| 引用本文: | 赵慎,杨俊,乔纯捷,等.基于拉盖尔模型的超声信号渡越时间测量性能分析.[J].国防科技大学学报,2013,35(4):128-133 ,175.[点击复制] |
| ZHAO Shen,YANG Jun,QIAO Chunjie,et al.On the performance of time of flight measurement with ultrasonic wave based on laguerre model[J].Journal of National University of Defense Technology,2013,35(4):128-133 ,175[点击复制] |
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| 基于拉盖尔模型的超声信号渡越时间测量性能分析 |
| 赵慎, 杨俊, 乔纯捷, 王跃科 |
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(国防科技大学 机电工程与自动化学院，湖南 长沙 410073)
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| 摘要: |
| 传统窄带模型仅能通过数值计算统计出超声信号渡越时间的测量性能。针对这一问题，提出基于拉盖尔模型计算理论克拉下限的方法。研究了拉盖尔函数及其时间导数的性质，得到时间导数内积矩阵，并将其应用到费舍尔矩阵中，能够快速精确计算克拉下限。对混合指数模型仿真表明，在高斯白噪声背景下，渡越时间方差与理论克拉下限具有良好的一致性；受窄带噪声和反射等因素影响，实测数据的渡越时间方差与理论克拉下限存在较大偏差。 |
| 关键词: 超声信号 渡越时间 拉盖尔模型 克拉下限 混合指数模型 |
| DOI： |
| 投稿日期：2013-01-22 |
| 基金项目: |
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| On the performance of time of flight measurement with ultrasonic wave based on laguerre model |
| ZHAO Shen, YANG Jun, QIAO Chunjie, WANG Yueke |
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(College of Mechatronics Engineering and Automation, National University of Defense Technology, Changsha 410073, China)
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| Abstract: |
| The performance of ToF (Time of Flight) measurement for ultrasonic wave can be obtained only by numeric calculation in traditional narrow band model. To this problem, a method based on Laguerre model is proposed for CRLB (Cramer-Rao Lower Bound) calculation. The characteristics of Lagueree function and its time derivative were studied, and the time derivative inner matrix was derived, which was applied in Fisher matrix, then the CRLB can be calculated fast and accurately. The simulation on hybrid exponential model polluted by Gaussian white noise testified the well coherence between the variance of ToF and the theoretic CRLB obtained with Laguerre model. The variance of ToF obtained by real data has great difference with the theoretic bound for the impact of narrow band noise and reverberant interference. |
| Keywords: Ultrasonic signal time of flight Laguerre model Cramer Rao lower bound hybrid exponential model |
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