Identification of nonminimum phase FIR systems via fourth-order cumulants and genetic algorithm

In this paper, the problem of estimating the parameters of an FIR system from only the fourth-order cumulants of the noisy system output is considered. The FIR system is driven by a symmetric, independent, and identically distributed (i.i.d) non-Gaussian sequence. We propose a new formula called Weighted Overdetermined C(q, k) (WOC(q, k)) by extending the conventional C(q, k) formula. The optimal selection of the weights in WOC(q, k) is performed by using the Genetic Algorithm (GA) optimization method which minimizes a nonlinear error function based on the fourth-order cumulants alone. Simulations are provided to reveal the effectiveness and the superiority of this novel technique over the C(q, k) and other existing techniques.     

基于峰度的盲自适应多用户检测

基于四阶累积量，分析一种新的优化准则，即定向小峰度（OMK：Oriented Minimum Kurtosis）准则，理论分析表明，该准则函数具有全局最小值且极值点满足解相关条件。由此，通过求解该优化问题，能得到一种新的盲多用户接收方案，然后，利用最速下降法，给出盲多用户检测的自适应算法，仿真结果进一步验证了本文的结论。     

基于近场聚焦波束形成方法的声场定位研究

海洋环境中的声场定位,是水声学研究领域中的一个经典问题,尤其是用于海区警戒来监听敌方潜艇的近场定位问题.以往的近场定位研究,通常使用线列阵模型,利用常规聚焦波束形成方法进行定位处理,不仅出现了“左右舷模糊”问题,而且对信号定位不甚理想.为此提出基于半圆阵的四阶累积量MUSIC近场聚焦波束形成算法.通过仿真比较了多种聚焦波束形成在近场线列阵和圆阵条件下的定位性能,结果表明,半圆阵成功地解决了直线阵列出现的“左右舷模糊”问题,基于四阶累积量的MUSIC近场聚焦波束形成可以达到更为平滑的背景以及较小的旁瓣级,定位性能明显优于基于MVDR算法的聚焦波束形成高分辨率被动定位方法.     

一种改进型蔡氏电路混沌同步的仿真研究

介绍了一种改进的四阶蔡氏电路.首先采用理论分析的方法建立了电路的数学模型,然后分别采用数值和模拟两种方法对改进后的电路进行了仿真,得到了混沌现象,最后采用响应-驱动法实现了改进型电路的混沌同步.结果表明:改进型蔡氏电路产生了较原蔡氏电路更为复杂的混沌现象,更适合用于混沌通讯.     

Fourth-order accurate BLAGE iterative method for the solution of two-dimensional elliptic equations in polar co-ordinates

In this article, we report on the block alternating group explicit (BLAGE) iterative method for solving the block symmetric linear system derived from the fourth-order accurate nine-point discretisation of a two-dimensional elliptic equation in cylindrical polar co-ordinates. The error analysis of the BLAGE method is discussed briefly. The performance of this more accurate BLAGE method is compared with the corresponding block successive over relaxation (BSOR) method by considering two test problems, wherein the significance of the role played by two parameters ω₁ and ω₂ of the BLAGE method becomes evident in providing both convergence and accuracy of the computed solution.     

高阶累积量计算优化的仿真研究

高阶累积量由于计算量大而未得到广泛的应用,所以对其进行计算优化以及算法的简化能更好的发挥其优越性,根据推导的非平稳随机过程四阶累积量精确递推估计公式,从减少四阶累积量估计的计算量,增强四阶累积量的工程实用性出发,给出了四阶累积量近似递推估计定理.只要四阶累积鼍的更新因子满足定理的条件,就能减少计算量,并且使估计的四阶累积量保持抑制高斯噪声的性能,并且根据四阶累积量的优化给出了五阶累计量的优化和仿真.从时域和频域进行了优化仿真,仿真结果证实了估计的有效性.     

A sparse direction-of-arrival estimation algorithm for MIMO radar in the presence of gain-phase errors

In this paper, the problem of direction-of-arrival (DOA) estimation for monostatic multiple-input multiple-output (MIMO) radar with gain-phase errors is addressed, by using a sparse DOA estimation algorithm with fourth-order cumulants (FOC) based error matrix estimation. Useful cumulants are designed and extracted to estimate the gain and the phase errors in the transmit array and the receive array, thus a reliable error matrix is obtained. Then the proposed algorithm reduces the gain-phase error matrix to a low dimensional one. Finally, with the updated gain-phase error matrix, the FOC-based reweighted sparse representation framework is introduced to achieve accurate DOA estimation. Thanks to the fourth-order cumulants based gain-phase error matrix estimation, and the reweighted sparse representation framework, the proposed algorithm performs well for both white and colored Gaussian noises, and provides higher angular resolution and better angle estimation performance than reduced-dimension MUSIC (RD-MUSIC), adaptive sparse representation (adaptive-SR) and ESPRIT-based algorithms. Simulation results verify the effectiveness and advantages of the proposed method.     

Orthogonal spline collocation method for the fourth-order diffusion system

The fourth-order diffusion systems depict the wave and photon propagation in intense laser beams and play an important role in the phase separation in binary mixture. In this paper, by using orthogonal spline collocation (OSC) method in spatial direction and classical L1 approximation in temporal direction, a fully discrete scheme is established for a class of fourth-order fractional reaction–diffusion equations. For the original unknown $u$ and auxiliary variable $v=\Delta u$, the full-discrete unconditional stabilities based on a priori analysis are derived by virtue of properties of OSC. Moreover, the convergence rates in $L^2$-norm for unknown $u$ are strictly investigated. At the same time, the optimal error estimates in $H^1$-norm for unknown $u$ and in $L^2$-norm for variable $v$, are also derived, respectively. For further verifying the theoretical analysis, some numerical examples are provided.     

用于彩色图像复原的带有高阶耦合项的TV模型

提出了一种改进的TV(Total Variance)彩色图像复原方法。为消除TV模型的各向异性扩散导致的块效应,采用在TV模型的基础上耦合高阶项的新模型;并将这个新的模型推广到彩色图像,利用多通道的耦合机制实现各单色通道图像复原过程的相互制约。新模型保持了各向异性扩散的特性,图像的边缘得到了保持。实验结果证明, 与其它模型的复原 彩色图像相比,新模型复原的图像的峰值信噪比(PSNR)有了更大的提高,图像的非边缘区看上去更加平滑自然。     

低信噪比下的直扩信号检测和多参数估计方法

直扩信号具有较低的功率谱密度,淹没在背景噪声中,信号侦察难度大.根据四阶矩一维切片可以有效地抑制高斯白噪声和充分包含直扩信号的载波、伪码信息这一特性,提出了一种基于四阶矩一维切片的直扩信号检测和多参数估计方法.该方法不需要任何先验信息,不仅能够检测直扩信号,还能同时估计载波频率、伪码周期和伪码速率等参数.仿真结果表明,这种方法可以在低信噪比下工作,具有一定的实用价值.