@Article{ATA-28-385, author = {}, title = {Non-Orthogonal $p$-Wavelet Packets on the Half-Line}, journal = {Analysis in Theory and Applications}, year = {2012}, volume = {28}, number = {4}, pages = {385--396}, abstract = {

In this paper, the notion of $p$-wavelet packets on the positive half-line $\mathbb{R}^+$ is introduced. A new method for constructing non-orthogonal wavelet packets related to Walsh functions is developed by splitting the wavelet subspaces directly instead of using the low-pass and high-pass filters associated with the multiresolution analysis as used in the classical theory of wavelet packets. Further, the method overcomes the difficulty of constructing non-orthogonal wavelet packets of the dilation factor $p > 2$.

}, issn = {1573-8175}, doi = {https://doi.org/10.3969/j.issn.1672-4070.2012.04.007}, url = {http://global-sci.org/intro/article_detail/ata/4572.html} }