改进的UKF在惯导平台误差模型辨识中的应用

为减小建模误差,建立了基于直接法进行惯导平台误差模型辨识的非线性模型.Unscented Kalman滤波(UKF)是一种新的非线性滤波算法,为此将其引入惯导平台的误差模型辨识中.针对系统模型的特点,对标准UKF算法进行了简化改进.改进的UKF算法计算量小、结构简单,滤波精度与标准UKF一致.同时应用扩展Kalman滤波(EKF)算法和改进的UKF算法进行了惯导平台误差模型辨识仿真研究.仿真结果表明,与EKF算法相比,改进的UKF算法的滤波精度显著提高.     

加权观测融合非线性无迹卡尔曼滤波算法

针对非线性系统的无迹卡尔曼滤波器(UKF),应用加权最小二乘(WLS)法,提出了加权观测融合UKF滤波算法.证明了加权观测融合UKF滤波算法与集中式观测融合UKF滤波算法在数值上的完全等价性,因而具有全局最优性.一个带两传感器非线性系统的仿真例子说明了两种融合算法的有效性及等价性.     

改进的UKF在惯导平台误差模型辨识中的应用

为减小建模误差,建立了基于直接法进行惯导平台误差模型辨识的非线性模型.Unscented Kalman滤波(UKF)是一种新的非线性滤波算法,为此将其引入惯导平台的误差模型辨识中.针对系统模型的特点,对标准UKF算法进行了简化改进.改进的UKF算法计算量小,结构简单,滤波精度与标准UKF一致.同时应用扩展Kalman滤波(EKF)算法和改进的UKF算法进行了惯导平台误差模型辨识仿真研究.仿真结果表明,与EKF算法相比,改进的UKF算法的滤波精度显著提高.

     

SINS大失准角初始对准的改进算法研究

在捷联导航系统优化控制的研究中,捷联惯导系统(SINS)初始对准的误差方程存在是非线性,对于静基座初始对准造成误差较大。传统采用的方法是将失准角视为小角度,可将误差模型线性化,利用KF完成静基座的初始对准。但是对于动基座大失准角来说,多采用非线性滤波方式来解决,建立误差模型,并采用UKF滤波进行数据融合。由于非线性模型的噪声参数未知等原因,常规的UKF可能会出现滤波发散现象,为解决上述问题,提出采用自适应方法的UKF来对建立的非线性模型进行滤波。仿真结果表明,在大失准角情况下,采用非线性模型的AUKF比UKF滤波具有更好的对准精度和更快的收敛速度,可为优化设计提供参考。     

带有色量测噪声的非线性系统 Unscented 卡尔曼滤波器

传统Unscented卡尔曼滤波器(Unscented Kalman filter, UKF)要求噪声必须为高斯白噪声, 无法解 决带有色噪声的非线性系统滤波问题. 为此, 本文提出了一种带有色量测噪声的UKF滤 波新算法. 首先,基于量测信息增广和最小方差估计, 推导出一类带有色量测噪声的非 线性离散系统状态的最优滤波框架, 接着采用Unscented变换(Unscented transformation, UT)来计算最优框架中的 非线性状态后验均值和协方差, 进而得到有色量测噪声下UKF滤波递推公式. 所设 计的UKF新方法能有效地解决传统UKF在量测噪声有色情况下非线性滤波失效的问题, 数 值仿真实例验证了其可行性和有效性.     

基于最小均方误差估计的噪声相关UKF设计

传统Unscented卡尔曼滤波器(UKf)要求系统噪声和量测噪声必须是互不相关的.针对此局限性,研究了一类带相关噪声的非线性离散系统UKF设计方法.基于最小均方误差估计和正交变换,给出了噪声相关UKF滤波递推公式,并采用Unscented变换(UT)来计算系统状态的后验分布.所设计的UKF有效解决了传统UKF在噪声相关条件下非线性滤波失效的问题,拓展了UKF的应用范围.最后,仿真实例表明了所设计UKF的有效性.     

UKF在INS/GPS组合导航直接法滤波中的应用

INS/GPS组合导航系统直接法滤波中是直接以导航系统输出的导航参数(位置、速度等)作为状态,所以系统方程为非线性方程。UKF(Unscented Kalman Filter)是一类以UT变换为基础,以卡尔曼线性滤波为框架,采用确定性采样策略逼近非线性分布的非线性滤波算法。由于它是对后验概率密度进行近似来得到滤波估计,所以避免了非线性系统中状态方程的线性化问题,能较好地解决系统方程非线性问题。论文INS/GPS组合导航系统中采取直接法,建立非线性模型进行UKF滤波解算,并与EKF方法比较,实验结果显示UKF方法能更好地解决系统状态方程非线性的问题,并得到更高的导航精度。     

基于改进UKF的GPS非线性动态滤波研究

为了提高动态定位精度,将一种改进的UKF(Unscented galman Filter)算法应用在GPS非线性动态定位解算中.将UKF算法与IEKF(Iterated Improved Kalman Filter)算法相结合,因此保持了基本UKF算法易于实现和收敛速度快的优点,同时由于滤波值是通过迭代扩展的卡尔曼滤波机制得到,进而更新值能更准确的逼近非线性系统状态概率密度函数,具有更高的精度.应用于GPS非线性动态滤波定位中,仿真结果表明:与UKF算法相比,算法能够明显提高定位精度.     

基于UKF的动力调谐陀螺随机漂移建模研究

随机漂移与陀螺结构及其工作环境存在非线性关系.文中对动力调谐陀螺(DTG)漂移时间序列采用AR模型进行参数粗估计,根据所建立的参数模型,采用UKF滤波方法进行滤波处理,由于UKF是一种较好的非线性滤波方法,它既消除了非线性对陀螺漂移的影响,同时克服了AR模型参数估计过程中参数不稳所带来的误差.实验结果表明,与传统的Kalman滤波方法相比,UKF对于陀螺漂移的随机项滤除效果更好.     

噪声相关条件下Unscented卡尔曼滤波器设计

针对传统Unscented卡尔曼滤波器(UKF)在噪声相关条件下非线性滤波失效的问题,研究了一类带相关噪声的非线性离散系统UKF设计方法.文中基于最小均方误差估计准则,给出了系统噪声和量测噪声相关时UKF滤波递推公式,并采用Unscented变换(UT)来计算系统状态的后验均值和协方差.所设计的噪声相关条件下UKF有效克服了传统UKF必须假设系统噪声和量测噪声为互不相关高斯白噪声的局限性,拓展了UKF的应用范围.仿真实例验证了其可行性和有效性.     

Legendre神经网络非线性信道均衡

在分析Chebyshev正交多项式神经网络非线性滤波器的基础上，利用Legendre正交多项式快速逼近的优良特性以及判决反馈均衡器的结构特点，提出了两种新型结构的非线性均衡器，并利用NLMS算法，推导出自适应算法．仿真表明，无论通信信道是线性还是非线性，Legendre神经网络自适应均衡器与Chebyshev神经网络均衡器的各项性能均接近，而Legendre神经网络判决反馈自适应均衡器能够更有效地消除码间干扰和非线性干扰，误码性能也得到较好的改善．     

Neural FIR adaptive Laguerre equalizer with a gradient adaptive amplitude for nonlinear channel in communication systems

To mitigate the linear and nonlinear distortions in communication systems, two novel nonlinear adaptive equalizers are proposed on the basis of the neural finite impulse response (FIR) filter, decision feedback architecture and the characteristic of the Laguerre filter. They are neural FIR adaptive decision feedback equalizer (SNNDFE) and neural FIR adaptive Laguerre equalizer (LSNN). Of these two equalizers, the latter is simple and with characteristics of both infinite impulse response (IIR) and FIR filte...     

Pipelined functional link artificial recurrent neural network with the decision feedback structure for nonlinear channel equalization

This paper presents a computationally efficient nonlinear adaptive filter by a pipelined functional link artificial decision feedback recurrent neural network (PFLADFRNN) for the design of a nonlinear channel equalizer. It aims to reduce computational burden and improve nonlinear processing capabilities of the functional link artificial recurrent neural network (FLANN). The proposed equalizer consists of several simple small-scale functional link artificial decision feedback recurrent neural network (FLADFRNN) modules with less computational complexity. Since it is a module nesting architecture comprising a number of modules that are interconnected in a chained form, its performance can be further improved. Moreover, the equalizer with a decision feedback recurrent structure overcomes the unstableness thanks to its nature of infinite impulse response structure. Finally, the performance of the PFLADFRNN modules is evaluated by a modified real-time recurrent learning algorithm via extensive simulations for different linear and nonlinear channel models in digital communication systems. The comparisons of multilayer perceptron, FLANN and reduced decision feedback FLANN equalizers have clearly indicated the convergence rate, bit error rate, steady-state error and computational complexity, respectively, for nonlinear channel equalization.     

基于小波包变换的非线性信道均衡器

针对严重线性失真和轻度非线性失真的数字信道，为了提高基于最小均方误差算法的判决反馈均衡器的收敛速度，首先提出用一族正交小波包基函数来表示非线性信道判决反馈均衡器厦其输出，然后给出基于小渡包变换的非线性信道自适应均衡算法。该算法实现了小波包与非线性信道模型的结合，在计算量增加不多的前提下，利用小波包对小波空间的进一步划分以厦比小波变换更强的去相关能力来减小输入信号相关阵的条件数。对典型非线性信道模型的仿真结果表明，该算法可有效提高均衡器的收敛速度。     

基于免疫算法的RBF网络在信道均衡中的应用

针对严重非线性失真信道,提出了一种基于免疫算法的径向基函数(RBF)网络自适应均衡器.这种均衡器引入了判决反馈均衡器的结构,并采用免疫算法确定RBF网络隐层(非线性层)的结构和参数.免疫 算法具有全局搜索能力,它通过引入多样性保持机制和免疫记忆机制提高了算法的优化效率,并在一定程度上克服了未成熟收敛现象.仿真结果表明,这种基于免疫算法的RBF网络均衡器性能优良,具有很强的抑制非线性失真的能力.􀁱     

An adaptive decision feedback equalizer based on the combination of the FIR and FLNN

To compensate the linear and nonlinear distortions and to track the characteristic of the time-varying channel in digital communication systems, a novel adaptive decision feedback equalizer (DFE) with the combination of finite impulse response (FIR) filter and functional link neural network (CFFLNNDFE) is introduced in this paper. This convex nonlinear combination results in improving the convergence speed while retaining the lower steady-state error at the cost of a small increasing computational burden. To further improve the performance of the nonlinear equalizer, we derive here a novel simplified modified normalized least mean square (SMNLMS) algorithm. Moreover, the convergence properties of the proposed algorithm are analyzed. Finally, computer simulation results which support analysis are provided to evaluate the performance of the proposed equalizer over the functional link neural network (FLNN), radial basis function (RBF) neural network and linear equalizer with decision feedback (LMSDFE) for time-invariant and time-variant nonlinear channel models in digital communication systems.     

Equalization of nonlinear time-varying channels using type-2 fuzzyadaptive filters

Presents a kind of adaptive filter: type-2 fuzzy adaptive filter (FAF); one that is realized using an unnormalized type-2 Takagi-Sugeno-Kang (TSK) fuzzy logic system (FLS). We apply this filter to equalization of a nonlinear time-varying channel and demonstrate that it can implement the Bayesian equalizer for such a channel, has a simple structure, and provides fast inference. A clustering method is used to adaptively design the parameters of the FAF. Two structures are used for the equalizer: transversal equalizer (TE) and decision feedback equalizer (DFE). A decision tree structure is used to implement the decision feedback equalizer, in which each leaf of the tree is a type-2 FAF. This DFE vastly reduces computational complexity as compared to a TE. Simulation results show that equalizers based on type-2 FAFs perform much better than nearest neighbor classifiers (NNC) or equalizers based on type-1 FAFs     

一种非线性滤波方法用于卫星的姿态估计

由于用于卫星姿态估计的传统非线性滤波方法,即扩展卡尔曼滤波(EKF)方法不仅容易引入线性化误差,而且必须计算系统函数的Jacobi矩阵,而Unscented卡尔曼滤波(UKF)是一种比较新的非线性滤波方法,能够克服EKF的上述缺点。该方法不仅能提高滤波精度,而且更容易实现。因此,利用UKF方法,基于修正的罗德里格参数(MRPs),设计了一种无陀螺卫星的姿态估计算法,并通过仿真验证了算法的有效性。