Mean size of wavelet packets
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Related Research Unit(s)
|Journal / Publication||Applied and Computational Harmonic Analysis|
|Publication status||Published - Jul 2002|
|Link to Scopus||https://www.scopus.com/record/display.uri?eid=2-s2.0-0038511892&origin=recordpage|
We study the mean size of wavelet packets in Lp. An exact formula for the mean size is given in terms of the p-norm joint spectral radius. This will be a corollary of an asymptotic formula for the Lp norms on the subdivision trees. Then the stability and Schauder basis property of wavelet packets in Lp, and the instability of biorthogonal wavelet packets in L2 are analyzed. © 2002 Elsevier Science (USA). All rights reserved.
- Joint spectral radius, Schauder basis, Stability, Subdivision sequence, Subdivision tree, Wavelet packets