Design of regular wavelets using a three-step lifting scheme

We propose structural multidimensional multi-channel filter banks with desirable numbers of vanishing moments for the analysis and synthesis banks. For a two-channel filter bank, we use a threestep lifting scheme as opposed to the conventional two-step lifting method in order to provide more symmetry between the analysis and synthesis filters. We show that the resulting filters have more regularity, lower frame bounds ratio, and better frequency selectivity. We also extend our design to a general multi-channel framework. Three steps of lifting scheme provides us a degree of freedom which we can benefit from toward a more flexible design.

• Type: Journal
• Year: 2010
• Where: TSP
• Authors: Ramin Eslami, Hayder Radha
• Keywords: Artificial Intelligence, Conventional Two-step Lifting, Filter Bank, Multi-channel Filter Banks, TSP 2010