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CN103312346A - Null-steering antenna - Google Patents

Null-steering antenna Download PDF

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CN103312346A
CN103312346A CN2013101725884A CN201310172588A CN103312346A CN 103312346 A CN103312346 A CN 103312346A CN 2013101725884 A CN2013101725884 A CN 2013101725884A CN 201310172588 A CN201310172588 A CN 201310172588A CN 103312346 A CN103312346 A CN 103312346A
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microwave
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antenna
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CN103312346B (en
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田步宁
施锦文
张宁
楼大年
孙树风
赵峰
黄齐波
薛兆璇
冯小星
范乃康
刘鹏
王保升
万小平
吴�琳
张卫兵
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China Academy of Space Technology CAST
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Abstract

本发明涉及一种调零天线。利用下变频器将天线辐射单元的输入信号由高频段变换到较低的微波频段;将天线每个通道耦合出一部分能量,通过开关矩阵选择出信号存在的通道,对信号正交化后进行采集,利用多重信号分类法实现对信号的波达方向估计;根据波达方向的测量结果通过保形的调零算法计算权值,在较低的微波频段上利用微波权值网络形成较宽频带的调零波束。在波达方向检测工作模式下,该调零天线可以对来波信号方向主动实施定位;在波束在轨重构工作模式下,该调零天线利用微波权值网络实现波束的实时重构,进一步增强了波束的灵活性和抗干扰能力。

The invention relates to a zeroing antenna. Use the down converter to convert the input signal of the antenna radiation unit from the high frequency band to the lower microwave frequency band; couple a part of the energy from each channel of the antenna, select the channel where the signal exists through the switch matrix, and collect the signal after orthogonalization , using the multiple signal classification method to realize the estimation of the direction of arrival of the signal; according to the measurement results of the direction of arrival, the weight value is calculated by the conformal zeroing algorithm, and the microwave weight network is used to form a wider frequency band in the lower microwave frequency band. Null the beam. In the working mode of direction of arrival detection, the nulling antenna can actively locate the direction of the incoming wave signal; in the working mode of beam on-orbit reconstruction, the nulling antenna uses the microwave weight network to realize the real-time reconstruction of the beam, further The flexibility and anti-interference ability of the beam are enhanced.

Description

一种调零天线A zeroing antenna

技术领域technical field

本发明涉及一种智能天线,特别是一种具有波达方向估计、调零、波束重构、通道幅相误差校正能力的调零天线。The invention relates to an intelligent antenna, in particular to a zero-adjusting antenna capable of estimating the direction of arrival, zeroing, reconfiguring the beam, and correcting channel amplitude and phase errors.

背景技术Background technique

调零天线是智能天线的一种形式。智能天线由很多天线辐射单元组成,每个辐射单元馈以一定幅度和相位(称之为幅度权值和相位权值)的信号以形成特定的波束,实现波束扫描、增强或调零。一般情况下,通过控制连接辐射单元的幅度调节器对辐射单元信号幅度进行调节并形成所需要的波束,通过改变连接单元的相位调节器对单元信号的相位进行控制以实现波束扫描。A nulling antenna is a form of smart antenna. The smart antenna is composed of many antenna radiating units, and each radiating unit is fed with a signal of a certain amplitude and phase (called amplitude weight and phase weight) to form a specific beam to realize beam scanning, enhancement or zeroing. Generally, the signal amplitude of the radiation unit is adjusted by controlling the amplitude regulator connected to the radiation unit to form the required beam, and the phase of the unit signal is controlled by changing the phase regulator connected to the unit to realize beam scanning.

智能天线需要在某个波达方向(Direction of Arrival,DOA)进行波束增强或调零时,根据波达方向自适应的计算每个辐射单元的幅度权值和相位权值,然后通过控制与每个辐射单元相连接的权值网络(幅度调节器和相位调节器)实现需要的幅相权值,在期望的方向得到波束增强或调零方向图。目前的调零天线或者是对来波进行调零,或者是对来波进行增强,不具有既能对来波进行调零,又能对来波进行波束增强或波束重构的能力。另外,当天线的工作频段在Ka以上频段时,高精度的权值网络(幅度调节器和相位调节器)的实现难度增大。When the smart antenna needs to perform beam enhancement or zero adjustment in a certain Direction of Arrival (DOA), the amplitude weight and phase weight of each radiating unit are adaptively calculated according to the direction of arrival, and then through control and each The weight network (amplitude adjuster and phase adjuster) connected to each radiating unit realizes the required amplitude and phase weights, and obtains beam enhancement or zeroing pattern in the desired direction. The current nulling antenna either performs zeroing on the incoming wave or enhances the incoming wave, and does not have the capability of both zeroing the incoming wave and performing beam enhancement or beam reconfiguration on the incoming wave. In addition, when the working frequency band of the antenna is above Ka, it is more difficult to implement a high-precision weight network (amplitude regulator and phase regulator).

智能天线对来波信号的调零有两种方式,一种是闭环方式,另一种是开环方式。闭环方式不需要知道来波的方向,通过反复迭代的方式直接对来波进行调零,直到来波的强度降到系统能够忍受的水平。开环方式先对来波进行波达方向的估计,然后根据估计的方向得到波达方向上的调零权值以实现调零。调零时一般不考虑保形,调零后的方向图起伏大,会导致服务区内的信号强度变化大。There are two ways for the smart antenna to zero the incoming signal, one is a closed loop method, and the other is an open loop method. The closed-loop method does not need to know the direction of the incoming wave, and directly adjusts the incoming wave to zero through repeated iterations until the intensity of the incoming wave drops to a level that the system can tolerate. In the open-loop method, the direction of arrival of the incoming wave is first estimated, and then the zeroing weight in the direction of arrival is obtained according to the estimated direction to realize zeroing. Conformity is generally not considered during zero adjustment, and the pattern after zero adjustment has large fluctuations, which will lead to large changes in signal strength in the service area.

由于实际的调零天线各通道的幅相之间存在误差,会恶化调零天线的性能。因此,需要对调零天线各通道的幅相误差进行校正。误差校正分为内校正和外校正两大类方法。当天线的工作频段达到Ka频段以上时,由于天线辐射单元和通道尺寸的限制,内校正方法很难实现,一般采用外校正方法。为了减小校正方法自身带来的误差,外校正方法一般要求校正天线和辐射单元之间的距离在200个波长以上。当天线安装的空间受限时,这种要求是不能满足的,因此一般的外校正方法不再适用。Due to the error between the amplitude and phase of each channel of the actual zeroing antenna, the performance of the zeroing antenna will be deteriorated. Therefore, it is necessary to correct the amplitude and phase errors of each channel of the nulling antenna. Error correction can be divided into two categories: internal correction and external correction. When the working frequency band of the antenna reaches above the Ka frequency band, due to the limitation of the antenna radiation unit and channel size, the internal correction method is difficult to realize, and the external correction method is generally used. In order to reduce the error caused by the calibration method itself, the external calibration method generally requires that the distance between the calibration antenna and the radiation unit be more than 200 wavelengths. When the space where the antenna is installed is limited, this requirement cannot be met, so the general external correction method is no longer applicable.

发明内容Contents of the invention

本发明的目的在于克服现有技术的上述不足,提供一种新的调零天线,一方面降低高精度权值网络的实现难度,减小调零后服务区内方向图的起伏,使外校正方法不再受空间的限制,另一方面使调零天线同时具有波达方向估计、调零和波束重构能力,进一步增强调零天线的灵活性和抗干扰性能,具有广泛的适用性和推广应用价值。The purpose of the present invention is to overcome the above-mentioned deficiencies of the prior art, and provide a new zero-adjustment antenna. On the one hand, it reduces the difficulty of realizing a high-precision weight network, reduces the fluctuation of the pattern in the service area after zero-adjustment, and makes the external correction The method is no longer limited by space, on the other hand, the nulling antenna has the ability of direction of arrival estimation, zeroing and beam reconstruction at the same time, and further enhances the flexibility and anti-interference performance of the nulling antenna, which has wide applicability and promotion Value.

本发明的上述目的主要是通过如下技术方案予以实现的:一种调零天线,包括N个辐射单元组成的天线阵面、N个下变频器、N个耦合器、(N+1)×M开关矩阵、信号正交化器、A/D采集器、处理器、微波权值网络、波束合成网络、合成信号耦合器、校准信号源、校准天线;处理器控制调零天线的工作模式,包括调零工作模式、波达方向检测工作模式、波束在轨重构工作模式;其中:The above object of the present invention is mainly achieved through the following technical solutions: a zero-adjusting antenna, comprising an antenna array composed of N radiating elements, N down-converters, N couplers, (N+1)×M Switch matrix, signal orthogonalizer, A/D collector, processor, microwave weight network, beamforming network, synthesized signal coupler, calibration signal source, calibration antenna; the processor controls the working mode of the zeroing antenna, including Zeroing working mode, direction of arrival detection working mode, and beam on-orbit reconstruction working mode; among them:

调零工作模式下:N个辐射单元组成的天线阵面接收外来高频段微波信号输送至N个下变频器,N个下变频器分别将接收的高频段微波信号变换为低频段微波信号;N个耦合器分别将下变频后的微波信号分为两部分,一部分输入微波权值网络,另一部分输入给(N+1)×M开关矩阵的第1~第N个输入口;(N+1)×M开关矩阵从N个通道中选择出有干扰的M个通道的信号,将其送给信号正交化器;信号正交化器将M个通道的每一个通道的信号进行正交化,形成M对I/Q信号,并传输给A/D采集器;A/D采集器6对I/Q信号进行采集后送给处理器;处理器首先估计干扰信号的波达方向,然后根据估计的干扰方向确定调零波束形成权值,并将波束形成权值减去通道幅相分布误差后送给微波权值网络;微波权值网络将耦合器送来的信号在微波频段进行加权后送给波束合成网络;波束合成网络将加权后的微波信号在其输出口叠加形成期望的调零波束,该波束经合成信号耦合器的直通口输出;In the zero-adjusting working mode: the antenna array composed of N radiating units receives external high-frequency microwave signals and sends them to N down-converters, and the N down-converters respectively convert the received high-frequency microwave signals into low-frequency microwave signals; N Each coupler divides the down-converted microwave signal into two parts, one part is input to the microwave weight network, and the other part is input to the first to Nth input ports of the (N+1)×M switch matrix; (N+1 )×M switch matrix selects the signals of M channels with interference from N channels and sends them to the signal orthogonalizer; the signal orthogonalizer orthogonalizes the signals of each of the M channels , form M pairs of I/Q signals, and transmit them to the A/D collector; A/D collector 6 collects the I/Q signals and sends them to the processor; the processor first estimates the direction of arrival of the interference signal, and then according to The estimated interference direction determines the zero-adjusted beamforming weight, and sends the beamforming weight minus the channel amplitude and phase distribution error to the microwave weight network; the microwave weight network weights the signal sent by the coupler in the microwave frequency band Send it to the beamforming network; the beamforming network superimposes the weighted microwave signal at its output port to form the desired zeroing beam, which is output through the through port of the synthetic signal coupler;

波达方向检测工作模式:N个辐射单元组成的天线阵面接收外来高频段微波信号;N个下变频器将高频段微波信号变换为低频段的微波信号;N个耦合器将变频后的微波信号输入给(N+1)×M开关矩阵;(N+1)×M开关矩阵从N个通道中选择出M个通道的信号,将其送给信号正交化器;信号正交化器将M个通道的每一个通道的信号进行正交化,形成M对I/Q信号,并传输给A/D采集器;A/D采集器对I\Q信号进行采集后送给处理器;处理器对信号波达方向进行估计;Direction of arrival detection working mode: the antenna array composed of N radiating units receives external high-frequency microwave signals; N down-converters convert high-frequency microwave signals into low-frequency microwave signals; N couplers convert frequency-converted microwave The signal is input to the (N+1)×M switch matrix; the (N+1)×M switch matrix selects the signals of M channels from the N channels, and sends them to the signal orthogonalizer; the signal orthogonalizer Orthogonalize the signals of each of the M channels to form M pairs of I/Q signals and transmit them to the A/D collector; the A/D collector collects the I/Q signals and sends them to the processor; The processor estimates the direction of arrival of the signal;

波束在轨重构工作模式:N个辐射单元组成的天线阵面接收外来高频段微波信号分别输出至N个下变频器;每个下变频器将高频段微波信号变换为较低频段的微波信号;N个耦合器分别将变频后的微波信号输入给微波权值网络;处理器将预先确定的波束在轨重构权值减去通道幅相分布误差送给微波权值网络;微波权值网络将耦合器送来的信号在微波频段进行加权后送给波束合成网络;波束合成网络将加权后的信号在其输出口叠加形成期望的重构波束,该波束经合成信号耦合器的直通口输出。Beam on-orbit reconstruction mode: the antenna array composed of N radiating units receives external high-frequency microwave signals and outputs them to N down-converters; each down-converter converts high-frequency microwave signals into lower-frequency microwave signals ; N couplers respectively input the frequency-converted microwave signal to the microwave weight network; the processor sends the predetermined beam on-orbit reconstruction weight minus the channel amplitude and phase distribution error to the microwave weight network; the microwave weight network The signal sent by the coupler is weighted in the microwave frequency band and then sent to the beamforming network; the beamforming network superimposes the weighted signal at its output port to form the desired reconstructed beam, which is output through the through port of the synthesized signal coupler .

所述的通道幅相分布误差的确定通过处理器选择进入校准工作模式,在校准工作模式下获得,具体过程如下:The determination of the channel amplitude and phase distribution error is obtained by selecting and entering the calibration mode by the processor, and the specific process is as follows:

校准信号源通过校准天线向阵元发送校准信号;N个辐射单元组成的天线阵面接收校准信号分别输出至N个下变频器;每个下变频器分别将校准信号变换为低频段的微波信号输出至耦合器;耦合器将变频后的微波信号分为两部分,一部分输入给(N+1)×M开关矩阵的第1~第N个输入口;另一部分输入给微波权值网络,微波权值网络将此部分信号送给波束合成网络,波束合成网络将微波信号输出给合成信号耦合器,合成信号耦合器将通过其耦合口的合成信号耦合输出给(N+1)×M开关矩阵的第(N+1)输入口;由处理器确定所有通道相对于第1个通道耦合输出信号的相对幅相分布,再将校准天线距离N个辐射单元的位置差异带来的幅度和相位误差,在1~N个通道的相对幅相分布中进行补偿并归一化,得到通道幅相分布误差。The calibration signal source sends calibration signals to the array elements through the calibration antenna; the antenna array composed of N radiation elements receives the calibration signals and outputs them to N down-converters respectively; each down-converter converts the calibration signals into low-frequency microwave signals Output to the coupler; the coupler divides the frequency-converted microwave signal into two parts, one part is input to the 1st to Nth input ports of the (N+1)×M switch matrix; the other part is input to the microwave weight network, microwave The weight network sends this part of the signal to the beamforming network, and the beamforming network outputs the microwave signal to the composite signal coupler, and the composite signal coupler couples the composite signal through its coupling port to the (N+1)×M switch matrix The (N+1)th input port; the processor determines the relative amplitude and phase distribution of all channels relative to the coupled output signal of the first channel, and then calibrates the amplitude and phase errors caused by the position difference between the antenna and the N radiation elements , compensate and normalize the relative amplitude and phase distribution of 1 to N channels, and obtain the channel amplitude and phase distribution error.

所述的校准工作模式下处理器确定所有通道相对于第1个通道耦合输出信号的相对幅相分布的步骤如下:The steps for the processor to determine the relative amplitude and phase distribution of all channels relative to the coupled output signal of the first channel in the calibration working mode are as follows:

第一步,处理器先将第1个通道的微波权值网络置为无衰减与无移相状态,其它通道的微波权值网络置为最大衰减状态;In the first step, the processor first sets the microwave weight network of the first channel to the state of no attenuation and no phase shift, and sets the microwave weight network of other channels to the state of maximum attenuation;

第二步,(N+1)×M开关矩阵将第1个通道的耦合输出信号作为参考信号与合成信号耦合器12输出的耦合信号送给信号正交化器;信号正交化器将这两路信进行正交化,形成两对I/Q信号,并传输给A/D采集器;A/D采集器对2对I\Q信号进行采集后送给处理器;处理器对A/D采集器采集的两路信号进行幅相比较,得到第1个通道相对于第1个通道耦合输出信号的相对幅相分布;In the second step, the (N+1)×M switch matrix sends the coupled output signal of the first channel as a reference signal and the coupled signal output by the synthesized signal coupler 12 to the signal orthogonalizer; The two-way signals are orthogonalized to form two pairs of I/Q signals and transmitted to the A/D collector; the A/D collector collects 2 pairs of I\Q signals and sends them to the processor; The two signals collected by the D collector are compared in amplitude and phase, and the relative amplitude and phase distribution of the first channel relative to the coupled output signal of the first channel is obtained;

第三步,处理器然后依次将第2~N个通道的微波权值网络置为无衰减与无移相状态,其它通道的微波权值网络置为最大衰减状态,(N+1)×M开关矩阵将第1个通道的耦合输出信号作为参考信号与合成信号耦合器输出的耦合信号送给信号正交化器;信号正交化器将这两路信进行正交化,形成两对I/Q信号,并传输给A/D采集器;A/D采集器对I\Q信号进行采集后送给处理器;处理器对A/D采集器采集的两路信号进行幅相比较,分别得到通道2~N相对于第1个通道耦合输出信号的相对幅相分布。In the third step, the processor then sequentially sets the microwave weight network of the 2nd to N channels to the state of no attenuation and no phase shift, and sets the microwave weight network of other channels to the state of maximum attenuation, (N+1)×M The switch matrix sends the coupled output signal of the first channel as a reference signal and the coupled signal output by the synthesized signal coupler to the signal orthogonalizer; the signal orthogonalizer orthogonalizes the two channels of signals to form two pairs of I /Q signal, and transmit it to the A/D collector; the A/D collector collects the I\Q signal and sends it to the processor; the processor compares the amplitude of the two signals collected by the A/D collector, respectively Obtain the relative amplitude and phase distribution of channels 2-N relative to the coupled output signal of the first channel.

所述的N≥3,M≥3。Said N≥3, M≥3.

所述的低频段为微波频段。The low frequency band is microwave frequency band.

所述的微波权值网络工作在微波频段。The microwave weight network works in the microwave frequency band.

所述的(N+1)×M开关矩阵工作在微波频段。The (N+1)×M switch matrix works in the microwave frequency band.

所述的干扰信号的波达方向估计采用多重信号分类算法实现。The direction-of-arrival estimation of the interference signal is realized by using a multiple signal classification algorithm.

所述的调零工作模式下的确定调零波束形成权值实现算法如下:The implementation algorithm for determining the zeroing beamforming weights in the zeroing working mode is as follows:

minmin (( ΔϵΔϵ )) == minmin {{ || WW -- WW qq || }} WW Hh ββ == 00

其中,Wq是无干扰存在时的微波权值网络的权矢量,又称静态权矢量;β是干扰角度形成的单位方向矩阵,W是待求的调零波束形成权值,即调零权矢量;WH是W的共轭转置矩阵,△ε是待求调零权矢量W与静态权矢量Wq之间误差的绝对值;在无干扰的情况下,通过改变静态权矢量,使阵列接收到的信号形成所需要的方向图;Among them, W q is the weight vector of the microwave weight network when there is no interference, also known as the static weight vector; vector; W H is the conjugate transpose matrix of W, △ε is the absolute value of the error between the weight vector W to be zeroed and the static weight vector W q ; in the case of no interference, by changing the static weight vector, so that The signal received by the array forms the required pattern;

采用拉格朗日乘数法求解得到的W即为基于保形(保持Wq最小变化)设计所得到的调零权矢量,用Wnull表示,为:The W obtained by using the Lagrange multiplier method is the zeroing weight vector obtained based on the conformal (keeping W q minimum change) design, represented by W null , as:

Wnull=(I-β(βHβ)-1βH)Wq W null =(I-β(β H β) -1 β H )W q

式中,I是幺阵,βH是β的共轭转置矩阵。In the formula, I is a unitary matrix, and β H is the conjugate transpose matrix of β.

本发明与现有技术相比有益效果为:Compared with the prior art, the present invention has beneficial effects as follows:

(1)本发明提出的将高频段微波信号下变频到较低的微波频段进行波束形成的方案,既保证了天线的射频工作带宽,又降低了权值网络实现的难度与复杂度(采用目前现有的权值网络实现方式即可),并且具有更高的权值实现精度;(1) The scheme of down-converting high-frequency microwave signals to lower microwave frequency bands for beamforming proposed by the present invention not only ensures the radio frequency working bandwidth of the antenna, but also reduces the difficulty and complexity of weight network implementation (using the current The existing weight network implementation method is enough), and has higher weight realization accuracy;

(2)本发明提出的空间幅相补偿的外校正方法,使外校正方法不再受空间的限制,降低了高频段外校正方法实现的难度又保证了精度,可以推广应用到较小规模且空间受限的阵列天线的通道幅相误差校正,具有广泛的适用性和推广应用价值;(2) The external correction method of spatial amplitude and phase compensation proposed by the present invention makes the external correction method no longer limited by space, reduces the difficulty of realizing the high-frequency band external correction method and ensures the accuracy, and can be applied to smaller scales and The channel amplitude and phase error correction of space-constrained array antenna has wide applicability and application value;

(3)本发明提出保形的调零方案,降低了调零后服务区内方向图的起伏,使服务区内信号强度的变化范围缩小,降低了信号链路实现的难度。(3) The present invention proposes a conformal zeroing scheme, which reduces the ups and downs of the direction diagram in the service area after zeroing, reduces the variation range of signal strength in the service area, and reduces the difficulty of realizing the signal link.

(4)本发明提出的波达方向估计、调零、波束在轨重构的多工作模式,使调零天线具有更大的灵活性和更强的抗干扰能力。(4) The multiple working modes of direction of arrival estimation, nulling, and on-orbit beam reconstruction proposed by the present invention enable the nulling antenna to have greater flexibility and stronger anti-jamming capability.

附图说明Description of drawings

图1为本发明组成框图。Fig. 1 is a block diagram of the present invention.

具体实施方式Detailed ways

下面结合附图对本发明天线做详细的说明,如图1所示,具体如下:Below in conjunction with accompanying drawing, antenna of the present invention is described in detail, as shown in Figure 1, specifically as follows:

一、天线结构介绍1. Antenna Structure Introduction

调零天线包括:N个辐射单元组成的天线阵面1、N个下变频器2、N个耦合器3、(N+1)×M开关矩阵4、信号正交化器5、A/D采集器6、处理器7、微波权值网络8、波束合成网络9、合成信号耦合器12、校准信号源11、校准天线10;上述N≥3,M≥3。处理器7控制调零天线的工作模式,包括调零工作模式、波达方向检测工作模式、波束在轨重构工作模式和校准工作模式;各个工作模式下的具体实现方式如下:The zeroing antenna includes: antenna array composed of N radiating elements 1, N down-converters 2, N couplers 3, (N+1)×M switch matrix 4, signal orthogonalizer 5, A/D Collector 6, processor 7, microwave weight network 8, beamforming network 9, composite signal coupler 12, calibration signal source 11, calibration antenna 10; above N≥3, M≥3. The processor 7 controls the working modes of the zeroing antenna, including the zeroing working mode, the direction of arrival detection working mode, the beam on-orbit reconstruction working mode and the calibration working mode; the specific implementation methods in each working mode are as follows:

1)调零工作模式下,由N个辐射单元组成的天线阵面1接收外来高频段的信号;N个下变频器2将高频段微波信号变换为较低频段(微波频段)的微波信号;N个耦合器3将下变频后的微波信号分为两部分,一部分输入微波权值网络8,另一部分输入给(N+1)×M开关矩阵4;(N+1)×M开关矩阵4从N个通道中选择出有干扰的M个通道的信号,将其送给信号正交化器5;信号正交化器5将M个通道的每一个通道的信号进行正交化,形成M对I/Q信号,并传输给A/D采集器6;A/D采集器6对I\Q信号进行采集后送给处理器7;处理器7利用多重信号分类方法(Multiple Signal Classification,MUSIC)实现对干扰信号波达方向(Direction ofArrival,DOA)的估计;再根据干扰方向利用保形的调零算法计算出调零波束形成权值,并将波束形成权值送给微波权值网络8;微波权值网络8将耦合器3送来的信号在微波频段进行幅相加权后送给波束合成网络9;波束合成网络9将加权后的微波信号在其输出口叠加形成期望的调零波束,并经合成信号耦合器12的直通口输出。1) In the zeroing mode, the antenna array 1 composed of N radiating units receives external high-frequency signals; N down-converters 2 convert high-frequency microwave signals into microwave signals of lower frequency (microwave frequency); N couplers 3 divide the down-converted microwave signal into two parts, one part is input to the microwave weight network 8, and the other part is input to the (N+1)×M switch matrix 4; (N+1)×M switch matrix 4 Select the signals of M channels with interference from the N channels, and send them to the signal orthogonalizer 5; the signal orthogonalizer 5 orthogonalizes the signals of each channel of the M channels to form M The I/Q signal is transmitted to the A/D collector 6; the A/D collector 6 collects the I/Q signal and sends it to the processor 7; the processor 7 utilizes multiple signal classification methods (Multiple Signal Classification, MUSIC ) to realize the estimation of the Direction of Arrival (DOA) of the interference signal; then according to the interference direction, the zeroing beamforming weight is calculated by using the conformal zeroing algorithm, and the beamforming weight is sent to the microwave weight network8 ; The microwave weight network 8 sends the signal sent by the coupler 3 to the beam forming network 9 after amplitude-phase weighting in the microwave frequency band; the beam forming network 9 superimposes the weighted microwave signals at its output port to form a desired zeroing beam , and output through the straight-through port of the synthesized signal coupler 12.

2)波达方向检测工作模式下,由N个辐射单元组成的天线阵面1接收外来信号;N个下变频器2将高频段微波信号变换为较低频段的微波信号;N个耦合器3将变频后的微波信号输入给(N+1)×M开关矩阵4;(N+1)×M开关矩阵4从N个通道中选择出M个通道的信号,将其送给信号正交化器5;信号正交化器5将M个通道的每一个通道的信号进行正交化,形成M对I/Q信号,并传输给A/D采集器6;A/D采集器6对I\Q信号进行采集后送给处理器7;处理器7利用多重信号分类方法(Multiple Signal Classification,MUSIC)实现对信号波达方向(Direction ofArrival,DOA)的估计。2) In the direction-of-arrival detection working mode, the antenna front 1 composed of N radiation units receives external signals; N down-converters 2 convert high-frequency microwave signals into lower-frequency microwave signals; N couplers 3 Input the frequency-converted microwave signal to (N+1)×M switch matrix 4; (N+1)×M switch matrix 4 selects the signals of M channels from N channels, and sends them to the signal orthogonalization Device 5; signal orthogonalizer 5 carries out orthogonalization to the signal of each channel of M channels, forms M pairs of I/Q signals, and transmits to A/D collector 6; A/D collector 6 pairs I After the \Q signal is collected, it is sent to the processor 7; the processor 7 uses the multiple signal classification method (Multiple Signal Classification, MUSIC) to realize the estimation of the signal direction of arrival (Direction of Arrival, DOA).

3)波束在轨重构工作模式下,由N个辐射单元组成的天线阵面1接收外来信号;N个下变频器2将高频段微波信号变换为较低频段的微波信号;N个耦合器3将变频后的微波信号输入给微波权值网络8;处理器7将预先确定的波束在轨重构权值送给微波权值网络8;微波权值网络8将耦合器3送来的信号进行加权后送给波束合成网络9;波束合成网络9将加权后的信号在其输出口叠加形成期望的重构波束,并经合成信号耦合器12的直通口输出。3) In the beam on-orbit reconstruction mode, the antenna array 1 composed of N radiating elements receives external signals; N down-converters 2 convert high-frequency microwave signals into lower-frequency microwave signals; N couplers 3. Input the frequency-converted microwave signal to the microwave weight network 8; the processor 7 sends the predetermined beam on-orbit reconstruction weight to the microwave weight network 8; the microwave weight network 8 sends the signal sent by the coupler 3 The weighted signal is sent to the beamforming network 9; the beamforming network 9 superimposes the weighted signals at its output port to form a desired reconstructed beam, and outputs it through the through port of the synthesized signal coupler 12.

4)校准工作模式下,校准信号源11通过校准天线10向辐射单元发送校准信号;由N个辐射单元组成的天线阵面1接收校准信号;N个下变频器2将高频段的校准信号变换为较低频段的微波信号;N个耦合器3将变频后的微波信号分为两部分,一部分输入给(N+1)×M开关矩阵4的第1~第N个输入口;另一部分输入给微波权值网络8,微波权值网络8将此部分信号送给波束合成网络9,波束合成网络9将微波信号输出给合成信号耦合器12,合成信号耦合器12通过其耦合口将合成信号的一部分耦合输出给(N+1)×M开关矩阵4的第(N+1)输入口;处理器7根据空间幅相补偿的外校正算法,将校准天线距离N个辐射单元的位置差异带来的幅度和相位误差,在1~N个通道的相对幅相分布中进行补偿并归一化,得到真实的通道幅相分布误差。4) In the calibration working mode, the calibration signal source 11 sends a calibration signal to the radiation unit through the calibration antenna 10; the antenna array 1 composed of N radiation units receives the calibration signal; N down-converters 2 convert the high-frequency calibration signal It is a microwave signal in a lower frequency band; N couplers 3 divide the frequency-converted microwave signal into two parts, one part is input to the first to Nth input ports of (N+1)×M switch matrix 4; the other part is input To the microwave weight network 8, the microwave weight network 8 sends this part of the signal to the beamforming network 9, and the beamforming network 9 outputs the microwave signal to the composite signal coupler 12, and the composite signal coupler 12 passes the composite signal through its coupling port A part of coupling output to the (N+1)th input port of (N+1)×M switch matrix 4; processor 7 according to the external correction algorithm of spatial amplitude and phase compensation, the position difference of the calibration antenna distance from N radiation elements The resulting amplitude and phase errors are compensated and normalized in the relative amplitude and phase distribution of 1 to N channels to obtain the real channel amplitude and phase distribution errors.

二、算法介绍2. Algorithm introduction

1、调零工作模式下的保形的调零算法如下:1. The shape-preserving zeroing algorithm in the zeroing mode is as follows:

minmin (( ΔϵΔϵ )) == minmin {{ || WW -- WW qq || }} WW Hh ββ == 00

其中,Wq是无干扰存在时的微波权值网络的权矢量,又称静态权矢量;β是干扰角度形成的单位方向矩阵,W是待求的调零波束形成权值,即调零权矢量;WH是W的共轭转置矩阵,△ε是待求调零权矢量W与静态权矢量Wq之间误差的绝对值;在无干扰的情况下,通过改变静态权矢量,使阵列接收到的信号形成所需要的方向图;Among them, W q is the weight vector of the microwave weight network when there is no interference, also known as the static weight vector; vector; W H is the conjugate transpose matrix of W, △ε is the absolute value of the error between the weight vector W to be zeroed and the static weight vector W q ; in the case of no interference, by changing the static weight vector, so that The signal received by the array forms the required pattern;

采用拉格朗日乘数法求解得到的W即为基于保形(保持Wq最小变化)设计所得到的调零权矢量,用Wnull表示,为:The W obtained by using the Lagrange multiplier method is the zeroing weight vector obtained based on the conformal (keeping W q minimum change) design, represented by W null , as:

Wnull=(I-β(βHβ)-1βH)Wq W null =(I-β(β H β) -1 β H )W q

式中,I是幺阵,βH是β的共轭转置矩阵。In the formula, I is a unitary matrix, and β H is the conjugate transpose matrix of β.

2、校准工作模式下的空间幅相补偿的外校准算法如下:2. The external calibration algorithm of spatial amplitude and phase compensation in the calibration mode is as follows:

校准天线与天线阵(即N个辐射单元组成的天线阵面)之间的距离不满足一般外校正算法所要求的不小于200个波长的条件;校准天线相位中心与辐射单元相位中心之间的物理距离是准确已知的,分别为dj(j=1~N),其所带来的空间幅度与相位误差为:The distance between the calibration antenna and the antenna array (that is, the antenna array composed of N radiating elements) does not meet the condition of not less than 200 wavelengths required by the general external correction algorithm; the distance between the calibration antenna phase center and the radiating element phase center The physical distance is known accurately, which are respectively d j (j=1~N), and the spatial amplitude and phase errors brought about by it are:

ΔΔ AA jj == 2020 loglog (( dd jj λλ )) -- 2020 loglog (( dd 11 λλ )) ,, ii == 11 ~~ NN

Figure BDA00003172517800092
Figure BDA00003172517800092

开启校准信号源,将第j个通道的微波权值网络的权值幅度与相位均置为0(即无衰减无移相),其它通道的微波权值网络幅度置为最大衰减或关闭,利用(N+1)×M开关矩阵将第1个通道的耦合输出信号(作为参考信号)与合成信号耦合器输出的耦合信号送给信号正交化器,由A/D采集器得到第1个通道的耦合器输出信号的实、虚部

Figure BDA00003172517800093
以及第j个通道信号的实、虚部
Figure BDA00003172517800094
计算出第j个通道信号相对于第1个通道的耦合器输出信号的幅度与相位差:Turn on the calibration signal source, set the weight amplitude and phase of the microwave weight network of the jth channel to 0 (that is, no attenuation and no phase shift), set the microwave weight network amplitude of other channels to the maximum attenuation or close, use The (N+1)×M switch matrix sends the coupled output signal of the first channel (as a reference signal) and the coupled signal output by the synthesized signal coupler to the signal orthogonalizer, and the first channel is obtained by the A/D collector The real and imaginary parts of the coupler output signal of the channel
Figure BDA00003172517800093
And the real and imaginary parts of the jth channel signal
Figure BDA00003172517800094
Calculate the amplitude and phase difference of the jth channel signal relative to the coupler output signal of the first channel:

BB 11 == (( AA 11 II )) 22 ++ (( AA 11 QQ )) 22

φφ 11 == arctgarctg (( AA 11 QQ AA 11 II ))

BB jj == (( AA jj II )) 22 ++ (( AA jj QQ )) 22 ,, jj == 11 ~~ NN

φφ jj == arctgarctg (( AA jj QQ AA jj II )) ,, jj == 11 ~~ NN

ΔBj=20log(Bj)-20log(B1)    j=1~NΔB j =20log(B j )-20log(B 1 ) j=1~N

Figure BDA00003172517800103
Figure BDA00003172517800103

式中,B1、φ1、Bj、φj分别为第1个通道的耦合输出信号与合成波束耦合信号的幅度(单位为dB)与相位(单位为°);ΔBj、Δφj分别为第j个通道信号相对于第1个通道的耦合输出信号的幅度与相位差。In the formula, B 1 , φ 1 , B j , φ j are the amplitude (in dB) and phase (in °) of the coupled output signal of the first channel and the coupled signal of the synthesized beam respectively; ΔB j and Δφ j are respectively is the magnitude and phase difference of the jth channel signal relative to the coupled output signal of the first channel.

对校准天线相位中心与辐射单元相位中心之间的物理距离带来的空间幅相误差进行补偿,得到各个通道相对于第1个通道的归一化幅度与相位差,算法如下:Compensate the spatial amplitude and phase error caused by the physical distance between the phase center of the calibration antenna and the phase center of the radiation unit, and obtain the normalized amplitude and phase difference of each channel relative to the first channel. The algorithm is as follows:

ΔBj—Nor=ΔBj-ΔAj    j=1~NΔB j—Nor =ΔB j -ΔA j j=1~N

Figure BDA00003172517800104
式中,ΔBj—Nor、Δφj—Nor、分别为第j个通道信号相对于第1个通道的归一化幅度与相位差。
Figure BDA00003172517800104
In the formula, ΔB j—Nor , Δφ j—Nor , are the normalized amplitude and phase difference of the jth channel signal relative to the first channel, respectively.

本发明未详细说明部分属本领域技术人员公知常识。Parts not described in detail in the present invention belong to the common knowledge of those skilled in the art.

Claims (9)

1.一种调零天线,其特征在于:包括N个辐射单元组成的天线阵面(1)、N个下变频器(2)、N个耦合器(3)、(N+1)×M开关矩阵(4)、信号正交化器(5)、A/D采集器(6)、处理器(7)、微波权值网络(8)、波束合成网络(9)、合成信号耦合器(12)、校准信号源(11)、校准天线(10);处理器(7)控制调零天线的工作模式,包括调零工作模式、波达方向检测工作模式、波束在轨重构工作模式;其中:1. A zero-adjusting antenna, characterized in that it includes an antenna array composed of N radiation elements (1), N down-converters (2), N couplers (3), (N+1)×M Switch matrix (4), signal orthogonalizer (5), A/D collector (6), processor (7), microwave weight network (8), beamforming network (9), synthetic signal coupler ( 12), Calibrate the signal source (11), calibrate the antenna (10); the processor (7) controls the working mode of the zeroing antenna, including the zeroing working mode, the direction of arrival detection working mode, and the beam on-orbit reconstruction working mode; in: 调零工作模式下:N个辐射单元组成的天线阵面(1)接收外来高频段微波信号输送至N个下变频器(2),N个下变频器(2)分别将接收的高频段微波信号变换为低频段微波信号;N个耦合器(3)分别将下变频后的微波信号分为两部分,一部分输入微波权值网络(8),另一部分输入给(N+1)×M开关矩阵(4)的第1~第N个输入口;(N+1)×M开关矩阵(4)从N个通道中选择出有干扰的M个通道的信号,将其送给信号正交化器(5);信号正交化器(5)将M个通道的每一个通道的信号进行正交化,形成M对I/Q信号,并传输给A/D采集器(6);A/D采集器(6)对I/Q信号进行采集后送给处理器(7);处理器(7)首先估计干扰信号的波达方向,然后根据估计的干扰方向确定调零波束形成权值,并将波束形成权值减去通道幅相分布误差后送给微波权值网络(8);微波权值网络(8)将耦合器(3)送来的信号在微波频段进行加权后送给波束合成网络(9);波束合成网络(9)将加权后的微波信号在其输出口叠加形成期望的调零波束,该波束经合成信号耦合器(12)的直通口输出;In the zeroing working mode: the antenna array (1) composed of N radiating units receives external high-frequency microwave signals and transmits them to N down-converters (2), and the N down-converters (2) respectively transmit the received high-frequency microwave signals to The signal is converted into a low-frequency microwave signal; N couplers (3) respectively divide the down-converted microwave signal into two parts, one part is input to the microwave weight network (8), and the other part is input to the (N+1)×M switch The 1st to Nth input ports of matrix (4); (N+1)×M switch matrix (4) selects the signals of M channels with interference from N channels, and sends them to signal orthogonalization device (5); the signal orthogonalizer (5) orthogonalizes the signals of each of the M channels to form M pairs of I/Q signals, and transmits them to the A/D collector (6); A/D The D collector (6) collects the I/Q signal and sends it to the processor (7); the processor (7) first estimates the direction of arrival of the interference signal, and then determines the zeroing beamforming weight according to the estimated interference direction, And send the beamforming weight to the microwave weight network (8) after subtracting the channel amplitude and phase distribution error; the microwave weight network (8) weights the signal sent by the coupler (3) in the microwave frequency band and sends it to the beam Synthesis network (9); the beam synthesis network (9) superimposes the weighted microwave signals at its output port to form a desired zero-adjustment beam, and the beam is output through the through port of the synthesis signal coupler (12); 波达方向检测工作模式:N个辐射单元组成的天线阵面(1)接收外来高频段微波信号;N个下变频器(2)将高频段微波信号变换为低频段的微波信号;N个耦合器(3)将变频后的微波信号输入给(N+1)×M开关矩阵(4);(N+1)×M开关矩阵(4)从N个通道中选择出M个通道的信号,将其送给信号正交化器(5);信号正交化器(5)将M个通道的每一个通道的信号进行正交化,形成M对I/Q信号,并传输给A/D采集器(6);A/D采集器6对I\Q信号进行采集后送给处理器(7);处理器(7)对信号波达方向进行估计;Direction of arrival detection working mode: Antenna array composed of N radiating elements (1) receives external high-frequency microwave signals; N down-converters (2) transform high-frequency microwave signals into low-frequency microwave signals; N coupling The converter (3) inputs the frequency-converted microwave signal to the (N+1)×M switch matrix (4); the (N+1)×M switch matrix (4) selects the signals of M channels from the N channels, Send it to the signal orthogonalizer (5); the signal orthogonalizer (5) orthogonalizes the signals of each of the M channels to form M pairs of I/Q signals and transmit them to the A/D The collector (6); the A/D collector 6 collects the I\Q signal and sends it to the processor (7); the processor (7) estimates the direction of arrival of the signal; 波束在轨重构工作模式:N个辐射单元组成的天线阵面(1)接收外来高频段微波信号分别输出至N个下变频器(2);每个下变频器(2)将高频段微波信号变换为较低频段的微波信号;N个耦合器(3)分别将变频后的微波信号输入给微波权值网络(8);处理器(7)将预先确定的波束在轨重构权值减去通道幅相分布误差送给微波权值网络(8);微波权值网络(8)将耦合器(3)送来的信号在微波频段进行加权后送给波束合成网络(9);波束合成网络(9)将加权后的信号在其输出口叠加形成期望的重构波束,该波束经合成信号耦合器(12)的直通口输出。Beam on-orbit reconstruction working mode: the antenna array (1) composed of N radiating elements receives external high-frequency microwave signals and outputs them to N down-converters (2); each down-converter (2) converts high-frequency microwave The signal is converted into a microwave signal of a lower frequency band; N couplers (3) respectively input the frequency-converted microwave signal to the microwave weight network (8); the processor (7) reconstructs the predetermined beam on-orbit weight The channel amplitude and phase distribution error is subtracted and sent to the microwave weight network (8); the microwave weight network (8) weights the signal sent by the coupler (3) in the microwave frequency band and sends it to the beamforming network (9); The synthesizing network (9) superimposes the weighted signals at its output port to form a desired reconstructed beam, and the beam is output through the through port of the synthesizing signal coupler (12). 2.根据权利要求1所述的一种调零天线,其特征在于:所述的通道幅相分布误差的确定通过处理器(7)选择进入校准工作模式,在校准工作模式下获得,具体过程如下:2. A zero-adjusting antenna according to claim 1, characterized in that: the determination of the channel amplitude and phase distribution error is obtained through the selection of the processor (7) to enter the calibration working mode, and the specific process is as follows: 校准信号源(11)通过校准天线(10)向阵元发送校准信号;N个辐射单元组成的天线阵面(1)接收校准信号分别输出至N个下变频器(2);每个下变频器(2)分别将校准信号变换为低频段的微波信号输出至耦合器(3);耦合器(3)将变频后的微波信号分为两部分,一部分输入给(N+1)×M开关矩阵(4)的第1~第N个输入口;另一部分输入给微波权值网络(8),微波权值网络(8)将此部分信号送给波束合成网络(9),波束合成网络(9)将微波信号输出给合成信号耦合器(12),合成信号耦合器(12)将通过其耦合口的合成信号耦合输出给(N+1)×M开关矩阵4的第(N+1)输入口;由处理器(7)确定所有通道相对于第1个通道耦合输出信号的相对幅相分布,再将校准天线距离N个辐射单元的位置差异带来的幅度和相位误差,在1~N个通道的相对幅相分布中进行补偿并归一化,得到通道幅相分布误差。The calibration signal source (11) sends calibration signals to the array elements through the calibration antenna (10); the antenna array (1) composed of N radiation elements receives the calibration signals and outputs them to N down-converters (2); each down-converter The converter (2) converts the calibration signal into a low-frequency microwave signal and outputs it to the coupler (3); the coupler (3) divides the frequency-converted microwave signal into two parts, and one part is input to the (N+1)×M switch The first to Nth input ports of the matrix (4); the other part is input to the microwave weight network (8), and the microwave weight network (8) sends this part of the signal to the beamforming network (9), and the beamforming network ( 9) Output the microwave signal to the composite signal coupler (12), and the composite signal coupler (12) couples the composite signal through its coupling port to the (N+1)th (N+1) of the (N+1)×M switch matrix 4 Input port; the processor (7) determines the relative amplitude and phase distribution of all channels relative to the coupled output signal of the first channel, and then adjusts the amplitude and phase errors caused by the position difference between the calibration antenna and the N radiation elements in the range of 1~ The relative amplitude and phase distributions of N channels are compensated and normalized to obtain channel amplitude and phase distribution errors. 3.根据权利要求2所述的一种调零天线,其特征在于:所述的校准工作模式下处理器(7)确定所有通道相对于第1个通道耦合输出信号的相对幅相分布的步骤如下:3. A zero-adjusting antenna according to claim 2, characterized in that: the step of the processor (7) determining the relative amplitude and phase distribution of all channels relative to the coupled output signal of the first channel in the calibration working mode as follows: 第一步,处理器(7)先将第1个通道的微波权值网络置为无衰减与无移相状态,其它通道的微波权值网络置为最大衰减状态;In the first step, the processor (7) first sets the microwave weight network of the first channel to a no-attenuation and no-phase-shift state, and sets the microwave weight network of other channels to a maximum attenuation state; 第二步,(N+1)×M开关矩阵(4)将第1个通道的耦合输出信号作为参考信号与合成信号耦合器(12)输出的耦合信号送给信号正交化器(5);信号正交化器(5)将这两路信进行正交化,形成两对I/Q信号,并传输给A/D采集器(6);A/D采集器(6)对2对I\Q信号进行采集后送给处理器(7);处理器(7)对A/D采集器(6)采集的两路信号进行幅相比较,得到第1个通道相对于第1个通道耦合输出信号的相对幅相分布;In the second step, the (N+1)×M switch matrix (4) sends the coupled output signal of the first channel as a reference signal and the coupled signal output by the synthesized signal coupler (12) to the signal orthogonalizer (5) ; The signal orthogonalizer (5) orthogonalizes the two channels of signals to form two pairs of I/Q signals, and transmits them to the A/D collector (6); the A/D collector (6) pairs 2 pairs The I\Q signal is collected and sent to the processor (7); the processor (7) compares the amplitude of the two signals collected by the A/D collector (6), and obtains the first channel relative to the first channel The relative amplitude and phase distribution of the coupled output signal; 第三步,处理器(7)然后依次将第2~N个通道的微波权值网络置为无衰减与无移相状态,其它通道的微波权值网络置为最大衰减状态,(N+1)×M开关矩阵(4)将第1个通道的耦合输出信号作为参考信号与合成信号耦合器(12)输出的耦合信号送给信号正交化器(5);信号正交化器(5)将这两路信进行正交化,形成两对I/Q信号,并传输给A/D采集器(6);A/D采集器2对I\Q信号进行采集后送给处理器(7);处理器(7)对A/D采集器(6)采集的两路信号进行幅相比较,分别得到通道2~N相对于第1个通道耦合输出信号的相对幅相分布。In the third step, the processor (7) then sequentially sets the microwave weight network of the 2nd to N channels to the state of no attenuation and no phase shift, and sets the microwave weight network of other channels to the state of maximum attenuation, (N+1 )×M switch matrix (4) sends the coupled output signal of the first channel as a reference signal and the coupled signal output by the synthesized signal coupler (12) to the signal orthogonalizer (5); the signal orthogonalizer (5 ) Orthogonalize the two channels of signals to form two pairs of I/Q signals, and transmit them to the A/D collector (6); A/D collector 2 collects the I\Q signals and sends them to the processor ( 7); the processor (7) compares the amplitude and phase of the two signals collected by the A/D collector (6), and respectively obtains the relative amplitude and phase distributions of channels 2 to N relative to the coupled output signal of the first channel. 4.根据权利要求1所述的调零天线,其特征在于:所述的N≥3,M≥3。4. The zeroing antenna according to claim 1, characterized in that: said N≥3, M≥3. 5.根据权利要求1所述的调零天线,其特征在于:所述的低频段为微波频段。5. The zeroing antenna according to claim 1, wherein the low frequency band is a microwave frequency band. 6.根据权利要求1所述的调零天线,其特征在于:微波权值网络(8)工作在微波频段。6. The zeroing antenna according to claim 1, characterized in that the microwave weight network (8) works in the microwave frequency band. 7.根据权利要求1所述的调零天线,其特征在于:(N+1)×M开关矩阵(4)工作在微波频段。7. The zeroing antenna according to claim 1, characterized in that: the (N+1)×M switch matrix (4) works in the microwave frequency band. 8.根据权利要求1所述的调零天线,其特征在于:所述的干扰信号的波达方向估计采用多重信号分类算法实现。8 . The zeroing antenna according to claim 1 , wherein the estimation of the direction of arrival of the interference signal is realized by using a multiple signal classification algorithm. 9.根据权利要求1所述的调零天线,其特征在于:所述的调零工作模式下的确定调零波束形成权值实现算法如下:9. The zeroing antenna according to claim 1, characterized in that: the implementation algorithm for determining the zeroing beamforming weights in the zeroing working mode is as follows: minmin (( ΔϵΔϵ )) == minmin {{ || WW -- WW qq || }} WW Hh ββ == 00 其中,Wq是无干扰存在时的微波权值网络的权矢量,又称静态权矢量;β是干扰角度形成的单位方向矩阵,W是待求的调零波束形成权值,即调零权矢量;WH是W的共轭转置矩阵,Δε是待求调零权矢量W与静态权矢量Wq之间误差的绝对值;在无干扰的情况下,通过改变静态权矢量,使阵列接收到的信号形成所需要的方向图;Among them, W q is the weight vector of the microwave weight network when there is no interference, also known as the static weight vector; vector; W H is the conjugate transpose matrix of W, Δε is the absolute value of the error between the weight vector W to be zeroed and the static weight vector W q ; in the case of no interference, by changing the static weight vector, the array The received signal forms the required pattern; 采用拉格朗日乘数法求解得到的W即为基于保形(保持Wq最小变化)设计所得到的调零权矢量,用Wnull表示,为:The W obtained by using the Lagrange multiplier method is the zeroing weight vector obtained based on the conformal (keeping W q minimum change) design, represented by W null , as: Wnull=(I-β(βHβ)-1βH)Wq W null =(I-β(β H β) -1 β H )W q 式中,I是幺阵,βH是β的共轭转置矩阵。In the formula, I is a unitary matrix, and β H is the conjugate transpose matrix of β.
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