| 引用本文: | 郭九汉,孙仲康.α-β法中数据粗量化输入时输出误差上限的分析.[J].国防科技大学学报,1983,(1):93-108.[点击复制] |
| Guo Jiuhan,Sun Zhongkang.The Upper Limit of Output Estimation Error for Coarse Quantized Input in α-β Filter[J].Journal of National University of Defense Technology,1983,(1):93-108[点击复制] |
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| α-β法中数据粗量化输入时输出误差上限的分析 |
| 郭九汉, 孙仲康 |
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| 摘要: |
| 本文从 α-β恒增益滤波器的估值递推方程出发，推导了数据粗量化输入时，该系统因量化误差引起的输出估值误差的上限公式，并针对 α-β 滤波系统稳定域中三个不同区域的粗量化误差上限进行了数值计算。计算结果表明，这三个区域的误差上限数值范围略有不同，但总的来说，该系统在稳态工作情况下输出粗量化误差的上限在 (0.5q～0.75q) 之间。显然由这种方法计算出的误差上限比实际输出的粗量化误差要大，但对于输入量化误差不能被看作均匀分布白噪声的粗量化输入的情况，这种分析方法可供误差分析的参考。 |
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| 投稿日期：1982-05-08 |
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| The Upper Limit of Output Estimation Error for Coarse Quantized Input in α-β Filter |
| Guo Jiuhan, Sun Zhongkang |
| Abstract: |
| Utilizing the recursive equation of estimation of the constant gain α-β filter，the upper limit of the output estimation error is derived for coarse quantized input data. Numerical results of the upper limit of output estimation error for three different regions in the stable triangle of α-β filter are evaluated. Although the detail values of upper limit in respect to the three different regions are slightly different，numerical results express that the upper limit values of output estimation error are in the range of (0.5q～0.75q). Obviously，the computed upper limit values of output estimation error are always larger than the instantaneous values of output error; but the concept of this upper limit is useful for error analysis when input quantization error can not be treated as a white noise with uniform distribution. |
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