Fischer The basic goal of this research is to develop general analysis and design methods for multidimensional filter bank signal decompositions, featuring non-rectangular spectral partitions, and to integrate such methods with novel source coding techniques to produce a family of effective and efficient image and video coders. The work focuses on the following four tasks: 1. design exact/near-exact reconstruction multidimensional multirate filter banks for a variety of non-rectangular spectral partitions; 2. develop a theory for the subband coding gain and coder performance of multidimensional multirate filter bank source coders, emphasizing the filter banks developed in 1; 3. develop a theory for the influence of perceptual weighting functions in subband coding systems; and 4. determine a theory for the performance of linear prediction in a multirate filter bank signal decomposition, with emphasis on the source coding application. Fixed, forward adaptive, and backward adaptive prediction are being considered.
