改进维纳滤波器及其在目标方位估计中的应用

针对复杂的水声环境以及信噪比较低的目标信号导致方位估计性能较差的问题,本文提出了一种基于改进维纳滤波器和波束形成器的方位估计方法,该方法能够抑制噪声,提高目标方位估计性能。首先利用改进维纳滤波器抑制各通道接收数据中的噪声,提高输出信噪比。在此基础上,将改进维纳滤波器的输出通过波束形成器,获得目标的方位估计。改进维纳滤波器能够通过调整滤波器参数,控制滤波器的噪声抑制能力和信号失真。因此,针对不同的波束形成器对信号失真的敏感程度不同,可以通过调节改进维纳滤波器的参数,获得噪声抑制与信号失真之间的最佳折中,从而提高输出信噪比,降低目标方位估计的信噪比门限和均方根误差。仿真和实验结果验证了本文方法。      

一种改善MVDR波束形成性能的方法

最小方差信号无畸变响应(MVDR)波束形成具有最佳的信号保护、干扰消除和噪声降低能力,即信号/(干扰+噪声)比增益最大,它的能量输出作为一种波数谱(方位)估计器,其估计精度或分辨力受着声场信噪比因素的限制.本文提出一种新的改进MVDR波束形成方位分辨力的方法,它可以调节这种波束形成器权向量中的增强因子(等价于改善声场的信噪比条件),从而改进其方位分辨能力,并且不以牺牲信号/(干扰+噪声)比增益为代价。     

观测平台转向时稀疏贝叶斯学习方位估计

针对观测平台转向时固定安装于其上的声呐线列阵指向快速变化导致的空间谱谱峰变宽问题,提出一种稀疏贝叶斯学习方位估计方法。该方法利用大地坐标系下不同接收快拍中的空域稀疏信号具有相同先验分布的特性,将转向过程中多个阵列指向分别对应的接收快拍信息联合处理,以求得目标方位。仿真分析与海试数据处理显示出,所提方法可以获得谱峰较尖锐的空间谱,具有较高的测向精度和角度分辨力,此外,对由左右舷模糊引起的伪峰有较强的抑制效果。所得结果表明,所提方法可以有效解决谱峰变宽问题,提升了平台转向时的方位估计性能,同时有效地利用阵列指向的变化提高了线阵抗左右舷模糊能力。      

冰下非高斯噪声下的范数约束波束形成方法

为解决冰下环境中噪声模型失配导致方位估计误差较大的问题,提出了一种基于范数约束的波束形成方法。该方法通过对接收信号进行范数约束来优化数据协方差矩阵,克服非高斯噪声带来的模型失配问题,提升方位估计的准确率。信号范数约束的性能分析表明,范数约束可有效抑制非高斯噪声。仿真及试验结果表明,在冰下环境中对接收信号进行范数约束后再实施波束形成可有效提高方位估计结果的准确度和稳定性。     

稀疏矢量阵信号栅瓣及对称伪峰干扰抑制

稀疏矢量阵进行宽带信号处理时,强目标的栅瓣及对称伪峰会干扰弱目标的检测,提出了一种基于理论干扰预测的加权抑制方法。方法利用矢量阵波束形成先获得强目标的波达方向(Direction Of Arrival,DOA)信息以及目标所在方位各频率的幅度谱信息,再利用理论计算公式获得强目标的栅瓣和对称伪峰角度上对应的各频率点的幅度谱强度信息,通过在方位、频率维度加权的方式对强目标的栅瓣和伪峰干扰进行抑制,来改善在强干扰下的弱目标检测能力。方法也适用于多目标情况,对各个目标依次使用,减少多目标时栅瓣和对称伪峰对方位历程的影响,净化了时间方位历程图。对所提方法给出了理论推导过程并进行了仿真和实验验证,实验结果验证可行。结果表明,新方法可以有效地抑制强目标的栅瓣和对称伪峰干扰,提高弱目标的检测能力,此外,净化后的时间方位历程图更利于弱目标检测和目标数量的估计。      

盲重构频域阵列信号的压缩感知水声目标方位估计

针对复杂海洋环境条件下压缩感知水声目标方位估计性能下降的问题,利用盲源分离能够提高信噪比的优势,提出了一种盲重构频域阵列信号的压缩感知水声目标方位估计方法。首先将阵元域信号通过傅里叶变换方法得到多个子带阵列信号;然后对各个子带阵列信号进行复数域盲源分离得到子带解混矩阵和子带分离信号估计,并对子带分离信号进行属性分析和处理;再根据处理后的子带分离信号和子带解混矩阵重构子带阵列信号,对重构的子带阵列信号采用频域压缩感知方法进行空间谱估计,得到各个子带的空间谱;最后将各子带得到的空间谱进行求和,搜索求和后空间谱的峰值则可实现目标方位估计。模拟器数据和海上实测数据验证结果表明,同等条件下该方法的目标检测能力优于经典的最小方差无失真响应(Minimum Variance Distortionless Response,MVDR)方法、频域压缩感知(Compressed Sensing,CS)方法、盲源分离(Blind Source Separation,BSS)与MVDR相结合的方法(BSS+MVDR方法),测向精度更高,明显提高了弱目标信号的空间谱能量,增强了声呐检测弱目标的能力。      

频域单快拍压缩感知目标方位估计和信号恢复方法

方位估计和信号恢复分别是水下目标定位、跟踪和目标识别的前提。提出了一种阵列频域单快拍压缩感知的水下目标方位估计和信号恢复方法。首先将阵列接收数据变换到频域,取频域单快拍数据作为压缩感知的测量值,然后根据频域快拍对应的频率、搜索方位和阵列流形构造过完备的阵列流形矩阵作为压缩感知的感知矩阵,最后通过基追踪算法估计搜索方位上目标信号和功率,实现DOA估计与信号恢复。宽带仿真实验数据验证结果表明,同等条件下完成同样的目标方位分辨,提出的方法比最小方差无失真响应方法要求的阵元数和快拍数较少,要求的信噪比更低,恢复的目标信号更加准确,波形相关系数达到89%以上。海上实验数据处理结果表明,目标检测能力优于最小方差无失真响应方法,证明该方法可以适用于实际声呐系统。      

水声信号稀疏重构的高阶累积量波达方向估计

高阶累积量具有高斯噪声抑制和阵元扩展特性,将高阶累积量引入水声信号的方位估计中,提出了离格稀疏贝叶斯学习重构的高阶累积量测向算法。该方法利用高阶累积量对高斯噪声的自然盲性,计算阵列信号四阶累积量来滤除高斯噪声,使阵元在原来的结构上扩展了一倍;并构造出选择矩阵剔除了四阶累积量中的冗余项,能再一次的扩展阵元,得到的新观测模型具有更好的统计性能;最后利用空域稀疏性,推导出四阶累积量下的离格稀疏表示模型,采用贝叶斯学习解算出源信号的最大后验概率,实现了目标方位估计。数值仿真和海试实验数据表明,该方法在相邻声源方位间隔为4°的情况下分辨概率可达到95%以上,在信噪比大于-5 dB时目标方位估计的均方根误差在1°以内,可显著抑制背景噪声干扰,在多声源密集分布条件下也能准确、稳健的对水声目标方位进行估计。      

一种最佳空间滤波器的实现

根据最佳检测理论以及绝对最佳空间滤波器概念,给出了一种最佳空间滤波器的完整表达式。利用真实舰船航行辐射噪声作为目标及干扰,正态分布高斯白噪声作为噪声背景,在基元等间隔线阵上实现了最佳空间滤波器。给出了不同情况下常规波束形成及最佳空间滤波器处理基阵输出波束图。海上试验数据的实验室分析证明,此最佳空间滤波器能够有效地抑制弱信号附近空间不同方位的数个强干扰,完成指定弱信号的检测,而且该最佳空间滤波器可以方便、实时地在现役数字化声呐装备上实现。     

浅海低频长线阵声源方位估计*

浅海大孔径水平阵信号估计近端射的低频声源方位时, 常规波束形成会产生明显的波束偏移和分裂现象, 从而造成单声源方位估计偏差。针对这一问题, 提出一种基于块稀疏压缩感知的声源方位估计方法。根据简正模理论, 将水平阵接收声场表示为方位角空间的块稀疏信号模型, 并通过块正交匹配追踪算法进行方位估计。仿真和2011年北黄海实验数据结果表明所提块正交匹配追踪方法可实现浅海波导环境下低频近端射的单个声源方位的准确估计。     

一种快速稀疏贝叶斯学习的水声目标方位估计方法研究

针对以具有时序结构的稀疏贝叶斯学习(Temporally multiple sparse Bayesian learning,TMSBL)为重构算法的水声目标DOA (Direction-of-arrival)估计方法存在运算速度慢的问题,结合块稀疏贝叶斯学习(Block-spare Bayesian learning,BSBL)理论框架下DOA估计模型与特点,采用MacKay提出的定点方法(Fixed-point method)对TMSBL算法中的核心超参量进行求解,提出一种快速的水声目标方位估计稀疏贝叶斯学习的方法,该方法具有运算速度快,重构概率高的特点,并通过实验仿真从运算时间、失败率和均方根误差等方面与TMSBL算法进行比较,验证了该方法的可行性与有效性。      

On fast estimation of direction of arrival for underwater acoustic target based on sparse Bayesian learning

The Direction of Arrival(DOA) estimation methods for underwater acoustic target using Temporally Multiple Sparse Bayesian Learning(TMSBL) as the reconstructing algorithm have the disadvantage of slow computing speed.To solve this problem,a fast underwater acoustic target direction of arrival estimation was proposed.Analyzing the model characteristics of block-sparse Bayesian learning framework for DOA estimation,an algorithm was proposed to obtain the value of core hyper-parameter through MacKay's fixed-point method to estimate the DOA.By this process,it will spend less time for computation and provide more superior recovery performance than TMSBL algorithm.Simulation results verified the feasibiUty and effectiveness of the proposed algorithm.     

Weak signal direction of arrival estimation for colocated multiple-input multiple-output sonar array

In order to suppress the influence of symmetrical noise component on multiple-input multiple-output(MIMO)sonar's direction of arrival(DOA)estimation under the condition of low signal-to-noise ratio,we propose a DOA estimation algorithm based on covariance matrix reconstruction method.Firstly,the noise field can be decomposed into symmetrical noise field and asymmetrical noise field.We utilize symmetry property of colored noise matrix and the feature that the imaginary part of covariance matrix has no relation with the symmetry noise to remove the real part of covariance matrix.This operation helps to suppress the influence of colored noise on DOA estimation accuracy.Based on the principle of the imaginary matrix part displacement and the dimension reduction transformation method,the real part of covariance matrix is reconstructed,which helps to suppress the bilateral spectrum interference.Thereafter,Toeplitz method is applied for the covariance matrix decorrelation amendment,and a noise subspace is formed by singular value decomposition(SVD).Finally,we can estimate the DOA of target signals.Both theoretical analysis results and numerical simulation results verify the symmetrical noise suppression performance of this algorithm,and the estimation performance of target azimuth is improved obviously.This method has the characteristics of lower operational complexity,higher degrees of freedom and stronger target resolution.     

密布式多输入多输出声呐阵列目标波达方向估计

针对低信噪比条件下多输入多输出声呐受对称噪声分量影响导致测向性能降低的情况,提出了一种基于协方差矩阵重构方法的波达方向估计算法。首先,将噪声场分为对称噪声和非对称噪声两部分,利用协方差矩阵虚部与对称信号无关的性质,去掉协方差矩阵的实部来降低对称噪声对目标波达方向估计精度的影响,采用降维转换方法和矩阵虚部置换原理重构协方差矩阵的实部,避免了双频谱的干扰。然后利用Toeplitz方法对重构的协方差矩阵进行解相干修正,通过奇异值分解获得噪声子空间,最后对目标的波达方向进行估计,可实现微弱信号的准确测向。理论分析和实验结果表明,该方法明显抑制了对称噪声,提高了目标的波达方向估计性能,具有运算速度快、自由度高和目标分辨力强的特点。      

Noise suppression and details enhancement for infrared image via novel prior

Infrared images always suffer from blurring edges, fewer details and low signal-to-noise ratio. So, sharpening edges and suppressing noise become the urgent techniques in infrared image technology field. However, they are contradictories in most cases. Hence, to depict correctly infrared image features under low signal-to-noise ratio circumstance, a novel prior, which is immune to noise, is presented in this paper. The proposed method scopes noise suppression and details enhancement. In noise suppression, the prior is introduced into Bayesian model to obtain optimal estimation through iteration. In details enhancement, based on the proposed prior, the final image is obtained by the improved unsharp mask algorithm which enhances adaptively details and edges of optimal estimation. The effectiveness and robustness of the proposed method is analyzed by testing the infrared images obtained from different signal-to-noise ratio conditions. Compared with other well-established methods, the proposed method shows a significant performance in terms of noise suppression, actual scene reappearance, enhancing the details and sharpening edges.     

贝叶斯频率估计中频率的先验分布对有色噪声作用的影响

在贝叶斯参数估计理论框架下,研究了被测参数的先验分布对有色噪声的抑制作用.选择一个受1/f~α型谱密度有色噪声影响的自旋1/2量子比特作为量子探测系统来估计一个磁场强度的大小,利用贝叶斯代价函数的动力学演化来评判估计的精度,重点研究先验概率分布对噪声非高斯性的限制作用.研究发现:当先验概率的不确定度比较大时,有色噪声的非高斯性对频率估计精度的影响比较小;当先验概率的不确定度比较小时,有色噪声的非高斯性对频率估计精度的影响比较大.     

Generalized total variation-based MRI Rician denoising model with spatially adaptive regularization parameters

Magnetic resonance imaging (MRI) is an outstanding medical imaging modality but the quality often suffers from noise pollution during image acquisition and transmission. The purpose of this study is to enhance image quality using feature-preserving denoising method. In current literature, most existing MRI denoising methods did not simultaneously take the global image prior and local image features into account. The denoising method proposed in this paper is implemented based on an assumption of spatially varying Rician noise map. A two-step wavelet-domain estimation method is developed to extract the noise map. Following a Bayesian modeling approach, a generalized total variation-based MRI denoising model is proposed based on global hyper-Laplacian prior and Rician noise assumption. The proposed model has the properties of backward diffusion in local normal directions and forward diffusion in local tangent directions. To further improve the denoising performance, a local variance estimator-based method is introduced to calculate the spatially adaptive regularization parameters related to local image features and spatially varying noise map. The main benefit of the proposed method is that it takes full advantage of the global MR image prior and local image features. Numerous experiments have been conducted on both synthetic and real MR data sets to compare our proposed model with some state-of-the-art denoising methods. The experimental results have demonstrated the superior performance of our proposed model in terms of quantitative and qualitative image quality evaluations.