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首页> 外文期刊>IEEE Transactions on Aerospace and Electronic Systems >Analytical solution of α-β-Γ tracking filter with a noisy jerk as correlated target maneuver model
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Analytical solution of α-β-Γ tracking filter with a noisy jerk as correlated target maneuver model

机译：具有相关干扰的机动模型α-β-Γ跟踪滤波器的解析解

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摘要

An analysis of a discrete constant gain α-β-Γ tracking filter where target acceleration is correlated in time is presented in the frequency domain. The steady-state gain solution for the same tracking filter was given by C.C. Arcasoy (1996) where the maneuver correlation coefficient θ was assumed to be zero. The target was assumed to be moving with constant acceleration motion. The closed-formed results for estimating optimum steady-state position, velocity, and acceleration of the target are given along with the code for a simple program that computes the gains for a given tracking index as a function of maneuver correlation coefficient. The gain can be calculated from the solution of the constant coefficient quartic equation for given system parameters that is in the same form as that given by Arcasoy. The stability analysis of the optimal tracking filter yields the selection of the quartic equation root.
机译：在频域中分析了目标加速度与时间相关的离散恒定增益α-β-Γ跟踪滤波器。 C.C.给出了相同跟踪滤波器的稳态增益解决方案。 Arcasoy（1996）假设机动相关系数θ为零。假定目标以恒定的加速度运动。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，以及一个简单程序的代码，该程序计算出给定跟踪指标的增益作为机动相关系数的函数。可以从给定系统参数的常数系数二次方程的解中计算出增益，该方程的形式与Arcasoy给出的形式相同。最优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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