multifilters
PADOVA UNIV (ITALY) DEPT OF PURE AND APPLIED MATHEMATICS
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In this paper we discuss some numerical aspects of a particular construction of balanced biorthogonal multifilters by means of the lifting scheme. This construction allows, by simply solving linear equations, to obtain multifilters which do not need prefiltering, and for which the discrete versions of polynomial preservationannihilation properties, are respectively, satisfied by their low and high-pass branches. In particular, we conduct experiments on how a parameter which appears in our recursive definition of balancing can be chosen to suitably influence the spectral behaviour of the multifilter low-pass branch, making it more effective in image compression problems.
- Numerical Mathematics
- Theoretical Mathematics