关键词: 陷波滤波器, 分子动理论优化算法, 零极点配置

Abstract: The infinite impulse response digital notch filters are applied to eliminate or suppress one or some specific frequency components in digital signal. On the basis of the essential two order notch filter, pole-zero doublets are added to design a new single notch structure. The pole angles of the two poles and the new added zero are both designed to be equal to the pole angle of the original zero, the polar radius of the new added pole is designed to be equal to the pole radius of the original pole. Furtherly, transition-band gain can be increased by adjusting the polar radius of the new added zero, which can narrow the transition zone and improve the performance of notch filter. A novel design approach of digital multiple notch filters is proposed. By cascading improved single notch filter, optimizing the polar radius of the new added zero based on Kinetic-Molecular Theory based Optimization Algorithm（KMTOA）, this method can realize the optimized design of notch filters with stable characteristics and accelerate the calculation speed. The practicability and robustness of the presented approach are validated by a series of simulation experiments.

Key words: notch filter, kinetic-molecular theory optimization algorithm, pole and zero displacement