Polyphase matrix characterization of framelets on local fields of positive characteristic

Abstract

An important tool for the construction of framelets on local fields of positive characteristic using unitary extension principle was presented by Shah and Debnath [Tight wavelet frames on local fields, Analysis, 33 (2013), 293-307]. In this article, we continue the study of framelets on local fields and present a polyphase matrix characterization of framelets generated by the extension principle.

Keywords

• wavelet frame
• framelet
• wavelet mask
• polyphase matrix
• local field
• extension principle
• fourier transform
• 42c40
• 42c15
• 43a70
• 11s85