能動騒音制御の適応速度とその評価尺度に関する統計力学的解析

抄録

We analyze the adaptation rate of active noise control using a statistical-mechanical method. Three measures are employed to evaluate the adaptation rate. The first measure is the MSE initial decreasing rate. The second measure is an adaptation constant, which is defined as the negative of the maximum eigenvalue of the coefficient matrix of differential equations that describe the dynamical behaviors of the macroscopic variables. The third measure is the integral of the MSE, which is defined as the integral of the difference between the MSE and the steady-state MSE. The first and second measures focus on only the initial and final stages of the MSE, respectively. In contrast, the third measure considers all stages in a well-balanced manner. Therefore, employing the integral of the MSE, we can determine the step size that optimizes the entire learning curve.