基于矩阵分析的同步捕获性能研究新方法
doi: 10.3724/SP.J.1146.2006.01075
A Novel Acquisition Performance Evaluation Approach Based on Matrix Analysis
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摘要: 该文提出了一种利用概率转移矩阵计算捕获传输函数的方法，通过将以往分析方法中的流程图转换为概率转移矩阵，仅需知道一步转移概率矩阵，利用现代计算机编程语言(如MAPLE，MATLAB等)的符号运算功能，即可得到捕获系统的传输函数；通过对传输函数求导，可计算平均捕获时间。矩阵分析方法可完整地计算出捕获系统的传输函数，可弥补流程图方法在分析传统连续搜索捕获方案的传输函数时所忽略的项；可纠正流程图方法在分析非连续搜索捕获方案的传输函数时所引起的误差。Abstract: A novel acquisition performance analysis approach is proposed based on matrix analysis. Given the first step transition probability matrix, the transfer function of acquisition system can be obtained by utilizing the symbol operation function of computer programming such as MAPLE, MATLAB and so on, and the mean acquisition time can be computed by differentiating the transfer function. The transfer function of acquisition system can be computed perfectly by matrix analysis, it not only complements the items neglected in that of conventional serial acquisition scheme but also corrects the error items in that of nonconsecutive acquisition scheme.
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