一种新型线性二阶滤波器的研究与应用

Research and application of a new type of linear second-order filter

针对线性二阶滤波器时间滞后的问题,提出了一种LCR正弦跟踪的变形结构和新型正弦跟踪的新方法.通过对变形结构深入的理论研究和分析后得出,LCR正弦跟踪器特性的不理想,是造成二阶滤波器滞后问题的内在原因.通过正交调幅和正交解调等技术构造出一种新型的正弦跟踪器,采用新型正弦跟踪器构造出的新型二阶滤波器,具有滞后时间较小和抗噪声干扰特性较强等优良的线性滤波特性.文中提出的方法属于一种线性滤波技术,能够应用在控制理论的信号滤波等方面.通过数学分析、仿真实验和实际应用等分析了所提出方法的有效性.

Aiming at the problem of time lag of linear second-order filter,a new method for the deformation structure of LCR and a new type of sinusoidal tracking is proposed.Through in-depth theoretical analysis for deformation structure,it is found that the second-order filter's lag problem is caused by LCR sinusoid tracking filter's characteristics.A novel sinusoidal tracker is constructed by orthogonal amplitude modulation and demodulation technology.By using this tracker,a novel second-order filter is built,which has strong characteristics with anti-noise and excellent linear filtering.The proposed method is one kind of the technology of linear filters.It can be applied in the signal filtering of classic control theory.The validity of the proposed method is analyzed through mathematical analysis,simulation experiment,and practical application.