Vector Signal Processing and its Applications of Image Coding

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In this article, we proposed a lattice structure and a design for orthogonal and biorthogonal multiwavelets to process vector signals. First we factorize the polyphase matrices of symmetric and anti-Symmetric multifilter bank into elementary low-order building blocks. Second, We transform a tree-structured multiwavelet system into an equivalent scalar filter balk in order to design optimal muitifilter banks, Simulation results show that the proposed orthogonal and biorthogonal multiwavelets have superior performance to the populous multiwavelet SA4 and the (9,7)-tap wavelet.In second year, we presented the smooth signal extension for M-channel paraunitaly filter banks without increasing the total number of signal. First we derive a condition for solving the coefficient expansion problem. Second, we calculate a smooth extended signal under the condition by singular value decomposition. Finally, we design 8 channel 16 tap paraunitary filter bank using lattice structure, and several image coding and extended signal examples are shown to confirm the validity of the proposed approach.