To search, Click below search items.


All Published Papers Search Service


On Construction of framelet packets on local fields with positive characteristic


Zohreh Rahbani


Vol. 17  No. 1  pp. 48-53


In the present paper, using the prime member of local field with positive characteristic, some concept of multiresolution analysis (MRA) and wavelets were extended to such fields. The separation lemma was proved and applying this lemma, the wavelet packets related to multiresolution analysis was built. Also it is shown that these wavelet packets translations produces one unique orthogonal basis for desired local fields. The separation lemma for frames was proved and then, it was used to construct framelets.


wavelet, multiresolusion analysis, local field, wavelet packets, wavelet frame packets, positive characteristic