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二维超分辨测向算法理论及应用技术研究
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摘要
为了提高被动探测器的角度分辨力,使其具有对同时到达的多部雷达信号的处理能力,本课题围绕二维超分辨测向算法理论及其在被动探测器中的应用展开研究。主要研究工程应用中急需解决的信源数估计问题、实际系统中阵列误差校正问题和算法的快速实现问题,针对每个问题进行深入细致的探讨,并提出了相应的解决方法,进行了软硬件方案的设计和实现,最后在实际系统中验证了所提算法的有效性,进行了相关指标的测试。
     在信源数估计方面,根据实际系统中的噪声为各阵元之间相关色噪声这一特点,分别提出了基于协方差矩阵对角加载的信源数估计方法和基于改进K-均值聚类算法的信源数估计方法。前一种方法通过对角加载,改善了色噪声导致的特征值发散,然后利用信息论准则估计信源数;后一种方法根据信号特征值与噪声特征值的差异,合理的构造判别准则,然后利用K-均值聚类的思想将噪声特征值和信号特征值划分成两类。两种方法都可应用于色噪声背景下的信源数估计,其估计性能优于盖尔圆盘法,通过计算机仿真实验和实测数据实验验证了算法的有效性。
     在阵列误差校正方面,针对实际系统中对测向性能影响较大的通道幅度和相位不一致性误差,提出了阵列天线通道不一致性校正的辅加阵元法,该方法通过在阵列天线附近设置一个辅加阵元,获取通道幅度和相位不一致性误差的估计,然后对接收数据进行校正。针对系统中存在的阵元位置误差,提出了基于遗传算法的阵元位置误差校正方法,该方法需要在远场设置一个位置不需要精确已知的辅助信源,经过遗传算法的优化获取阵元位置误差和信源位置的联合估计,校正算法可以离线完成,从而不占用算法的运算时间。
     在二维DOA(Direction of arrival—DOA)估计的快速实现方面,提出了基于多级维纳滤波器的二维DOA估计快速算法,利用多级维纳滤波器的前向递推获得接收数据的信号子空间和噪声子空间,从而有效的降低了特征分解的计算量。为了降低二维DOA估计中谱峰搜索的运算量,提出了利用大小步长实现角度搜索的方法,该方法首先选用较大搜索步长确定DOA的粗略估计值,然后在此估计值附近区域内采用小步长进行精搜索,获得DOA的精确估计值,采用该方法可以大大降低二维DOA估计时谱峰搜索的运算量。
     在测向处理器方案设计及实现方面,根据MUSIC(Multiple SignalClassification—MUSIC)算法运算中数据动态范围大、精度要求高的特点和算法实时性的要求,采用四片ADI公司高性能浮点DSP TS101S并行实现MUSIC算法。在实际系统中进行了实验,验证了本文所提算法的有效性,并对测向处理器的相关指标进行了测试。该硬件系统的设计与实现,为研制新型体制的被动探测器和推动MUSIC算法的工程应用奠定了基础。
In order to improve the angle resolution of the passive detector and make it have the capability of measuring multiple simultaneous signals, application of super-resolution DOA estimation algorithm to passive detector is studied in this dissertation. Several problems urgently to be solved are primarily researched, including estimating the number of signals, array error calibration in actual system and fast realization of the algorithm. Each subject is studied in detail, and corresponding calibration methods are proposed. The software and hardware of the direction estimation processor is designed and realized in this dissertation, and the experiments in the practical system prove these proposed methods valid and effective, and some indexes are tested in the system.
     In terms of source number estimation, based on the reality that noise in the system is correlated colour noise, two methods of source number estimation are proposed, one is determining the number of sources based on diagonal loading to the covariance matrix, the other is method of source number detection based on modified K-means clustering. The first method prove that the effect of small eigenvalues on the estimation of source numbers can be reduced by diagonally loading to the corresponding correlation matrix, then the information theoretic criteria method is available. The second method construct a distinguish criteria according to the difference between the signal and noise eigenvalues, and then the signal and noise eigenvalues are classified into two kinds using K- means clustering method. Both of the methods can be applicable in colour noise field, and their performance prefer to the Gerschgorin disks method. Computer simulation results and the available measured data confirmation prove the proposed methods valid.
     In terms of array error calibration, according to the reality that direction estimation performance degrades significantly when channel uncertainty exists, a calibration method for array antenna channel uncertainty using instrumental sensor is proposed. The method obtains the estimation of the channel uncertainty errors by processing the data information of the instrumental sensor's signal, so the influence of channel uncertainty is restrained, and the performance of DOA estimation is improved through errors compensation. According to antenna array position error, a correction method based on genetic algorithm is proposed. The method needs a instrumental source whose precise position is not necessary, and obtains the joint estimation for the antenna position error and direction of source. The method does not increase arithmetic time, because the correction can be done off-line.
     In terms of fast realization of 2-D DOA (Direction of arrival—DOA) estimation, a fast algorithm for 2-D DOA estimation based on multi-stage wiener filter(MSWF) is proposed. Utilizing the forward recursion of the multi-stage wiener filter, we can get the signal and noise subspace, so the calculation is reduced effectively. In order to reduce the calculation of peak value searching in 2-D DOA estimation, a new searching method based on large and small step size is proposed. The roughly estimated value is obtained using large step size searching, and then the precise value is obtained by small-step-size searching in the region of rough value. The calculation of peak value searching in 2-D DOA estimation is drastically reduced by using this method.
     In terms of design and implementation scheme of direction finding processor, according to the characteristic that data's dynamic range is very wide and the precision needs very high, four chips of high performance float DSP TS101 are used to realize the MUSIC (Multiple Signal Classification—MUSIC) algorithm, so the MUSIC algorithm can be realized in real time. The experiments in the practical system prove these proposed methods valid and effective, and some indexes are tested in the system. The design and implementation of the direction measuring system settle a basis for developing new type of passive detective system and engineering application of MUSIC algorithm.
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