论文标题
线性系统建模的扭曲频率轴的模态估计
Modal Estimation on a Warped Frequency Axis for Linear System Modeling
论文作者
论文摘要
诸如房间声学和字符串振荡之类的线性系统可以建模为模式响应的总和，每个响应的总和都以频率，阻尼和振幅为特征。在这里，我们考虑从脉冲响应测量值中找到模式参数，并将模式频率和衰减速率视为系统响应样品的Hankel矩阵的广义特征值，类似于ESPRIT。为了在低频率下更大的分辨率，例如在房间声学和乐器建模中所需的分辨率，该估计是在扭曲的频率轴上完成的。该方法的好处是选择模式的数量，以实现对测量的脉冲响应的所需忠诚。提出了进一步完善频率和阻尼参数的优化。该方法用于对耦合的钢琴弦和房间冲动响应进行建模，其性能与FZ-ARMA相比。
Linear systems such as room acoustics and string oscillations may be modeled as the sum of mode responses, each characterized by a frequency, damping and amplitude. Here, we consider finding the mode parameters from impulse response measurements, and estimate the mode frequencies and decay rates as the generalized eigenvalues of Hankel matrices of system response samples, similar to ESPRIT. For greater resolution at low frequencies, such as desired in room acoustics and musical instrument modeling, the estimation is done on a warped frequency axis. The approach has the benefit of selecting the number of modes to achieve a desired fidelity to the measured impulse response. An optimization to further refine the frequency and damping parameters is presented. The method is used to model coupled piano strings and room impulse responses, with its performance comparing favorably to FZ-ARMA.
