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Characterizing performance of /spl alpha/-/spl beta/-/spl gamma/ filters

机译:/ spl alpha /-/ spl beta /-/ spl gamma /过滤器的性能表征

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摘要

The /spl alpha/-/spl beta/-/spl gamma/ filter, a sampled data target tracker which can asymptotically track a constant acceleration target, is discussed in detail. The /spl alpha/,/spl beta/,/spl gamma/ parameters are studied to characterize the stability of the filter and its performance viz its transient behavior. A closed-form equation for the mean square response of the system to white noise is derived. In addition, performance measures to gauge the transient response and the steady state tracking error are derived. The closed-form equations for the noise ratio and the transient and steady state error are exploited to optimally select the /spl alpha/, /spl beta/, /spl gamma/ parameters. The resulting solutions are shown to reduce to some results presented in the literature for the /spl alpha/-/spl beta/ filter.
机译:详细讨论了/ spl alpha /-/ spl beta /-/ spl gamma /过滤器,它是一种可以渐近跟踪恒定加速度目标的采样数据目标跟踪器。研究了/ spl alpha /,/ spl beta /,/ spl gamma /参数,以表征滤波器的稳定性及其性能以及其瞬态行为。得出了系统对白噪声的均方响应的闭式方程。另外,推导了用于测量瞬态响应和稳态跟踪误差的性能指标。利用噪声比以及瞬态和稳态误差的闭式公式,可以最佳地选择/ spl alpha /,/ spl beta /,/ spl gamma /参数。结果表明,所得解决方案可减少/ spl alpha /-/ spl beta /过滤器在文献中提供的某些结果。

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