A structural characterization of compactly supported OEP-based balanced dual multiframelets

Compared to scalar framelets, multiframelets have certain advantages, such as relatively smaller supports on generators, high vanishing moments, etc. The balancing property of is very desired, it reflects how efficient vector-valued data can be processed under the corresponding discrete multiframelet transform. Most literature studying balanced from point view function setting, but few approaches are aspect filter banks. In this paper, we study structural characterizations dual Oblique Extension Principle (OEP). OEP naturally connects framelets with banks, which makes a handy tool for analyzing properties framelets. With OEP, shall characterize compactly supported through concept moment correction filters, key notion that will introduced in our investigation. results paper demonstrate what essential structures has most general and bring us more complete picture understand their underlying transforms.