On the design of perfect reconstruction multiwavelet filter banks

The lifting scheme is a flexible method of designing perfect reconstruction multiwavelet filter banks for signal and image processing. This paper is on the usage of the lifting scheme in constructing such filter banks. It is shown that the constructed filter banks can be implemented very efficiently. Two algorithms on the design of multiwavelet filter banks using the lifting scheme are proposed. One is for the optimization of desirable properties based on the application concerned, and the other is for the reduction of computational complexity in implementation. Two examples are provided to illustrate the main ideas of the paper.