结合零点配置和分子动优化的陷波器设计

发布时间：2018-09-12 07:27

【摘要】：IIR陷波器由于其能够以较小的硬件占用却能提供很让人满意的陷波带宽而被广泛应用于正弦干扰信号的消除中,是设计数字系统时常选用的模块,它在通信系统、医疗仪器、军事电子对抗等领域获得广泛的应用。对于已有的零极点配置法,虽然其拥有简单的配置方法,但是通过其设计的陷波器具有一些设计缺陷。多频陷波器的设计是拥有多个待确定量的设计问题,采用常规的数学计算方法,难以快速的得到最优结果。本文通过零点配置和结合反馈结构的方法分别改进单频陷波结构的性能,并将分子动理论优化算法应用于陷波器的优化设计中,具体内容如下:1)结合零点配置的单频陷波结构研究。在基本的二阶陷波滤波器的基础上,通过增加零极点对,来改善滤波器的特性,分析了新增加的零点对系统性能的影响,设置两个极点和新增加零点的极角等于原零点的极角,以此来弥补其过渡带,调整新增加零点的极径,增大过渡带增益,使其具有更窄的过渡带,陷波效果更好。2)因多频陷波器和多极点单频陷波器中的待确定量的增多,采用数学的求解方式,会增大计算量和时间消耗,结合分子动理论优化算法的寻优能力,将以上两个问题均转化为一个求最小值的问题;在多频陷波器的设计中,通过级联改进的单频陷波器,用分子动理论优化算法优化新增零点的极径,实现具有稳定特性的陷波系统并且加快计算速度,通过与自由搜索算法和粒子群算法比较,本算法具有一定的优势;在多极点单频陷波器的设计中,通过分子动理论优化算法优化新增零点的极径和极点的极角,得到一种拥有更好陷波效果的陷波结构。3)正反馈能够对陷波器的极点进行配置,再结合全通网络的特点,得到一种通过参数?来调整陷波带宽的系统,再通过增加一个合适的新参数使系统的通带增益保持为1,并且此新参数只与原陷波器中的参数有关。通过讨论正反馈对系统的影响,表明此系统拥有优良的性能。通过结合全通网络的特点,使系统保持稳定。将之应用于二维陷波器的设计中,其能够保持对改善陷波带宽的优点的同时,对通带也有一定的改善,能使二维陷波器的通带增益保持为1,避免了基于负反馈结构的方法中影响通带增益的问题。本文的研究为陷波器设计,对相关理论研究和实际工程应用,都具有一定的意义。
[Abstract]:IIR notch is widely used in sinusoidal interference signal elimination because it can use less hardware but can provide very satisfying notch bandwidth. It is often used in the design of digital system. It is used in communication system and medical instrument. Military electronic countermeasures and other fields have been widely used. For the existing zero pole collocation method, although it has a simple configuration method, there are some defects in the design of the notch device. The design of multi-frequency notch is a design problem with many determinations. It is difficult to get the optimal result quickly by using the conventional mathematical calculation method. In this paper, the performance of single-frequency notch structure is improved by zero-point configuration and feedback structure, and the molecular dynamic theory optimization algorithm is applied to the optimization design of notch filter. The main contents are as follows: 1) A single frequency notch structure with zero collocation is studied. On the basis of the basic second-order notch filter, the characteristics of the filter are improved by adding zero pole pair, and the effect of the newly added zero point on the system performance is analyzed. The pole angle of two poles and the newly added zero point is equal to the pole angle of the original zero point. In order to make up for the transition zone, adjust the pole diameter of the new zero point, increase the gain of the transition band, and make it have narrower transition zone, the notch effect is better (.2) because of the increase of the quantity to be determined in the multi-frequency notch and multi-pole single-frequency notch, The mathematical solution method will increase the computational cost and time consumption, combining with the optimization ability of the molecular dynamic theory optimization algorithm, the above two problems will be transformed into a minimum problem, and in the design of the multi-frequency notch filter, By cascading an improved single-frequency notch filter, the pole diameter of the new zero point is optimized by using the molecular kinetic theory optimization algorithm, and the notch system with stable characteristics is realized and the calculation speed is accelerated. Compared with the free search algorithm and the particle swarm optimization algorithm, the new algorithm is compared with the free search algorithm and the particle swarm optimization algorithm. In the design of multi-pole single-frequency notch, the molecular motion optimization algorithm is used to optimize the pole diameter and pole angle of the new zero. A notch structure with better notch effect is obtained. 3) the positive feedback can configure the poles of the notch, and then combine the characteristics of the all-pass network to obtain a pass parameter. By adding an appropriate new parameter, the passband gain of the system is kept at 1, and this new parameter is only related to the parameters in the original notch. By discussing the influence of positive feedback on the system, it is shown that the system has excellent performance. By combining the characteristics of all-pass network, the system is kept stable. When it is applied to the design of two-dimensional notch filter, it can not only keep the advantage of improving notch bandwidth, but also improve the passband. The passband gain of the 2-D notch filter can be kept at 1, which avoids the problem of influencing the passband gain in the method based on negative feedback structure. The research in this paper is designed for notch wave, which is of great significance to relevant theoretical research and practical engineering application.
【学位授予单位】：湘潭大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TN713

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