On necessary and sufficient conditions for perfect reconstruction multidimensional delay chain systems
作者： Xiang-Gen Xia , B.W. Suter , M.E. Oxley
DOI: 10.1109/78.388867
关键词: Chain (algebraic topology) 、 Matrix (mathematics) 、 Chain system 、 Signal reconstruction 、 Discrete mathematics 、 Sampling (statistics) 、 Signal processing 、 Perfect reconstruction 、 Mathematics 、 Multidimensional systems 、 Control theory
摘要: We present some necessary and sufficient conditions for a perfect reconstruction (PR) modified multidimensional (MD) delay chain system. With these results, one is able to systematically check if D-dimensional system with D/spl times/D sampling matrix M L has PR property in simpler way than before, where the module operations are avoided. Moreover, given M, many cases can determine all possible matrices so that systems have property. Several examples provided. also method generate such their corresponding traditional MD PR. >
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