WO2021174683A1 - 共轭梯度的阵列抗干扰方法 - Google Patents
共轭梯度的阵列抗干扰方法 Download PDFInfo
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- WO2021174683A1 WO2021174683A1 PCT/CN2020/091699 CN2020091699W WO2021174683A1 WO 2021174683 A1 WO2021174683 A1 WO 2021174683A1 CN 2020091699 W CN2020091699 W CN 2020091699W WO 2021174683 A1 WO2021174683 A1 WO 2021174683A1
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- jamming
- conjugate gradient
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- 238000000034 method Methods 0.000 title claims abstract description 35
- 238000004422 calculation algorithm Methods 0.000 claims abstract description 31
- 238000004364 calculation method Methods 0.000 claims abstract description 29
- 238000005457 optimization Methods 0.000 claims abstract description 26
- 230000003044 adaptive effect Effects 0.000 claims abstract description 15
- 238000004891 communication Methods 0.000 claims abstract description 5
- 238000001514 detection method Methods 0.000 claims abstract description 5
- 238000006243 chemical reaction Methods 0.000 claims description 14
- 238000012545 processing Methods 0.000 claims description 7
- 239000011159 matrix material Substances 0.000 claims description 4
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- 238000010586 diagram Methods 0.000 description 4
- 230000001629 suppression Effects 0.000 description 4
- 238000011161 development Methods 0.000 description 3
- 238000002945 steepest descent method Methods 0.000 description 2
- 230000009286 beneficial effect Effects 0.000 description 1
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04K—SECRET COMMUNICATION; JAMMING OF COMMUNICATION
- H04K3/00—Jamming of communication; Counter-measures
- H04K3/40—Jamming having variable characteristics
- H04K3/43—Jamming having variable characteristics characterized by the control of the jamming power, signal-to-noise ratio or geographic coverage area
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04K—SECRET COMMUNICATION; JAMMING OF COMMUNICATION
- H04K2203/00—Jamming of communication; Countermeasures
- H04K2203/30—Jamming or countermeasure characterized by the infrastructure components
- H04K2203/34—Jamming or countermeasure characterized by the infrastructure components involving multiple cooperating jammers
Definitions
- the invention relates to the technical field of multi-sensing or antenna anti-jamming array signal processing, in particular to a conjugate gradient array anti-jamming method.
- Array anti-jamming technology is often used in application scenarios such as satellite navigation and positioning, radar detection, and wireless communication. Its signal is extremely weak, which can easily cause the receiving end to be interfered and lose signal information.
- Typical interference includes suppression interference and deception interference. Among them, suppression interference is the most widely used.
- suppression interference the current most effective method is power inversion. The power inversion method attempts to minimize the output power of the array to achieve the purpose of suppressing interference. At the same time, its adaptability may cause the useful signal to be suppressed in the processing. When the useful signal level is below the noise, the adaptive array will not suppress the useful signal. In this application scenario, this adaptive anti-jamming algorithm can achieve a good anti-jamming effect.
- the criteria commonly used in adaptive anti-jamming algorithms are the minimum mean square error criterion, the maximum signal-to-interference and noise ratio criterion, and the linear constraint minimum variance criterion.
- the minimum mean square error criterion requires only one reference signal information to complete the anti-interference algorithm. We set the signal of an array element as the reference signal. This method can perform interference without knowing any signal prior information. Inhibition is an efficient and quick method.
- an object of the present invention is to propose a conjugate gradient array anti-jamming method.
- the invention uses the iterative weight calculation of the conjugate gradient to effectively reduce the complexity of the traditional algorithm, realize fast adaptive anti-jamming calculation, and Meet the real-time anti-interference requirements of sports equipment.
- the method steps are as follows:
- Step 1 Construct an adaptive array for satellite navigation and positioning, radar detection, and wireless communication application scenarios.
- An anti-interference optimization problem model constructed by a signal model
- Step 2 Based on the conjugate gradient theory, use a low-complexity conjugate iterative algorithm to solve the weight of each antenna or sensor in the adaptive array;
- Step 3 Use field programmable devices to achieve real-time solution of weights.
- the optimization problem model constructed by the signal model of the array anti-interference in the step 1 is:
- s(i) is the vector composed of the desired signal and the interference signal
- the noise is n(i)
- 2 ⁇ E ⁇
- 2 ⁇ E ⁇ x 1 2 ⁇ -2W a H r d +W a H R a W a , so there is an unconstrained optimization problem
- M is the number of array elements
- ( ⁇ )H indicates conjugate transpose
- E( ⁇ ) indicates expectation
- step 2 the specific method steps in step 2 include:
- Step 21 Input signal: X(i);
- Step 26 Determine the value of the 2-norm of the residual r
- Step 28 return to step step 24;
- Step 29 output signal: array weight, and end step 2.
- the subscript k represents the value of the parameter calculated in the kth iteration.
- the solution structure includes a digital down-conversion module, an anti-interference algorithm module, a combined output module, and a digital up-conversion module.
- the down-conversion module multiplies the intermediate frequency signal and the sine-cosine signal to obtain two I/Q quadrature signals, and performs filtering processing, where I represents in-phase and Q represents quadrature.
- the anti-interference algorithm module includes a covariance calculation module, a residual r calculation module, a residual r2-norm calculation module, a threshold judgment valve block, a ⁇ calculation module, an optimization direction p calculation module, and an optimization direction p selector , Optimization step size ⁇ calculation module, weight update module, weight maintenance module.
- the combined output module is to multiply the signal and the weight and add each path to output.
- the up-conversion module multiplies and adds two I/Q signals and a sine and cosine signal to synthesize one signal for output to complete anti-interference processing.
- the weight includes phase or amplitude.
- Figure 1 is a flow chart of the conjugate gradient array anti-jamming method proposed by the present invention
- Fig. 2 is a signal model diagram in the anti-jamming optimization problem in the conjugate gradient array anti-jamming method proposed by the invention
- FIG. 3 is a structure diagram of the implementation of the conjugate gradient algorithm in the conjugate gradient array anti-jamming method proposed by the invention
- Figure 5 is the iterative curve of the residuals of the two algorithms in the conjugate gradient array anti-jamming method proposed by the invention.
- FIG. 6 is the iterative curve of the output signal to interference and noise ratio of the two algorithms in the conjugate gradient array anti-jamming method proposed by the invention.
- a conjugate gradient array anti-jamming method according to an embodiment of the present invention, the method steps are as follows:
- Step 1 Construct an optimization problem model constructed by a signal model for adaptive array anti-jamming for satellite navigation and positioning, radar detection, and wireless communication application scenarios;
- Step 2 Based on the conjugate gradient theory, use a low-complexity conjugate iterative algorithm to solve the weight of each antenna or sensor in the adaptive array, and the weight includes phase or amplitude;
- Step 3 Use field programmable devices to achieve real-time solution of weights.
- the optimization problem model constructed by the signal model of the array anti-interference in the step 1 is:
- s(i) is the vector composed of the desired signal and the interference signal
- the noise is n(i)
- 2 ⁇ E ⁇
- 2 ⁇ E ⁇ x 1 2 ⁇ -2W a H r d +W a H R a W a , so there is an unconstrained optimization problem
- M is the number of array elements
- ( ⁇ )H indicates conjugate transpose
- E( ⁇ ) indicates expectation
- the f function minimizes the parameter Wa.
- the solution structure includes a digital down-conversion module, an anti-interference algorithm module, a combined output module, and a digital up-conversion module.
- the down-conversion module multiplies the intermediate frequency signal and the sine-cosine signal to obtain two I/Q quadrature signals, and performs filtering processing, where I represents in-phase and Q represents quadrature.
- the combined output module is to multiply the signal and the weight and add each path to output.
- the up-conversion module multiplies and adds two I/Q signals and sine and cosine signals to synthesize one signal for output, and complete anti-interference processing.
- the anti-interference algorithm modules include: covariance calculation module, residual r calculation module, residual r2-norm calculation module, threshold judgment valve block, ⁇ calculation module, optimization direction p calculation
- the module, the optimization direction p selector, the optimization step ⁇ calculation module, the weight update module, and the weight maintenance module are used to implement the algorithm in step 2, because the field programmable device is used to achieve the real-time solution of the weight. So step 3 and step 2 are actually executed at the same time;
- the anti-jamming algorithm module in step 3 corresponds to the iterative process of the conjugate gradient algorithm in step 2:
- Step 21 Input signal: X(i);
- Step 26 Determine the value of the 2-norm of the residual r
- Step 28 return to step step 24;
- Step 29 output signal: array weight, and end step 2.
- the subscript k represents the value of the parameter calculated in the kth iteration.
- FGPA Field programmable devices
- Its structure includes digital down-conversion module (IQ demodulation), anti-jamming algorithm module, combined output module, and digital up-conversion Module (IQ modulation).
- IQ demodulation digital down-conversion module
- the antenna receives the radio frequency signal, and the radio frequency channel down-converts the signal to an intermediate frequency, and then converts the analog signal into a digital signal through the ADC chip.
- the signal after the anti-jamming algorithm is converted into an analog signal by the DAC, and then up-converted to the receiver to analyze the signal, and the entire array anti-jamming system is completed.
- the simulation conditions are: useful signal angle -10°, interference signal angle -25°, 10°, and 20°, input signal-to-noise ratio -30dB, interference-to-noise ratio 30dB, 4-element linear array is used, and the distance between the elements is half a wavelength . It can be seen from the figure that the conjugate gradient converges faster than the steepest descent method.
- the invention uses the iterative weight calculation of the conjugate gradient to effectively reduce the complexity of the traditional algorithm, realizes fast adaptive anti-jamming calculation, and can meet the real-time anti-jamming requirements of sports equipment.
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Abstract
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Claims (10)
- 一种共轭梯度的阵列抗干扰方法,其特征在于:方法步骤如下:步骤1、对卫星导航定位、雷达探测以及无线通信应用场景构建自适应阵列抗干扰的由信号模型构建的优化问题模型;步骤2、基于共轭梯度理论,利用低复杂度的共轭迭代算法,求解自适应阵列中每个天线或传感器的权重;步骤3、利用现场可编程器件实现权重的实时求解。
- 根据权利要求1所述的共轭梯度的阵列抗干扰方法,其特征在于:所述步骤1中阵列抗干扰的由信号模型构建的优化问题模型为:X(i)=As(i)+n(i)=[x 1,x 2,x 3,…,x M];第一个阵元接收到的信号作为参考信号d=x 1,调节剩余阵元加权矢量使参考信号与输出加权的均方误差最小,令可调部分的第2-M个阵元上的接收信号和加权矢量为:X a=[x 2,x 3,…,x M],W a=[w 2,w 3,…,w M]阵列输出信号即为误差信号Y=x 1-W a HX a,输出均方误差为f(W a)=E{|e(n)| 2}=E{|Y| 2}=E{x 1 2}-2W a Hr d+W a HR aW a,故有无约束优化问题其中,M为阵元数,(·)H表示共轭转置,E(·)表示求期望,表示f函数对参量Wa求最小值。
- 根据权利要求1所述的共轭梯度的阵列抗干扰方法,其特征在于:所述步骤2中具体方法步骤包括:步骤21、输入信号:X(i);步骤22、计算协方差矩阵R a=E(X aX a H),互相关矢量r d=E(x 1X a H);步骤23、初始化残差r 1与优化方向p:p 1=r 1=r d-R aW 1与阵列权重W 1=[0,…0];步骤25、更新残差r k+1=r d-R aW k+1;步骤26、判断残差r的2-范数的值||r|| 2,若小于阈值,是就跳出循环进 入步骤29,否就进入下一步;步骤28、返回步骤步骤24;步骤29、输出信号:阵列权重,并结束步骤2。
- 根据权利要求3所述的共轭梯度的阵列抗干扰方法,其特征在于:所述下标k表示参量在第k次迭代中计算得到的值。
- 根据权利要求1所述的共轭梯度的阵列抗干扰方法,其特征在于:所述步骤3中,其求解结构包括数字下变频模块、抗干扰算法模块、合路输出模块和数字上变频模块。
- 根据权利要求5所述的共轭梯度的阵列抗干扰方法,其特征在于:所述下变频模块是把中频信号与正余弦信号相乘,得到I/Q两路正交信号,并进行滤波处理,其中I代表同相,Q代表正交。
- 根据权利要求5所述的共轭梯度的阵列抗干扰方法,其特征在于:所述抗干扰算法模块包括协方差计算模块、残差r计算模块、残差r2-范数计算模块、阈值判断阀块、β计算模块、优化方向p计算模块、优化方向p选择器、优化步长a计算模块、权重更新模块、权重保持模块。
- 根据权利要求5所述的共轭梯度的阵列抗干扰方法,其特征在于:所述合路输出模块是将信号与权重相乘并将各路相加输出。
- 根据权利要求5所述的共轭梯度的阵列抗干扰方法,其特征在于:所述上变频模块是将I/Q两路信号与正余弦信号相乘相加,合成一路信号输出,完成抗干扰处理。
- 根据权利要求1所述的共轭梯度的阵列抗干扰方法,其特征在于:所述权重包括相位或幅度。
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