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Realizing system poles identification on the unit disc based on the Fourier trasform of Laguerre-coefficients

机译:基于Laguerre系数的Fourier变换在单位圆盘上实现系统极点识别

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This paper proposes a new method of identification of the poles in a discrete linear system from frequency domain data. The discrete rational transfer function is represented in a rational Laguerre basis, where the basis elements can be expressed by powers of the Blaschke-function. Laguerre coefficients are considered as a sum of oscillating signals what gives the opportunity to estimate the number and place of poles of the system by the Fourier trasform of the Laguerre-coefficients. The behavior of the method is analyzed in the presence of noise in the measurements and an example is presented as an illustration of the full procedure.
机译:本文提出了一种从频域数据中识别离散线性系统中极点的新方法。离散有理传递函数用有理Laguerre基础表示,其中基础元素可以用Blaschke函数的幂表示。拉盖尔系数被认为是振荡信号的总和,这使人们有机会通过拉盖尔系数的傅立叶变换来估计系统极点的数量和位置。在测量中存在噪声的情况下分析了该方法的行为,并给出了一个示例来说明整个过程。

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