论文标题
使用频域幅度值的非最低相系统的相响应重建
Phase response reconstruction for non-minimum phase systems using frequency-domain magnitude values
论文作者
论文摘要
测量大系统的相位响应通常比大小要复杂。在这种情况下，可以尝试将kramers-kronig（kk）关系用于幅度和相位，这与幅度和相位分析相关。优点是，只有才能测量频率响应的大小。我们表明，当传递函数的零位于复合物S平面的右半，即系统是非最小相位时，幅度和相位的KK关系可能会产生无效的结果。在本文中，我们提出了一种通过使用特定的激发信号并测量系统的时间响应来确定这些零的方法。该方法使用作者之间的盲测验证。当知道复合物S平面的右半部分的零位置是已知的，可以将修改的KK关系成功应用于非最低相系统。我们通过计算电场的相位响应来证明这一点，这是由闭合腔内的点偶极子源激发的，具有完美的电导电（PEC）壁。同样，在此示例中考虑了模拟测量噪声的效果。
It is often more complicated to measure the phase response of a large system than the magnitude. In that case, one can attempt to use the Kramers-Kronig (KK) relations for magnitude and phase, which relates magnitude and phase analytically. The advantage is that then only the magnitude of the frequency response needs to be measured. We show that the KK relations for magnitude and phase may yield invalid results when the transfer function has zeros located in the right half of the complex s-plane, i.e. the system is non-minimum phase. In this paper we propose a method which enables to determine these zeros, by using specific excitation signals and measuring the resulting time responses of the system. The method is verified using blind tests among the authors. When the locations of the zeros in the right half of the complex s-plane are known, modified KK relations can be successfully applied to non-minimum phase systems. We demonstrate this by computing the phase response of the electric field, excited by a point dipole source inside a closed cavity with Perfect Electrically Conducting (PEC) walls. Also, the effects of simulated measurement noise are considered for this example.
