結合零點配置和分子動優(yōu)化的陷波器設計
發(fā)布時間：2018-09-12 07:27
【摘要】：IIR陷波器由于其能夠以較小的硬件占用卻能提供很讓人滿意的陷波帶寬而被廣泛應用于正弦干擾信號的消除中,是設計數(shù)字系統(tǒng)時常選用的模塊,它在通信系統(tǒng)、醫(yī)療儀器、軍事電子對抗等領域獲得廣泛的應用。對于已有的零極點配置法,雖然其擁有簡單的配置方法,但是通過其設計的陷波器具有一些設計缺陷。多頻陷波器的設計是擁有多個待確定量的設計問題,采用常規(guī)的數(shù)學計算方法,難以快速的得到最優(yōu)結果。本文通過零點配置和結合反饋結構的方法分別改進單頻陷波結構的性能,并將分子動理論優(yōu)化算法應用于陷波器的優(yōu)化設計中,具體內容如下:1)結合零點配置的單頻陷波結構研究。在基本的二階陷波濾波器的基礎上,通過增加零極點對,來改善濾波器的特性,分析了新增加的零點對系統(tǒng)性能的影響,設置兩個極點和新增加零點的極角等于原零點的極角,以此來彌補其過渡帶,調整新增加零點的極徑,增大過渡帶增益,使其具有更窄的過渡帶,陷波效果更好。2)因多頻陷波器和多極點單頻陷波器中的待確定量的增多,采用數(shù)學的求解方式,會增大計算量和時間消耗,結合分子動理論優(yōu)化算法的尋優(yōu)能力,將以上兩個問題均轉化為一個求最小值的問題;在多頻陷波器的設計中,通過級聯(lián)改進的單頻陷波器,用分子動理論優(yōu)化算法優(yōu)化新增零點的極徑,實現(xiàn)具有穩(wěn)定特性的陷波系統(tǒng)并且加快計算速度,通過與自由搜索算法和粒子群算法比較,本算法具有一定的優(yōu)勢;在多極點單頻陷波器的設計中,通過分子動理論優(yōu)化算法優(yōu)化新增零點的極徑和極點的極角,得到一種擁有更好陷波效果的陷波結構。3)正反饋能夠對陷波器的極點進行配置,再結合全通網絡的特點,得到一種通過參數(shù)?來調整陷波帶寬的系統(tǒng),再通過增加一個合適的新參數(shù)使系統(tǒng)的通帶增益保持為1,并且此新參數(shù)只與原陷波器中的參數(shù)有關。通過討論正反饋對系統(tǒng)的影響,表明此系統(tǒng)擁有優(yōu)良的性能。通過結合全通網絡的特點,使系統(tǒng)保持穩(wěn)定。將之應用于二維陷波器的設計中,其能夠保持對改善陷波帶寬的優(yōu)點的同時,對通帶也有一定的改善,能使二維陷波器的通帶增益保持為1,避免了基于負反饋結構的方法中影響通帶增益的問題。本文的研究為陷波器設計,對相關理論研究和實際工程應用,都具有一定的意義。
[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.
【學位授予單位】：湘潭大學
【學位級別】：碩士
【學位授予年份】：2017
【分類號】：TN713
本文編號：2238321
[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.
【學位授予單位】：湘潭大學
【學位級別】：碩士
【學位授予年份】：2017
【分類號】：TN713
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