超指数判决反馈水声信道盲均衡算法实验研究

利用超指数算法收敛速度快的优点,对判决反馈盲均衡算法的前向权向量的迭代式进行了修正,提出了一种新的判决反馈盲均衡算法。该算法具有收敛速度快,跟踪性能好等特点。通过水池实验,获得了符合盲均衡算法统计特性的BPSK数据,对所提出的算法与自适应判决反馈均衡算法,常数模盲均衡算法等进行了对比分析。结果表明,该算法可以有效的降低误码率,且收敛速度要优于其他算法,可靠实现了对多途水声信道的均衡。     

多块网格中的块隐式方法

本文实现了逐点扫描的块隐式算法，并根据其特点，提出了一种基于该算法的多块网格方法．通过对几个具有基准解问题的数值计算发现：该算法相对于ＳＩＭＰＬＥ算法而言，其收敛速度较快；本文所提出的多块网格方法是可行的．     

基于LMS/SOLMS算法的时变多径水声信道估计方法

缓变信道下基于LMS算法的信道估计算法具有较好的跟踪性能,但对快变信道,LMS算法跟踪性能下降。SOLMS算法具有比LMS算法更好的跟踪性能,尤其是在快变的信道下。但由于SOLMS算法在收敛阶段的振荡性,这时收敛速度较LMS算法慢。本文提出一种收敛模式下用LMS算法获得信道的参数,收敛后则切换成SOLMS算法跟踪信道的变化的信道估计方法。新方法结合了LMS算法收敛快和SOLMS算法跟踪性能好的优点。对时变多径水声信道估计的计算机仿真实验证明了该方法的有效性。     

应用于声反馈抑制的变步长归一化子带自适应滤波算法*

针对自适应滤波算法中稳态失调量和收敛速度之间的矛盾,提出了一种新的变步长归一化子带自适应滤波算法。该算法在系统噪声抵消原理的基础上,用迭代收缩的方法估计得到无噪先验子带误差的功率,对每个子带步长进行更新。对所提出的算法进行数学分析,可以得出该算法是稳定的和收敛的。在长回声路径和短回声路径两种情况下,将该算法应用于助听器声反馈抑制系统中。相对于其他归一化子带自适应滤波算法,仿真实验表明,所提算法实现了更快的收敛速度,获得了更低的失调量。     

多群辐射扩散方程组的分裂迭代算法收敛分析

分析了多群辐射扩散方程组的分裂迭代算法的收敛速度,证明其收敛特性,给出迭代矩阵谱半径的解析公式.对谱半径进行数值计算与分析,揭示算法的收敛速度与辐射系数之间的依赖关系,数值算例验证了理论结果,给出了该算法的适用条件.     

一种快速收敛的符号回归常数模盲均衡算法

为了加快符号回归常数模算法(SRCMA)的收敛速度,本文提出了一种适合于BPSK信号 的快速算法。该算法用新的误差函数替代SRCMA中的误差函数,新误差函数针对BPSK信号而 设计。新算法采用分数间隔均衡模型,有效地加快了SRCMA算法的收敛速度。水声信道仿真实验 表明,该算法性能稳定,收敛速度快,适用于快速变化信道的盲均衡和水声通信数据的实时恢复。     

基于量子遗传算法的认知无线电决策引擎研究

提出了基于量子遗传算法的认知无线电决策引擎，设计了待优化的多目标函数，利用量子遗传算法调整优化无线电参数，运用多载波系统对算法性能进行了仿真分析.实验结果表明该方法在收敛速度、收敛精度和算法稳定性上都明显优于经典遗传算法，在种群规模较小时仍然能获得很好性能，适合于实际实现.不同权重设置模式下仿真结果表明该方法能够在多个目标函数间进行权衡，参数调整结果与当前对目标函数的偏好一致.     

一种快速收敛的水声信道载波恢复盲均衡算法

基于对修正的常数模算法(MCMA)进行分析,提出了一种用于QPSK(四进制相移键控)信号的快速载波恢复盲均衡算法。该算法中构造了一种与MCMA算法不同的、能够快速收敛的误差函数,在消除码间干扰(ISI)、纠正相位误差的同时,进一步改善了收敛性能。该算法对输出信号的实部和虚部分别进行非线性变换。最后利用实测的水声信道数据,对这几种算法进行了数值分析研究,结果表明:所提出的算法不仅能够很好地克服相位旋转,而且其收敛速度明显高于MCMA,剩余均方误差更小,而计算量并没有明显的增加。     

基于话者状态检测的自适应语音分离方法的研究

提出了一种基于话者状态检测的语音分离算法。该算法对话者状态进行自动检测,并根据相应的状态对自适应滤波过程加以控制,以此对各路的声场传递函数进行估计,进而使混合的语音信号得到分离。仿真实验结果表明:与传统的输出信号互为参考的信号的分离算法相比,该算法克服了参考信号不纯导致自适应语音分离结果恶化的缺陷;该算法不需要人为地降低自适应滤波器的收敛速度,所以具有较快的收敛和跟踪性能;此外,该算法还具有运算量较小,实时性好等特点。     

一种新的适用于水声信道的常模类盲均衡算法

为了缓解常数模盲均衡算法收敛速度缓慢、稳态误差大的问题,考虑到初始化权值对CMA算法的重要影响,本文利用遗传算法对CMA算法进行了有效改进,引入了小样本重用的思想,给出了一种新的适用于水声信道的常模类盲均衡算法。计算机仿真研究证明,该算法不仅大大加快了收敛速度,而且有效地降低了稳态误差。     

Interactions of an elastic solid with a viscous fluid: Eigenmode analysis

In this paper we study the interaction of a viscous fluid with an elastic solid. Of particular interest are the eigenmodes of the coupled system. Starting from the Navier-Stokes equations for the fluid and the linear elasticity equations for the solid, we derive the linear equations governing the motion of the system. It is shown how a variational formulation of the problem may be obtained by re-scaling the displacement unknowns. The finite-element technique is then used to discretize the equations. The resulting quadratic eigenvalue problem is solved by means of an inverse iteration procedure.     

On the investigation of nonlinear waves of the Hirota and the Maxwell–Bloch equation in nonlinear optics

In this paper, considering the Hirota and Maxwell-Bloch (H-MB) equations which is governed by femtosecond pulse propagation through two-level doped fibre system, we construct the Darboux transformation of this system through linear eigenvalue problem. Using this Daurboux transformation, we generate multi-soliton, positon, and breather solutions (both bright and dark breathers) of the H-MB equations. Finally, we also construct the rogue wave solutions of the above system.     

Differential homomorphisms of linear homogeneous systems of differential equations

Linear differential operators with complex-valued infinitely differentiable coefficients, linear homogeneous systems of differential equations, and modules over algebras of scalar linear differential operators are considered. Linear differential changes of variables and homomorphisms of special quotient modules (differential homomorphisms) generated by these changes are studied. In terms of differential homomorphisms, relationships between Maxwell equations and equations of electromagnetic potential and between Dirac equations and the Klein-Gordon system of independent equations are described. It is proved that all ordinary nondegenerate linear homogeneous differential equations of some common order and the homogeneous normal systems of the same common order are differentially isomorphic.     

Electromagnetic wave scattering by many small particles

Scattering of electromagnetic waves by many small particles of arbitrary shapes is reduced rigorously to solving linear algebraic system of equations bypassing the usual usage of integral equations. The matrix elements of this linear algebraic system have physical meaning. They are expressed in terms of the electric and magnetic polarizability tensors. Analytical formulas are given for calculation of these tensors with any desired accuracy for homogeneous bodies of arbitrary shapes. An idea to create a “smart” material by embedding many small particles in a given region is formulated.     

On the definition of the natural frequency of oscillations in nonlinear large rotation problems

Computational multibody system algorithms allow for performing eigenvalue analysis at different time points during the simulation to study the system stability. The nonlinear equations of motion are linearized at these time points, and the resulting linear equations are used to determine the eigenvalues and eigenvectors of the system. In the case of linear systems, the system eigenvalues remain the same under a constant coordinate transformation; and zero eigenvalues are always associated with rigid body modes, while nonzero eigenvalues are associated with non-rigid body motion. These results, however, cannot in general be applied to nonlinear multibody systems as demonstrated in this paper. Different sets of large rotation parameters lead to different forms of the nonlinear and linearized equations of motion, making it necessary to have a correct interpretation of the obtained eigenvalue solution. As shown in this investigation, the frequencies associated with different sets of orientation parameters can differ significantly, and rigid body motion can be associated with non-zero oscillation frequencies, depending on the coordinates used. In order to demonstrate this fact, the multibody system motion equations associated with the system degrees of freedom are presented and linearized. The resulting linear equations are used to define an eigevalue problem using the state space representation in order to account for general damping that characterizes multibody system applications. In order to demonstrate the significant differences between the eigenvalue solutions associated with two different sets of orientation parameters, a simple rotating disk example is considered in this study. The equations of motion of this simple example are formulated using Euler angles, Euler parameters and Rodriguez parameters. The results presented in this study demonstrate that the frequencies obtained using computational multibody system algorithms should not in general be interpreted as the system natural frequencies, but as the frequencies of the oscillations of the coordinates used to describe the motion of the system.     

Nonlinear waves of the Hirota and the Maxwell Bloch equations in nonlinear optics

In this paper, considering the Hirota and the Maxwell-Bloch (H-MB) equations which are governed by femtosecond pulse propagation through a two-level doped fiber system, we construct the Darboux transformation of this system through a linear eigenvalue problem. Using this Daurboux transformation, we generate multi-soliton, positon, and breather solutions (both bright and dark breathers) of the H-MB equations. Finally, we also construct the rogue wave solutions of the above system.     

An Approximate Approach for Systems of Singular Volterra Integral Equations Based on Taylor Expansion

In this article, an extended Taylor expansion method is proposed to estimate the solution of linear singular Volterra integral equations systems. The method is based on combining the m-th order Taylor polynomial of unknown functions at an arbitrary point and integration method, such that the given system of singular integral equations is converted into a system of linear equations with respect to unknown functions and their derivatives. The required solutions are obtained by solving the resulting linear system. The proposed method gives a very satisfactory solution, which can be performed by any symbolic mathematical packages such as Maple, Mathematica, etc. Our proposed approach provides a significant advantage that the m-th order approximate solutions are equal to exact solutions if the exact solutions are polynomial functions of degree less than or equal to m. We present an error analysis for the proposed method to emphasize its reliability. Six numerical examples are provided to show the accuracy and the efficiency of the suggested scheme for which the exact solutions are known in advance.     

An Approximate Approach for Systems of Singular Volterra Integral Equations Based on Taylor Expansion

In this article, an extended Taylor expansion method is proposed to estimate the solution of linear singular Volterra integral equations systems. The method is based on combining the m-th order Taylor polynomial of unknown functions at an arbitrary point and integration method, such that the given system of singular integral equations is converted into a system of linear equations with respect to unknown functions and their derivatives. The required solutions are obtained by solving the resulting linear system. The proposed method gives a very satisfactory solution,which can be performed by any symbolic mathematical packages such as Maple, Mathematica, etc. Our proposed approach provides a significant advantage that the m-th order approximate solutions are equal to exact solutions if the exact solutions are polynomial functions of degree less than or equal to m. We present an error analysis for the proposed method to emphasize its reliability. Six numerical examples are provided to show the accuracy and the efficiency of the suggested scheme for which the exact solutions are known in advance.     

Occurrence of stable periodic modes in a pendulum with cubic damping

Dynamical systems with nonlinear damping show interesting behavior in the periodic and chaotic phases. The Froude pendulum with cubical and linear damping is a paradigm for such a system. In this work the driven Froude pendulum is studied by the harmonic balancing method; the resulting nonlinear response curves are studied further for resonance and stability of symmetric oscillations with relatively low damping. The stability analysis is carried out by transforming the system of equations to the linear Mathieu equation.     

On the Riemann�CHilbert�CBirkhoff Inverse Monodromy Problem Associated with the Third Painlev�� Equation

A linear system of ordinary differential equations corresponding by the isomonodromy deformation method to the third Painlevé equation is considered. The surjectivity of the monodromy map generated by this system is proven using the Riemann?CHilbert factorization method.