一般二维数字系统的低噪声优化实现
OPTIMAL STATE-SPACE REALIZATIONS OF GENERAL 2-D DIGITAL SYSTEMS WITH LOW ROUNDOFF NOISE
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摘要: 本文给出了一般二维数字系统的两种高效率状态空间结构;导出了这两种结构的能控性和能观性格拉姆矩阵的有关性质;建立了二维数字系统定点运算的全局噪声模型;据此获得了一般二维数字系统低噪声、高效率的优化实现,文中举例说明了本文的两种结构的噪声性能和计算效率各不相同。Abstract: Two computationally efficient state-space structures for general 2-D digital systems described by Roesser s local state-space model are presented. Some properties of controllability and observability Gramians of the above two structures are derived. The overall roundoff noise model of 2-D digital systems implemented with fixed-point arithmetic is given. On the basis of the above theory, the low roundoff noise optimal state-space realizations of general 2-D digital systems are obtained. Finally, an example is given to demonstrate the differences of round- off noise arid computational efficiency between the above two structures.
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