Date: Apr. 1, 3:30 pm in 4610 Engineering Hall Title: Linear Phase Perfect Reconstruction Filter Banks and Application in Image Compression Speaker: Trac Tran, ECE Department Abstract: There has been a tremendous growth in the field of filter banks (FB) and multirate systems in the last fifteen years. These systems provide new and effective ways to represent digital signals for computation, understanding, and compression purposes. Filter banks find applications in virtually every signal processing field. Obviously, of extreme importance is the ability to design a FB that can fully exploit the properties and nature of a particular signal or application. This presentation focuses on the theory, structure, design, and implementation of discrete-time FIR linear phase perfect reconstruction filter banks (LPPRFB) with arbitrary M channels. All of the novel FB to be presented are obtained from the attractive approach of FB's parameterization by lattice structures based on the factorization of the analysis and synthesis polyphase matrices. The lattice structurally enforces the LP and PR properties on the FB such that these crucial properties are retained regardless of coefficient quantization. M-channel LPPRFB can also be viewed as lembedded coder, can reach up to an astounding 2.6 dB. Future research directions and applications, including video compression, analysis/compression/processing of medical signals, M-band wavelets, and multicarrier modulation, will also be discussed.