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The /spl alpha/-/spl beta/-/spl Gamma/ tracking filter with a noisy jerk as the maneuver model: frequency domain solution

机译:/ spl alpha /-/ spl beta /-/ spl Gamma /跟踪过滤器,带有嘈杂的混响作为操纵模型:频域解决方案

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摘要

An analysis of a discrete constant gain /spl alpha/-/spl beta/-/spl Gamma/ tracking filter is presented in frequency domain. The target is assumed to be moving with constant acceleration and is acted upon by an uncorrelated zero mean noise jerk which perturbs its constant acceleration motion. Closed-formed results for estimating optimum steady-state position, velocity, and acceleration of the target are given along with the code for simple program that computes the gains for a given tracking index. While the results [2 and 4] are correct, the gains can be found in a much simpler manner The stability analysis of the optimal tracking filter yields the selection of the quartic equation root.
机译:在频域中对离散恒定增益/ spl alpha /-/ spl beta /-/ spl Gamma /跟踪滤波器进行了分析。假定目标以恒定的加速度运动,并受到不相关的零平均噪声冲击,该扰动会扰动其恒定的加速度运动。给出了用于估计目标的最佳稳态位置,速度和加速度的闭式结果,以及用于为给定跟踪指数计算增益的简单程序代码。虽然结果[2和4]是正确的,但可以用一种更简单的方式找到增益。最佳跟踪滤波器的稳定性分析产生了四次方程根的选择。

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