AI 中文总结
本文提出基于线性控制系统谱方法的线性滤波器仿真新技术，以二维非平稳传递函数表征滤波器，在多阶贝塞尔、帕普利斯、勒让德滤波器上验证了该技术的有效性。
AI 中文摘要
本文提出一种用于线性滤波器计算机仿真的新技术，该技术可基于线性控制系统分析的谱方法对连续时间线性滤波器进行仿真。应用谱方法意味着输入与输出信号由所选基的有序展开系数集表示，滤波器本身由二维非平稳传递函数指定。该技术在各阶贝塞尔（Bessel）、帕普利斯（Papoulis）及勒让德（Legendre）滤波器上进行了测试，对每种滤波器均得到了对应的二维非平稳传递函数，即关联输入与输出信号展开系数的线性变换矩阵。
英文摘要
This paper proposes a new technique for computer simulation of linear filters. It allows simulating continuous-time linear filters based on the spectral method for analyzing linear control systems. Applying the spectral method implies that the input and output signals are represented by ordered sets of expansion coefficients in a chosen basis, and the filter itself is specified by a two-dimensional nonstationary transfer function. The described technique is tested on Bessel, Papoulis, and Legendre filters of various orders. For each filter, the corresponding two-dimensional nonstationary transfer function, i.e., the matrix of the linear transformation relating expansion coefficients of the input and output signals, is obtained.
