CN205039261U - Tax shape device of array antenna and array antenna directional diagram - Google Patents

Tax shape device of array antenna and array antenna directional diagram Download PDF

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CN205039261U
CN205039261U CN201520792746.0U CN201520792746U CN205039261U CN 205039261 U CN205039261 U CN 205039261U CN 201520792746 U CN201520792746 U CN 201520792746U CN 205039261 U CN205039261 U CN 205039261U
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array
antenna
array antenna
fitness
strategy
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张金玲
郑占旗
万文刚
甘曦
朱兴宇
曹新宇
温舒桦
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Beijing University of Posts and Telecommunications
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Abstract

本实用新型公开了一种阵列天线及阵列天线方向图的赋形装置,克服现有阵列天线赋形时拟合度低等问题。该装置包括:输入端,获取阵列天线各个阵元在耦合条件下的方向图;种群生成器,根据各个阵元在耦合条件下的方向图随机生成初始种群;选择器,为初始种群中的每个个体计算适应度值,并根据适应度值选择赌轮盘策略或者精英选择策略;再生优化器,根据选择器所选择的赌轮盘策略或者精英选择策略,配合适应度选择再生个体,并对再生个体进行优化生成新的个体;输出端,符合预设结束规则时输出阵列天线的最优方向图。本实用新型的X波段天线阵的波束覆盖范围更宽,实用性更好。

The utility model discloses an array antenna and a shaping device for the pattern of the array antenna, which overcomes the problems of low fitting degree and the like in the shaping of the existing array antenna. The device includes: an input end, which obtains the direction diagram of each array element of the array antenna under the coupling condition; a population generator, which randomly generates an initial population according to the direction diagram of each array element under the coupling condition; Each individual calculates the fitness value, and selects the roulette strategy or the elite selection strategy according to the fitness value; the regeneration optimizer, according to the roulette strategy or the elite selection strategy selected by the selector, selects the regeneration individual with the fitness, and The regenerated individual is optimized to generate a new individual; the output end is to output the optimal pattern of the array antenna when the preset end rule is met. The beam coverage of the X-band antenna array of the utility model is wider, and the practicability is better.

Description

阵列天线及阵列天线方向图的赋形装置Array antenna and shaping device for array antenna pattern

技术领域technical field

本实用新型涉及通讯天线技术领域,尤其涉及一种阵列天线及阵列天线方向图的赋形装置。The utility model relates to the technical field of communication antennas, in particular to an array antenna and a shaping device for the pattern of the array antenna.

背景技术Background technique

随着近代微波通讯,卫星通讯以及航天技术的迅猛发展,当前社会对通讯系统的要求越来越高,尤其是使用者对于天线的方向图的波束宽度以及精确度越来越高。这些要求对于天线设计及研发是一个很大的考验。With the rapid development of modern microwave communication, satellite communication and aerospace technology, the current society has higher and higher requirements for communication systems, especially the beam width and accuracy of the antenna pattern are getting higher and higher. These requirements are a great test for antenna design and development.

天线的方向图可以反映出天线的辐射特性。一般情况下,天线方向图可以表示天线辐射电磁波的功率或场强在空间各个方向的分布图形。在阵列天线方向图合成时,首先给出设计需要的目标方向图,再利用合适的算法计算出每个天线单元赋形目标方向图形的最优解的幅度和相位。最后,依据此组数据作为激励,可将阵列天线方向图赋形成所需的目标形状。The radiation pattern of the antenna can reflect the radiation characteristics of the antenna. In general, the antenna pattern can represent the distribution pattern of the power or field strength of the electromagnetic wave radiated by the antenna in various directions in space. When synthesizing the pattern of the array antenna, the target pattern required by the design is firstly given, and then the amplitude and phase of the optimal solution for each antenna element to shape the target pattern are calculated by using a suitable algorithm. Finally, according to this group of data as excitation, the pattern of the array antenna can be formed into the required target shape.

一个优秀的算法对设计出一款高效、方向图精确度高的阵列天线变得非常重要。经典的遗传算法经常用于天线方向图的合成设计。而遗传算法的适应度反应了合成方向图和目标方向图的拟合程度,适应度越高,算法计算出的幅度和相位值越精确,方向图的拟合度越高。反之,遗传算法的适应度越低,则应用该遗传算法计算得出的幅度和相位值的精确度也越低,表明方向图的拟合度越低。An excellent algorithm becomes very important to design an array antenna with high efficiency and high pattern accuracy. Classical genetic algorithms are often used in the synthetic design of antenna patterns. The fitness of the genetic algorithm reflects the fitting degree of the synthetic pattern and the target pattern. The higher the fitness, the more accurate the amplitude and phase values calculated by the algorithm, and the higher the fitting degree of the pattern. Conversely, the lower the fitness of the genetic algorithm is, the lower the accuracy of the amplitude and phase values calculated by the genetic algorithm is, which indicates that the fitting degree of the pattern is lower.

经典的遗传算法解决阵列天线综合的主要流程是,首先随机地产生初始种群。接着,将以上随机产生的初始种群代入预先设定的表达式,计算出阵列方向函数。将其与相应的目标方向图做差,并且根据不同方向的重要性对所得的差分别加权,取每个个体中不同方向上差的绝对值和,然后取倒数得到每个个体的适应度值。根据单一的选择策略(例如赌轮盘法或者精英选择),配合适应度选择再生个体。对再生个体进行交叉,可以使下一代种群遗传上一代的基因。按照一定的交叉概率和交叉算法,生成新的个体。为了避免近亲繁殖,陷入局部最优,按照一定的变异概率和变异算法,在交叉生成的个体进行变异,再次生成新的个体。最后,判断是否达到停止条件,比如是否达到最大遗传代数或者适应度值是否达到预设要求。若符合停止条件则输出最佳值,否则,返回重新计算个体的适应度值,直到达到停止条件。The main process of the classic genetic algorithm to solve the synthesis of array antennas is to generate the initial population randomly at first. Then, the above randomly generated initial population is substituted into the preset expression to calculate the array direction function. Make the difference with the corresponding target direction map, and weight the difference according to the importance of different directions, take the absolute value sum of the difference in different directions in each individual, and then take the inverse to get the fitness value of each individual . According to a single selection strategy (such as roulette or elite selection), the regenerated individuals are selected according to their fitness. Crossover of regenerated individuals can make the next generation population inherit the genes of the previous generation. According to a certain crossover probability and crossover algorithm, new individuals are generated. In order to avoid inbreeding and fall into local optimum, according to a certain mutation probability and mutation algorithm, the cross-generated individuals are mutated to generate new individuals again. Finally, it is judged whether the stop condition is reached, such as whether the maximum genetic algebra is reached or whether the fitness value meets the preset requirements. If the stop condition is met, the optimal value is output, otherwise, return to recalculate the fitness value of the individual until the stop condition is met.

在经典的遗传算法中,赌轮盘法选择算子作用于群体时,能保护群体基因的多样性,但并不能保证子辈的性能总是好于父辈,群体的进化会出现反复,甚至暂时的倒退现象,延缓算法的收敛速度。精英选择能保证子辈的性能不差于父辈,能加快收敛速度,但可能会出现早熟收敛问题。所以经典的遗传算法在解决阵列天线赋形问题时,一般适应度在0.07以下,目标方向图和合成方向图的拟合程度以及副瓣大小并不能让设计者完全满意。In the classic genetic algorithm, when the roulette selection operator acts on the population, it can protect the diversity of the population genes, but it cannot guarantee that the performance of the offspring is always better than that of the parents, and the evolution of the population will be repeated, or even temporarily The retrogression phenomenon slows down the convergence speed of the algorithm. Elite selection can ensure that the performance of the children is not worse than that of the parents, and can speed up the convergence speed, but premature convergence problems may occur. Therefore, when the classical genetic algorithm solves the problem of array antenna shaping, its fitness is generally below 0.07, and the degree of fitting between the target pattern and the synthetic pattern and the size of the sidelobe cannot fully satisfy the designer.

而且,在当前的天线设计中,普通的余割平方扩展波束的覆盖范围一般在55°以下,波束的覆盖范围较为有限,已经难以满足越来越高的通信需求。Moreover, in the current antenna design, the coverage of the common cosecant square extended beam is generally below 55°, and the coverage of the beam is relatively limited, which has been difficult to meet the increasingly high communication requirements.

实用新型内容Utility model content

本实用新型所要解决的技术问题是为了克服现有技术中阵列天线赋形时拟合度低及天线波束覆盖范围有限的问题。The technical problem to be solved by the utility model is to overcome the problems of low fitting degree and limited antenna beam coverage in the prior art when the array antenna is shaped.

本实用新型首先提供了一种阵列天线方向图的赋形装置,包括:输入端,获取阵列天线各个阵元在耦合条件下的方向图;种群生成器,根据各个阵元在所述耦合条件下的方向图随机生成初始种群;选择器,为所述初始种群中的每个个体计算适应度值,并根据所述适应度值选择赌轮盘策略或者精英选择策略;再生优化器,根据所述选择器所选择的赌轮盘策略或者精英选择策略,配合适应度选择再生个体,并对所述再生个体进行优化,生成新的个体;输出端,符合预设结束规则时输出所述阵列天线的最优方向图。The utility model firstly provides a shaping device for array antenna pattern, including: an input terminal, which obtains the pattern of each array element of the array antenna under the coupling condition; The direction diagram of the random generation initial population; the selector, calculates the fitness value for each individual in the initial population, and selects the roulette wheel strategy or the elite selection strategy according to the fitness value; the regeneration optimizer, according to the The roulette strategy or the elite selection strategy selected by the selector selects the regenerated individual according to the fitness, and optimizes the regenerated individual to generate a new individual; the output terminal outputs the value of the array antenna when the preset end rule is met. Optimal Orientation Map.

其中,该装置还包括:反馈控制器,在所述新的个体不符合所述预设结束规则时,向所述选择器反馈重新计算指示;所述选择器根据所述重新计算指示重新计算所述适应度值。Wherein, the device further includes: a feedback controller, which feeds back a recalculation instruction to the selector when the new individual does not meet the preset end rule; the selector recalculates the selected The fitness value mentioned above.

其中,所述选择器包括:计算单元,计算所述适应度值;选择单元,在所述适应度值小于或等于适应度阈值时,选择赌轮盘策略,否则选择精英选择策略。Wherein, the selector includes: a calculation unit, which calculates the fitness value; a selection unit, when the fitness value is less than or equal to a fitness threshold, selects a roulette strategy, otherwise selects an elite selection strategy.

本实用新型还提供了一种阵列天线,包括:彼此间隔距离为半波长的多个阵元天线,所述每一阵元天线包括矩形单元天线及相连的馈线,所述馈线通过馈点与矩形单元天线的窄边相连接。The utility model also provides an array antenna, comprising: a plurality of array element antennas with a distance of half a wavelength from each other, each array element antenna includes a rectangular unit antenna and a connected feeder line, and the feeder line passes through the feed point and the rectangular unit The narrow sides of the antenna are connected.

其中,所述阵元天线的数量为10个、14个、16个或者20个。Wherein, the number of the array element antennas is 10, 14, 16 or 20.

其中,所述馈线为具有两组平行边的八边形。Wherein, the feeder is an octagon with two sets of parallel sides.

其中,所述阵列天线的每个阵元天线都选定余割平方扩展波束为目标方向图。Wherein, each element antenna of the array antenna selects a cosecant square spread beam as the target pattern.

与现有技术相比,本实用新型得益于改进型自适应遗传算法的精确赋形,天线方向图波束覆盖宽度能达到65°。本实用新型的X波段天线阵的波束覆盖范围更宽,实用性更好,在飞机导航雷达探测方面具有非常优越的应用前景。Compared with the prior art, the utility model benefits from the precise shaping of the improved self-adaptive genetic algorithm, and the beam coverage width of the antenna pattern can reach 65°. The beam coverage of the X-band antenna array of the utility model is wider, the practicability is better, and it has a very superior application prospect in the aspect of aircraft navigation radar detection.

本实用新型的其它特征和优点将在随后的说明书中阐述,并且,部分地从说明书中变得显而易见,或者通过实施本实用新型的技术方案而了解。本实用新型的目的和其他优点可通过在说明书、权利要求书以及附图中所特别指出的结构和/或流程来实现和获得。Other features and advantages of the utility model will be set forth in the following description, and partly become obvious from the description, or can be understood by implementing the technical solution of the utility model. The objectives and other advantages of the present utility model can be realized and obtained through the structures and/or processes particularly pointed out in the specification, claims and drawings.

附图说明Description of drawings

附图用来提供对本实用新型的技术方案或现有技术的进一步理解,并且构成说明书的一部分。其中,表达本实用新型实施例的附图与本实用新型的实施例一起用于解释本实用新型的技术方案,但并不构成对本实用新型技术方案的限制。The accompanying drawings are used to provide a further understanding of the technical solutions of the utility model or the prior art, and constitute a part of the specification. Wherein, the drawings expressing the embodiments of the utility model are used together with the embodiments of the utility model to explain the technical solution of the utility model, but do not constitute a limitation to the technical solution of the utility model.

图1为本实用新型实施例的阵列天线方向图的赋形方法的流程示意图。FIG. 1 is a schematic flowchart of a method for shaping an array antenna pattern according to an embodiment of the present invention.

图2为本实用新型实施例的阵列天线示意图。FIG. 2 is a schematic diagram of an array antenna according to an embodiment of the present invention.

图3为本实用新型实施例的阵列天线中阵元天线的结构示意图。FIG. 3 is a schematic structural diagram of an array element antenna in an array antenna according to an embodiment of the present invention.

图4为本实用新型实施例的阵列天线中阵元天线的频带图。FIG. 4 is a frequency band diagram of an array element antenna in an array antenna according to an embodiment of the present invention.

图5为本实用新型实施例中的阵元在耦合条件下的方向图。Fig. 5 is a directional diagram of the array element under the coupling condition in the embodiment of the present invention.

图6为本实用新型实施例的阵列天线赋形装置的结构示意图。Fig. 6 is a schematic structural diagram of an array antenna shaping device according to an embodiment of the present invention.

图7为本实用新型实施例的阵列天线赋形装置在高适应度阈值时采用改进型自适应遗传算法时的适应度值图。Fig. 7 is a graph of the fitness value of the array antenna shaping device according to the embodiment of the present invention when the improved adaptive genetic algorithm is used when the fitness threshold is high.

图8为本实用新型实施例的阵列天线赋形装置在低适应度阈值时采用改进型自适应遗传算法时的适应度值图。Fig. 8 is a graph of the fitness value of the array antenna shaping device according to the embodiment of the present invention when the improved adaptive genetic algorithm is used when the fitness threshold is low.

图9为本实用新型实施例的阵列天线赋形装置未采用精英选择策略时应用改进型自适应遗传算法时的适应度值图。FIG. 9 is a graph of fitness values when the improved adaptive genetic algorithm is applied when the array antenna shaping device according to the embodiment of the present invention does not adopt the elite selection strategy.

图10为采用经典遗传算法时的适应度值图。Figure 10 is a graph of fitness values when classical genetic algorithm is used.

具体实施方式detailed description

以下将结合附图及实施例来详细说明本实用新型的实施方式,借此对本实用新型如何应用技术手段来解决技术问题,并达成相应技术效果的实现过程能充分理解并据以实施。本实用新型实施例以及实施例中的各个特征,在不相冲突前提下可以相互结合,所形成的技术方案均在本实用新型的保护范围之内。The implementation of the utility model will be described in detail below in conjunction with the accompanying drawings and examples, so as to fully understand and implement the implementation process of how to apply technical means to solve technical problems and achieve corresponding technical effects in the utility model. The embodiments of the utility model and the various features in the embodiments can be combined with each other under the premise of not conflicting, and the formed technical solutions are all within the protection scope of the utility model.

另外,附图所示出的本实用新型实施例的方法所包含的步骤,可以在诸如一组计算机可执行指令的计算机系统中执行。并且,虽然本实用新型实施例的方法在所示的流程图中体现出了本实用新型的技术方案在执行时的一定的逻辑顺序,但通常而言,该逻辑顺序仅限于通过该流程图所示出的实施例。在本实用新型的另一些实施例中,本实用新型的技术方案的逻辑顺序也可以以不同于附图所示的方式来实现。In addition, the steps included in the methods of the embodiments of the present invention shown in the drawings can be executed in a computer system such as a set of computer-executable instructions. Moreover, although the method of the embodiment of the utility model reflects a certain logical order of the technical solution of the utility model during execution in the flow chart shown, generally speaking, the logical sequence is limited to the steps shown in the flow chart. Example shown. In other embodiments of the present utility model, the logic sequence of the technical solution of the present utility model may also be realized in a manner different from that shown in the accompanying drawings.

如图1所示,本实用新型的阵列天线方向图的赋形方法,主要包括如下步骤。As shown in FIG. 1 , the method for shaping the array antenna pattern of the present invention mainly includes the following steps.

步骤S110,确定由N个阵元组成的线性阵列天线,获取阵列天线各个阵元在耦合条件下的方向图。Step S110, determining a linear array antenna composed of N array elements, and acquiring the pattern of each array element of the array antenna under the coupling condition.

步骤S120,根据各个阵元在耦合条件下的方向图,随机地产生初始种群。其中,初始种群采用二进制进行表示。In step S120, an initial population is randomly generated according to the pattern of each array element under the coupling condition. Among them, the initial population is represented by binary.

步骤S130,为初始种群中的每个个体计算适应度值,并根据适应度值选择赌轮盘策略或者精英选择策略。Step S130, calculating the fitness value for each individual in the initial population, and selecting a roulette strategy or an elite selection strategy according to the fitness value.

具体地,是将随机产生的初始种群代入表达式计算阵列方向函数,并将相应方向图与目标方向图求差,根据不同方向的重要性对差分别加权,取每个个体中不同方向上差的绝对值并求和,然后取倒数得到适应度值。Specifically, the randomly generated initial population is substituted into the expression to calculate the array direction function, and the difference between the corresponding direction diagram and the target direction diagram is calculated, and the differences are weighted according to the importance of different directions, and the difference in different directions in each individual is taken as The absolute values of and summed, and then take the inverse to get the fitness value.

适应度fit的计算表达式如下:The calculation expression of fitness fit is as follows:

ff ii tt == 11 ww ee ii gg hh tt (( θθ ii )) ×× dd ii ff ff (( θθ ii )) ,, -- 180180 ≤≤ θθ ii ≤≤ 180180

其中,weight为每个点所对应的权重,diff为合成图中每个点与目标方向图的绝对误差。Among them, weight is the weight corresponding to each point, and diff is the absolute error between each point in the composite image and the target orientation map.

ww ee ii gg hh tt (( θθ ii )) == aa 11 ,, 11 ≤≤ ii ≤≤ 114114 aa 22 ,, 115115 ≤≤ ii ≤≤ 168168 aa 33 ,, 169169 ≤≤ ii ≤≤ 179179 aa 44 ,, 180180 ≤≤ ii ≤≤ 240240 aa 55 ,, 241241 ≤≤ ii ≤≤ 360360

其中,θ为天线方向图中的角度值,范围在0°-360°,这里i有5种取值,即将360°分为了5段,分别加上五段对应的权值a,加权值的目的是为了更加精准地赋形。Among them, θ is the angle value in the antenna pattern, the range is 0°-360°, here there are 5 values for i, that is, 360° is divided into 5 segments, and the weight a corresponding to the five segments is added, and the weighted value The purpose is to shape more precisely.

步骤S140,根据所选择的赌轮盘策略或者精英选择策略,配合适应度选择再生个体,并对所述再生个体进行优化,生成新的个体。Step S140, according to the selected roulette strategy or elite selection strategy, select regenerated individuals according to fitness, and optimize the regenerated individuals to generate new individuals.

以赌轮盘选择和精英选择相结合的选择策略判断适应度值,在最大适应度值小于或等于适应度阈值时,采用赌轮盘法选择出再生个体,不引入精英策略,保护了种群基因的多样性。而当最大适应度值高于适应度阈值时,引入精英策略来加快收敛速度,选择出再生个体。对再生个体进行优化时,先按照预设的交叉概率和交叉算法进行交叉处理,然后再按照预设的变异概率和变异算法,对交叉所获得的个体进行变异处理,生成新的个体。这样可使下一代种群能够良好地遗传上一代的良好基因。The fitness value is judged by the selection strategy combining roulette selection and elite selection. When the maximum fitness value is less than or equal to the fitness threshold, the regenerated individuals are selected by the roulette method, and the elite strategy is not introduced, which protects the population gene. diversity. And when the maximum fitness value is higher than the fitness threshold, the elite strategy is introduced to speed up the convergence speed and select regenerated individuals. When optimizing the regenerated individuals, first perform crossover processing according to the preset crossover probability and crossover algorithm, and then perform mutation processing on the individuals obtained by crossover according to the preset mutation probability and mutation algorithm to generate new individuals. This enables the next generation of population to inherit the good genes of the previous generation well.

在赌轮盘选择过程中,在进化中前期和进化后期,分别选择不同的交叉概率和变异概率,这样有助于加快收敛的同时,尽量避免陷入局部最优。In the roulette selection process, different crossover probabilities and mutation probabilities are selected in the early and late stages of evolution, which helps to speed up convergence and avoid falling into local optimum as much as possible.

具体地,在赌轮盘选择过程中,进一步判断适应度值与预设的进化中前期阈值进行比较。该进化时期阈值可以用来区分当前处于进化的早期还是中后期。如果适应度值小于预设的进化时期阈值,则认为当前进化还处于早期;如果适应度值大于预设的进化时期阈值,则认为当前进化还处于中后期。Specifically, in the roulette wheel selection process, it is further judged that the fitness value is compared with the preset threshold in the early stage of evolution. The threshold of evolutionary period can be used to distinguish whether it is currently in the early stage of evolution or in the middle and late stage. If the fitness value is less than the preset evolutionary period threshold, the current evolution is considered to be in the early stage; if the fitness value is greater than the preset evolutionary period threshold, the current evolution is considered to be in the middle and late stages.

对于进化早期,分别采用如下表达式进行交叉和变异:For the early stage of evolution, the following expressions are used for crossover and mutation respectively:

pc1=pc1+(pc0-0.5)/NGpc1=pc1+(pc0-0.5)/NG

pm1=pm1-(0.4-pm0)/NGpm1=pm1-(0.4-pm0)/NG

其中,pc0为初始交叉概率,pm0为初始变异概率,NG为最大遗传代数,pc1为线性变化的交叉概率,pm1为线性变化的变异概率。Among them, pc0 is the initial crossover probability, pm0 is the initial mutation probability, NG is the maximum genetic algebra, pc1 is the linearly changing crossover probability, and pm1 is the linearly changing mutation probability.

在进化中前期,pc1大于pm1有助于加快收敛。In the early stage of evolution, pc1 is greater than pm1 to help speed up the convergence.

对于进化中期,分别采用如下表达式进行交叉和变异:For the middle stage of evolution, the following expressions are used for crossover and mutation respectively:

pc2=1/(1+exp(-10/fiy))-0.1pc2=1/(1+exp(-10/fiy))-0.1

pm2=0.2/(5*(1+exp(1/fiy)))pm2=0.2/(5*(1+exp(1/fiy)))

其中,pc2与为自适应变化的交叉概率,pm2为自适应变化的变异概率。Among them, pc2 is the crossover probability of adaptive change, and pm2 is the mutation probability of adaptive change.

在进化中期,pc2小于pm2有助于避免陷入局部最优。In the middle stage of evolution, pc2 is smaller than pm2 to help avoid falling into local optimum.

步骤S150,在符合预设结束规则时,输出阵列天线的最优方向图。在新的个体不符合预设结束规则时,重新计算适应度值,返回步骤S130继续进行。Step S150, outputting the optimal pattern of the array antenna when the preset end rule is met. When the new individual does not meet the preset end rule, recalculate the fitness value, and return to step S130 to continue.

如图2所示,给出了本实用新型实施例中的由16个阵元天线组成的阵列天线示意图,每个阵元天线彼此之间的间隔d为9GHz半波长的长度,例如半波长为16.667mm。进一步地,如图3所示,每个阵元天线又包括矩形单元天线及相连的馈线,所述馈线通过馈点与矩形单元天线的窄边相连接,所述馈线部分为具有两组平行边的八边形。介质板采用具有一定厚度的罗杰斯5880材料。阵列赋形天线赋形时,如果阵列数越多赋形的能力就越强,可选的,所述阵列天线还可以采用其它数目的阵元天线个数,例如10个,或14个,或20个。As shown in Figure 2, a schematic diagram of an array antenna composed of 16 array element antennas in the embodiment of the present invention is provided, and the interval d between each array element antenna is the length of 9GHz half-wavelength, for example, the half-wavelength is 16.667mm. Further, as shown in Figure 3, each element antenna includes a rectangular element antenna and a connected feeder, the feeder is connected to the narrow side of the rectangular element antenna through a feed point, and the feeder part has two sets of parallel sides octagon. The dielectric plate is made of Rogers 5880 material with a certain thickness. When the array shaped antenna is shaped, if the number of arrays is larger, the shaping ability will be stronger. Optionally, the array antenna can also use other numbers of array element antennas, such as 10, or 14, or 20.

对于由16个阵元天线组成的阵列天线,分别优化好各个阵元天线的S11参数,取得良好的频带宽度,频带范围为8.5GHz~9.8GHz,中心频率为9.05GHz,如图4所示给出了阵元天线的频带图。进一步地,确定所述16个阵元天线在耦合条件下各自的方向图,如图5所示给出了一个示例阵元在耦合条件下的方向图。其中,S11为输入反射系数,也就是输入回波损耗。由于天线已经涉及到高频的频段,高频频段会涉及到匹配的问题,匹配不好的话就会产生输入能量的反射,从而影响整个设备的输入功率不足等问题,输入反射系数S11反应的就是此类问题。For an array antenna composed of 16 element antennas, the S11 parameters of each element antenna are optimized separately to obtain a good frequency bandwidth, the frequency band ranges from 8.5GHz to 9.8GHz, and the center frequency is 9.05GHz, as shown in Figure 4 The frequency band diagram of the array element antenna is given. Further, the respective directional patterns of the 16 array element antennas under the coupling condition are determined, and FIG. 5 shows an example directional pattern of the array element under the coupling condition. Among them, S 11 is the input reflection coefficient, that is, the input return loss. Since the antenna has been involved in the high-frequency frequency band, the high-frequency frequency band will involve matching problems. If the matching is not good, the input energy will be reflected, which will affect the input power of the entire device and other problems. The input reflection coefficient S 11 reflects the That's the kind of problem.

如图6所示,给出了一种阵列天线方向图的赋形装置,包括输入端610、种群生成器620、选择器630、再生优化器640以及输出端650。As shown in FIG. 6 , a device for shaping an array antenna pattern is given, including an input terminal 610 , a population generator 620 , a selector 630 , a regeneration optimizer 640 and an output terminal 650 .

输入端610,获取阵列天线各个阵元的耦合条件下的方向图。The input end 610 is used to obtain the pattern of each element of the array antenna under the coupling condition.

种群生成器620,与输入端610相连,根据各个阵元在该耦合条件下的方向图,随机地生成初始种群。其中,所述初始种群可采用二进制进行表示。The population generator 620 is connected to the input terminal 610, and randomly generates an initial population according to the direction diagram of each array element under the coupling condition. Wherein, the initial population may be expressed in binary.

选择器630,与种群生成器620相连,为初始种群中的每个个体计算适应度值,并根据适应度值与适应度预置的比较结果,选择赌轮盘策略或者精英选择策略。The selector 630, connected to the population generator 620, calculates the fitness value for each individual in the initial population, and selects the roulette strategy or the elite selection strategy according to the comparison result between the fitness value and the fitness preset.

再生优化器640,与选择器630相连,根据选择器630所选择的赌轮盘策略或者精英选择策略,配合适应度选择再生个体,并对再生个体进行交叉和变异优化,生成新的个体。The regeneration optimizer 640 is connected to the selector 630, selects the regeneration individual according to the roulette strategy or the elite selection strategy selected by the selector 630, and cooperates with the fitness, and performs crossover and mutation optimization on the regeneration individual to generate a new individual.

以赌轮盘选择和精英选择相结合的选择策略判断适应度值,在最大适应度值小于或等于适应度阈值时,采用赌轮盘法选择出再生个体,不引入精英策略,保护了种群基因的多样性。而当最大适应度值高于适应度阈值时,引入精英策略来加快收敛速度,选择出再生个体。对再生个体进行优化时,先按照预设的交叉概率和交叉算法进行交叉处理,然后再按照预设的变异概率和变异算法,对交叉所获得的个体进行变异处理,生成新的个体。这样可使下一代种群能够良好地遗传上一代的良好基因。The fitness value is judged by the selection strategy combining roulette selection and elite selection. When the maximum fitness value is less than or equal to the fitness threshold, the regenerated individuals are selected by the roulette method, and the elite strategy is not introduced, which protects the population gene. diversity. And when the maximum fitness value is higher than the fitness threshold, the elite strategy is introduced to speed up the convergence speed and select the regenerated individuals. When optimizing the regenerated individuals, first perform crossover processing according to the preset crossover probability and crossover algorithm, and then perform mutation processing on the individuals obtained by crossover according to the preset mutation probability and mutation algorithm to generate new individuals. This enables the next generation of population to inherit the good genes of the previous generation well.

在赌轮盘选择过程中,在进化中前期和进化后期,分别选择不同的交叉概率和变异概率,这样有助于加快收敛的同时,尽量避免陷入局部最优。In the roulette selection process, different crossover probabilities and mutation probabilities are selected in the early and late stages of evolution, which helps to speed up convergence and avoid falling into local optimum as much as possible.

具体地,在赌轮盘选择过程中,进一步判断适应度值与预设的进化中前期阈值进行比较。该进化时期阈值可以用来区分当前处于进化的早期还是中后期。如果适应度值小于预设的进化时期阈值,则认为当前进化还处于早期;如果适应度值大于预设的进化中前期阈值,则认为当前进化还处于中后期。Specifically, in the roulette wheel selection process, it is further judged that the fitness value is compared with the preset threshold in the early stage of evolution. The threshold of evolutionary period can be used to distinguish whether it is currently in the early stage of evolution or in the middle and late stage. If the fitness value is less than the preset evolutionary period threshold, the current evolution is considered to be in the early stage; if the fitness value is greater than the preset evolutionary period threshold, the current evolution is considered to be in the middle and late stages.

对于进化早期,分别采用如下表达式进行交叉和变异:For the early stage of evolution, the following expressions are used for crossover and mutation respectively:

pc1=pc1+(pc0-0.5)/NGpc1=pc1+(pc0-0.5)/NG

pm1=pm1-(0.4-pm0)/NGpm1=pm1-(0.4-pm0)/NG

其中,pc1为线性变化的交叉概率,pm1为线性变化的变异概率。Among them, pc1 is the crossover probability of linear change, and pm1 is the mutation probability of linear change.

在进化中前期,pc1大于pm1有助于加快收敛。In the early stage of evolution, pc1 is greater than pm1 to help speed up the convergence.

对于进化中期,分别采用如下表达式进行交叉和变异:For the middle stage of evolution, the following expressions are used for crossover and mutation respectively:

pc2=1/(1+exp(-10/fiy))-0.1pc2=1/(1+exp(-10/fiy))-0.1

pm2=0.2/(5*(1+exp(1/fiy)))pm2=0.2/(5*(1+exp(1/fiy)))

ff ii ythe y == EE. (( ff ii tt nno ee sthe s sthe s )) ++ 11 DD. (( ff ii tt nno ee sthe s sthe s ))

其中,pc2与为自适应变化的交叉概率,pm2为自适应变化的变异概率。E(fitness)为适应度均值,D(fitness)为适应度方差。在进化中期,pc2小于pm2有助于避免陷入局部最优。Among them, pc2 is the crossover probability of adaptive change, and pm2 is the mutation probability of adaptive change. E(fitness) is the mean value of fitness, and D(fitness) is the variance of fitness. In the middle stage of evolution, pc2 is smaller than pm2 to help avoid falling into local optimum.

输出端650,与再生优化器640相连,符合预设结束规则时输出所述阵列天线的最优方向图。其中,该预设结束规则比如是交叉变异的遗传代数是否达到最大遗传代数或者适应度值达到要求。The output terminal 650 is connected to the regeneration optimizer 640, and outputs the optimal pattern of the array antenna when the preset end rule is met. Wherein, the preset end rule is, for example, whether the genetic algebra of crossover mutation reaches the maximum genetic algebra or whether the fitness value meets the requirement.

本实用新型实施例的赋形装置,还包括反馈控制器。控制器在新的个体不符合所述预设结束规则时,向选择器630反馈重新计算指示。选择器630根据重新计算指示,重新计算适应度值,然后再根据重新计算的适应度值进行策略选择。The shaping device of the embodiment of the utility model further includes a feedback controller. The controller feeds back a recalculation instruction to the selector 630 when the new individual does not meet the preset end rule. The selector 630 recalculates the fitness value according to the recalculation instruction, and then performs strategy selection according to the recalculated fitness value.

选择器630包括计算单元和选择单元。计算单元计算适应度值。具体地,是将所述种群生成器620随机产生的初始种群代入表达式计算阵列方向函数,与目标方向图做差,并且根据不同方向的重要性对差分别加权,取每个个体中不同方向差的绝对值和,然后取倒数得到适应度值。选择单元对适应度计算单元计算得到的适应度值与适应度阈值进行比较,若所得适应度值小于或等于适应度阈值则选择采用赌轮盘策略,若所得适应度值大于适应度阈值则选择精英选择策略。The selector 630 includes a calculation unit and a selection unit. The calculation unit calculates the fitness value. Specifically, the initial population randomly generated by the population generator 620 is substituted into the expression to calculate the array direction function, and the difference is made with the target direction map, and the difference is weighted according to the importance of different directions, and different directions in each individual are taken The sum of the absolute values of the difference, and then take the reciprocal to get the fitness value. The selection unit compares the fitness value calculated by the fitness calculation unit with the fitness threshold. If the obtained fitness value is less than or equal to the fitness threshold, it chooses to adopt the roulette strategy. If the obtained fitness value is greater than the fitness threshold, it chooses Elite selection strategy.

再生优化器640包括再生单元、交叉单元和变异单元。再生单元根据赌轮盘策略或者精英选择策略配合适应度选择再生个体。交叉单元与再生单元相连,对再生个体进行交叉处理,按照一定的交叉概率和交叉算法,生成新的个体;这样可使下一代种群遗传上一代的基因。变异单元与交叉单元相连,对交叉后的个体按照一定的变异概率和变异算法进行变异处理,生成新的个体,以便避免近亲繁殖,陷入局部最优。The regeneration optimizer 640 includes a regeneration unit, a crossover unit and a mutation unit. The regeneration unit selects regeneration individuals according to the roulette wheel strategy or the elite selection strategy with fitness. The crossover unit is connected with the regeneration unit, and the regenerated individuals are crossed, and new individuals are generated according to a certain crossover probability and crossover algorithm; in this way, the next generation population can inherit the genes of the previous generation. The mutation unit is connected with the crossover unit, and the crossover individuals are mutated according to a certain mutation probability and mutation algorithm to generate new individuals, so as to avoid inbreeding and fall into local optimum.

应用实例:Applications:

首先,选定余割平方扩展波束为目标方向图,目标方向图的具体指标为:-3dB宽度范围为0°-12°,-10dB波束宽度为65°,波束覆盖为65°,频带范围为8.5GHz~9.8GHz,中心频率为9.05GHz。First of all, the cosecant square expansion beam is selected as the target pattern. The specific indicators of the target pattern are: -3dB width range is 0°-12°, -10dB beam width is 65°, beam coverage is 65°, and the frequency band range is 8.5GHz~9.8GHz, the center frequency is 9.05GHz.

如图2所示,给出了包括16阵元天线的阵列天线,每个阵元天线的间隔d为9.05GHz的半波长16.667mm,在阵列天线中的阵元天线包括矩形单元天线及相连的馈线,如图3所示,微带的矩形单元天线的长度L=12.6mm,宽度W=9.45mm,以及能确定馈点位置的宽度w1=7.2975mm。进一步地,馈线为具有两组平行边的八边形,所示尺寸分别为总长度L1=15.96mm,总宽度w3=6.93mm,与矩形单元相接的馈点宽度w2=0.42mm,远离矩形单元的平行相对端宽度w4=1.302mm,宽度为w3=6.93mm部分的长度L2=11.34mm,所述w3和w4形成的梯形的高度L3=2.31mm。介质板采用罗杰斯5880,厚度为1.575mm。As shown in Figure 2, an array antenna including 16 element antennas is provided, and the interval d of each element antenna is 16.667mm at a half wavelength of 9.05 GHz. The element antennas in the array antenna include rectangular element antennas and connected As for the feeder line, as shown in Fig. 3, the length L of the rectangular element antenna of the microstrip is 12.6 mm, the width W is 9.45 mm, and the width w 1 = 7.2975 mm for determining the position of the feed point. Furthermore, the feeder is an octagon with two sets of parallel sides, the dimensions shown are total length L 1 =15.96 mm, total width w 3 =6.93 mm, and width w 2 of the feed point connected to the rectangular unit =0.42 mm The width w 4 =1.302mm of the parallel opposite ends far away from the rectangular unit, the length L 2 of the part with the width w 3 =6.93mm =11.34mm, and the height L 3 of the trapezoid formed by w 3 and w 4 =2.31mm. The dielectric board is Rogers 5880 with a thickness of 1.575mm.

优化好各个阵元天线的S11参数,取得良好的频带宽度,频带范围为8.5GHz~9.8GHz,中心频率为9.05GHz,如图4所示,给出了阵列天线中16个阵元天线在耦合条件下各自的方向图的一个示例。将上述得到的各个阵元天线的方向图代入应用了改进型自适应遗传算法的图6所示的赋形装置和图1所示的赋形方法进行处理,计算每个个体适应度值,适应度fit的计算表达式如下:Optimize the S11 parameters of each element antenna to obtain a good frequency bandwidth. The frequency band range is 8.5GHz to 9.8GHz, and the center frequency is 9.05GHz. As shown in Figure 4, the 16 element antennas in the array antenna are given An example of the respective orientation maps for the coupled condition. Substituting the pattern of each element antenna obtained above into the shape-forming device shown in Figure 6 and the shape-forming method shown in Figure 1 that applied the improved adaptive genetic algorithm for processing, the fitness value of each individual is calculated, and the adaptation The calculation expression of degree fit is as follows:

ff ii tt == 11 ww ee ii gg hh tt (( θθ ii )) ×× dd ii ff ff (( θθ ii )) ,, -- 180180 ≤≤ θθ ii ≤≤ 180180

其中,weight为每个点所对应的权重,diff为合成图每个点与要求方向图的绝对误差。Among them, weight is the weight corresponding to each point, and diff is the absolute error between each point in the synthetic map and the required pattern.

ww ee ii gg hh tt (( θθ ii )) == aa 11 ,, 11 ≤≤ ii ≤≤ 114114 aa 22 ,, 115115 ≤≤ ii ≤≤ 168168 aa 33 ,, 169169 ≤≤ ii ≤≤ 179179 aa 44 ,, 180180 ≤≤ ii ≤≤ 240240 aa 55 ,, 241241 ≤≤ ii ≤≤ 360360

其中,θ为天线方向图中的角度值,范围在0°-360°,这里i有5种取值,即将360°分为了5段,分别加上五段对应的权值a,加权值的目的是为了更加精准的赋形。Among them, θ is the angle value in the antenna pattern, the range is 0°-360°, here there are 5 values for i, that is, 360° is divided into 5 segments, and the weight a corresponding to the five segments is added, and the weighted value The purpose is for more precise shaping.

采用图1所示的流程对9.05GHz中心频点的方向图进行赋形,可以计算出将阵列天线赋形成目标方向图所需最优解的幅度和相位。Using the process shown in Figure 1 to form the pattern of the 9.05GHz center frequency point, the amplitude and phase of the optimal solution required to form the array antenna into the target pattern can be calculated.

在应用了改进型自适应遗传算法的赋形方法流程中,种群规模设为300,幅度编码位数为7,相位编码位数为9,遗传代数为2000。In the shape-forming method process using the improved adaptive genetic algorithm, the population size is set to 300, the number of amplitude encoding bits is 7, the number of phase encoding bits is 9, and the number of genetic algebra is 2000.

下面通过四组图形结果对比展示应用改进型自适应算法的进行阵列天线赋形的优势。The following shows the advantages of applying the improved adaptive algorithm to shape the array antenna through the comparison of four sets of graphic results.

首先是采用改进型自适应遗传算法设定一个较高阀值(0.065)并且有精英保留策略得到的适应度与合成方向图,如图7所示,结果显示适应度在0.09以上,且合成方向图赋形完美,副瓣抑制的很好,波瓣宽度可以达到65°。然后在同等条件下将高阀值改为低阀值(0.05),观察结果,如图8所示,此时适应度在0.07左右,合成方向图赋形也不够理想。接着,在同等条件下将精英保留策略去掉,观察结果,如图9所示,此时适应度在0.05左右,合成方向图赋形则更加不理想。最后,采用经典遗传算法时得到的适应度值与天线合成方向图,如图10所示,适应度只能达到0.06左右,合成方向图的主瓣抖动明显,副瓣较大。The first is to use the improved adaptive genetic algorithm to set a higher threshold (0.065) and obtain the fitness and synthetic direction graph obtained by the elite retention strategy, as shown in Figure 7, the results show that the fitness is above 0.09, and the synthetic direction The shape of the image is perfect, the side lobe is well suppressed, and the lobe width can reach 65°. Then change the high threshold to a low threshold (0.05) under the same conditions, and observe the results, as shown in Figure 8. At this time, the fitness is around 0.07, and the shape of the synthetic direction map is not ideal. Then, under the same conditions, the elite retention strategy is removed, and the observed results are shown in Figure 9. At this time, the fitness is around 0.05, and the shape of the synthetic direction map is even less ideal. Finally, the fitness value obtained by using the classical genetic algorithm and the synthetic pattern of the antenna, as shown in Figure 10, the fitness can only reach about 0.06, and the main lobe jitter of the synthetic pattern is obvious, and the side lobe is large.

由此可以看出,与经典遗传算法相比,引入改进型自适应遗传算法进行赋形操作,由于加入了阀值设置以及精英保留策略,对于天线的赋形精度有很大的提高,也能得到我们的目标宽波束方向图。It can be seen from this that, compared with the classical genetic algorithm, the introduction of the improved adaptive genetic algorithm for the shaping operation, due to the addition of the threshold setting and the elite retention strategy, has greatly improved the shaping accuracy of the antenna, and can also Get our target wide beam pattern.

本实用新型在赌轮盘法的基础上,提出一种以赌轮盘选择和精英选择相结合的选择策略进行遗传操作。在最大适应度值低于阈值时,用赌轮盘法进行选择,不引入精英策略,保护种群基因多样性。而当最大适应度值高于阈值时,算法中引入精英策略,加快收敛速度。改进型自适应遗传算法在解决阵列天线赋形问题时,可将传统遗传算法计算出的适应度值从0.07以下提升到0.09以上,对方向图的拟合程度具有较大提高。On the basis of the roulette method, the utility model proposes a selection strategy combining roulette selection and elite selection for genetic operation. When the maximum fitness value is lower than the threshold, the roulette method is used for selection, and the elite strategy is not introduced to protect the genetic diversity of the population. And when the maximum fitness value is higher than the threshold, an elite strategy is introduced into the algorithm to speed up the convergence. The improved adaptive genetic algorithm can improve the fitness value calculated by the traditional genetic algorithm from less than 0.07 to more than 0.09 when solving the problem of array antenna shaping, which greatly improves the fitting degree of the pattern.

基于改进型的自适应遗传算法研究设计了余割平方波束,目标方向图的参数为-3dB宽度范围为0°-12°,-10dB波束宽度为65°,波束覆盖为65°,频带范围为8.5GHz~9.8GHz,中心频率为9.05GHz。得益于改进型自适应遗传算法的精确赋形,使得天线方向图波束覆盖宽度能达到65°,本设计的X波段天线阵的波束覆盖范围更宽,实用性更好,在飞机导航雷达探测方面具有非常优越的应用前景。Based on the improved adaptive genetic algorithm, the cosecant square beam is designed. The parameters of the target pattern are -3dB width range of 0°-12°, -10dB beam width of 65°, beam coverage of 65°, and frequency band range of 8.5GHz~9.8GHz, the center frequency is 9.05GHz. Thanks to the precise shaping of the improved adaptive genetic algorithm, the beam coverage width of the antenna pattern can reach 65°. The X-band antenna array designed in this paper has a wider beam coverage and better practicability. It has a very good application prospect.

针对现有技术中阵列天线赋形时拟合度低及天线波束覆盖范围有限等问题,本实用新型以赌轮盘选择和精英选择相结合的选择策略进行遗传操作,在最大适应度值低于或等于适应度阈值时,采用赌轮盘法进行选择而不引入精英策略,保护了种群基因的多样性。在最大适应度值高于阈值时,引入精英策略进行选择,加快了收敛速度。为获得更大的天线方向图波束覆盖宽度,本实用新型设计了矩形贴片阵列天线,能满足余割平方扩展波束的赋形。本实用新型实施例中选定余割平方扩展波束为目标方向图,目标方向图的具体指标为:-3dB宽度范围为0°-12°,-10dB波束宽度为65°,波束覆盖为65°,频带范围为8.5GHz~9.8GHz,中心频率为9.05GHz。Aiming at the problems of low fitting degree and limited antenna beam coverage in the prior art, the utility model uses a selection strategy combining roulette selection and elite selection to carry out genetic operation, and the maximum fitness value is lower than Or equal to the fitness threshold, the roulette method is used for selection without introducing elite strategies, which protects the diversity of population genes. When the maximum fitness value is higher than the threshold, an elite strategy is introduced for selection, which speeds up the convergence speed. In order to obtain a larger beam coverage width of the antenna pattern, the utility model designs a rectangular patch array antenna, which can meet the shape of the cosecant square expanded beam. In the embodiment of the utility model, the cosecant square expansion beam is selected as the target pattern, and the specific indicators of the target pattern are: the -3dB width range is 0°-12°, the -10dB beam width is 65°, and the beam coverage is 65° , the frequency band ranges from 8.5GHz to 9.8GHz, and the center frequency is 9.05GHz.

本领域的技术人员应该明白,上述的本实用新型实施例所提供的装置的各组成部分,以及方法中的各步骤,它们可以集中在单个的计算装置上,或者分布在多个计算装置所组成的网络上。可选地,它们可以用计算装置可执行的程序代码来实现。从而,可以将它们存储在存储装置中由计算装置来执行,或者将它们分别制作成各个集成电路模块,或者将它们中的多个模块或步骤制作成单个集成电路模块来实现。这样,本实用新型不限制于任何特定的硬件和软件结合。Those skilled in the art should understand that each component of the device provided by the above-mentioned embodiment of the present invention, and each step in the method, they can be concentrated on a single computing device, or distributed among multiple computing devices. on the network. Alternatively, they may be implemented in program code executable by a computing device. Therefore, they can be stored in a storage device to be executed by a computing device, or they can be fabricated into individual integrated circuit modules, or multiple modules or steps can be fabricated into a single integrated circuit module for implementation. As such, the invention is not limited to any specific combination of hardware and software.

虽然本实用新型所揭露的实施方式如上,但所述的内容仅为便于理解本实用新型技术方案而采用的实施方式,并非用以限定本实用新型。任何本实用新型所属领域内的技术人员,在不脱离本实用新型所揭露的精神和范围的前提下,可以在实施的形式及细节上进行任何的修改与变化,但本实用新型的专利保护范围,仍须以所附的权利要求书所界定的范围为准。Although the disclosed embodiments of the present utility model are as above, the content described is only an embodiment adopted to facilitate understanding of the technical solutions of the present utility model, and is not intended to limit the present utility model. Anyone skilled in the field of the utility model can make any modifications and changes in the form and details of the implementation without departing from the spirit and scope disclosed by the utility model, but the patent protection scope of the utility model , must still be subject to the scope defined by the appended claims.

Claims (7)

1. a size enlargement apparatus for array aerial direction figure, is characterized in that, comprising:
Input, obtains the directional diagram of each array element of array antenna under coupling condition;
Population maker, according to the directional diagram stochastic generation initial population of each array element under described coupling condition;
Selector, for each individuality in described initial population calculates fitness value, and selects roulette wheel dish strategy or elitist selection strategy according to described fitness value;
Regeneration optimizer, the roulette wheel dish strategy selected by described selector or elitist selection strategy, coordinate fitness to select regeneration individual, and be optimized described regeneration individuality, generate new individuality;
Output, exports the optimal direction figure of described array antenna when meeting default end rules.
2. size enlargement apparatus according to claim 1, is characterized in that, this device also comprises:
Feedback controller, when described individuality does not newly meet described default end rules, recalculates instruction to described selector feedback;
Described selector according to described in recalculate instruction and recalculate described fitness value.
3. size enlargement apparatus according to claim 1, is characterized in that, described selector comprises:
Computing unit, calculates described fitness value;
Selected cell, when described fitness value is less than or equal to fitness threshold value, selects roulette wheel dish strategy, otherwise selects elitist selection strategy.
4. an array antenna, is characterized in that, comprising:
Be spaced the multiple array-element antenna of distance for half-wavelength, each array-element antenna described comprises rectangular element antenna and connected feeder line, and described feeder line is connected with the narrow limit of rectangular element antenna by feedback point.
5. array antenna according to claim 4, is characterized in that, the quantity of described array-element antenna is 10,14,16 or 20.
6. array antenna according to claim 4, is characterized in that, described feeder line is the octagon with two groups of parallel edges.
7. array antenna as claimed in claim 4, is characterized in that, the selected cosecant of an each array-element antenna square expansion wave beam for described array antenna is target direction figure.
CN201520792746.0U 2015-10-12 2015-10-12 Tax shape device of array antenna and array antenna directional diagram Expired - Fee Related CN205039261U (en)

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Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN105226393A (en) * 2015-10-12 2016-01-06 北京邮电大学 The size enlargement apparatus of array antenna, array aerial direction figure and shaping method
CN106888044A (en) * 2017-03-28 2017-06-23 中国电子科技集团公司第三十八研究所 A kind of optimum synthesis method of round symmetrical antenna Oriented Graphics with Assigned Form

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN105226393A (en) * 2015-10-12 2016-01-06 北京邮电大学 The size enlargement apparatus of array antenna, array aerial direction figure and shaping method
CN106888044A (en) * 2017-03-28 2017-06-23 中国电子科技集团公司第三十八研究所 A kind of optimum synthesis method of round symmetrical antenna Oriented Graphics with Assigned Form

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