| 一般二维数字系统的低噪声优化实现 |
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| 引用本文： | 肖承山,冯振明.一般二维数字系统的低噪声优化实现[J].电子与信息学报,1993,15(3):225-234. |
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| 作者姓名： | 肖承山 冯振明 |
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| 作者单位： | 清华大学电子工程系，清华大学电子工程系 北京 100084，北京 100084 |
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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。
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| 关 键 词： | 二维数字系统 状态空间实现 舍入噪声 优化 |
| 收稿时间： | 1992-3-5 |
| 修稿时间： | 1992-8-20 |
OPTIMAL STATE-SPACE REALIZATIONS OF GENERAL 2-D DIGITAL SYSTEMS WITH LOW ROUNDOFF NOISE |
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| Xiao Chengshan,Feng Zhenming.OPTIMAL STATE-SPACE REALIZATIONS OF GENERAL 2-D DIGITAL SYSTEMS WITH LOW ROUNDOFF NOISE[J].Journal of Electronics & Information Technology,1993,15(3):225-234. |
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| Authors: | Xiao Chengshan Feng Zhenming |
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| Affiliation: | Tsinghua University, Beijing 100084 |
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| 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 roundoff noise and computational efficiency between the above two structures. |
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| Keywords: | 2-D digital systems State-space relazations Roundoff noise Optimization |
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