一种块处理模式数字滤波器的DSP实现

 对称FIR(有限冲激响应)滤波器的严格的线性相位特性和系统稳定性在数据传输、图像处理等领域得到了广泛的应用。基于单点处理模式的传统数字滤波器能实时处理点信号,但在处理图像、语音等帧信号时,速度较慢,实时性不强。针对这个问题提出了块处理模式的解决方案。通过分析FIR滤波器的原理,设计出基于块处理模式的对称FIR滤波器,并在TMS320C5510芯片中实现。介绍了基于双指针循环寻址的滤波算法,并给出了相应的主要程序。计算机试验仿真表明块处理模式方案提高了帧信号的处理速度,滤波性能良好。     

Computer simulation of Fraunhofer diffraction based on MATLAB

In this paper, we describe a novel computer simulation technique of generating Fraunhofer diffraction images from different patterns. The simulation can be performed in almost any PC using the software MATLAB. The patterns of five types of elements, including one slit, one rectangular aperture, two rectangular apertures, the grating and one circular aperture are discussed and simulated. Diffractions images can be generated for any wavelength of light and for any program are presented. Finally, the Fraunhofer diffraction optical intensity distribution is analyzed. Simulation results can improve the physics experimental teaching of Fraunhofer diffraction. The programs based on MATLAB have been used as the platform to real-time calculation and simulation and solve the optical problem.     

Computing matrix symmetrizers,finally possible via the Huang and Nong algorithm

By a theorem of Frobenius (F.G. Frobenius, Über die mit einer Matrix vertauschbaren Matrizen, Sitzungsberichte der Königlich Preußischen Akademie der Wissenschaften zu Berlin (1910), pp. 3–15 (also in Gesammelte Abhandlungen, Band 3, Springer 1968. pp. 415–427)), every matrix A _n,n over any field 𝔽 is the product of two symmetric ones. Using the algorithm of Huang and Nong (J. Huang and L. Nong, An iterative algorithm for solving finite-dimensional linear operator equations T(x)?=?f with applications, Linear Algebra Appl. 432 (2010), pp. 1176–1188) for linear systems, we develop an algorithm to compute a symmetric matrix S?=?S ^T ?∈?𝔽 ^n,n for which SA is symmetric for any given square matrix A?∈?𝔽 ^n,n where 𝔽?=?? or ?. The algorithm is implemented and tested in MATLAB.     

Different Zhang functions leading to different Zhang-dynamics models illustrated via time-varying reciprocal solving

Along with neural dynamics (based on analog solvers) widely arising in scientific computation and optimization fields in recent decades which attracts extensive interest and investigation of researchers, a novel type of neural dynamics, called Zhang dynamics (ZD), has been formally proposed by Zhang et al. for the online solution of time-varying problems. By following Zhang et al.’s neural-dynamics design method, the ZD model, which is based on an indefinite Zhang function (ZF), can guarantee the exponential convergence performance for the online time-varying problems solving. In this paper, different indefinite Zhang functions, which can lead to different ZD models, are proposed and developed as the error-monitoring functions for the time-varying reciprocal problem solving. Additionally, for the goal of developing the floating-point processors or coprocessors for the future generation of computers, the MATLAB Simulink modeling and simulative verifications of such different ZD models are further presented for online time-varying reciprocal solving. The modeling results substantiate the efficacy of such different ZD models for time-varying reciprocal solving.     

一维光子晶体的反射率特性

基于平面波展开法,设计九层一维光子晶体结构,通过改变结构中介质层的厚度,运用MATLAB编程计算一维光子晶体反射率特性,厚度差值变小时,不存在反射波的区域将增加变大。研究结果为一维光子晶体器件的设计提供理论参考。     

基于MATLAB的RC串联电路暂态过程仿真

对RC串联电路暂态过程进行了研究,并对其进行了理论分析,最后利用MATLAB的绘图功能,对实验现象进行了仿真,仿真结果与实验相符.     

Speeding up the MATLAB complex networks package using graphic processors

The availability of computers and communication networks allows us to gather and analyse data on a far larger scale than previously. At present, it is believed that statistics is a suitable method to analyse networks with millions, or more, of vertices. The MATLAB language, with its mass of statistical functions, is a good choice to rapidly realize an algorithm prototype of complex networks. The performance of the MATLAB codes can be further improved by using graphic processor units (GPU). This paper presents the strategies and performance of the GPU implementation of a complex networks package, and the Jacket toolbox of MATLAB is used. Compared with some commercially available CPU implementations, GPU can achieve a speedup of, on average, 11.3×. The experimental result proves that the GPU platform combined with the MATLAB language is a good combination for complex network research.     

新型波导多层光存储信息读出光学系统设计

信息读出光学系统是波导多层存储方法的重要组成部分,从几何光学角度,提出了两种信息读出光学系统的理论设计,并对两种系统的特点进行了实验研究,结果表明两种光学系统都是可行的,而且对波导多层光存储的进一步研究及实用化都有一定的参考价值。     

基于MATLAB的黑体辐射量计算

介绍了黑体辐射理论,利用MATLAB求解了普朗克黑体辐射公式在有界域λ1～λ2内的积分,通过实例对梯形法和辛普森法两种数值积分方法进行了分析和比较。并在此基础上对距黑体一定距离处探测器表面的辐照度值E进行了研究。通过分析可知,利用梯形法和辛普森法能够方便求出黑体在有界域内的辐出度值。此外,利用MATLAB编制的相应的计算界面,能够实现辐出度和辐照度的快速计算。     

地下工程爆破振动信号能量分布特征的小波包分析

根据爆破振动信号具有短时非平稳的特点 ,利用小波包分析技术对地下工程爆破振动信号的能量分布特征进行了研究。首先 ,简略介绍了小波变换与小波包分析的特点 ;其次 ,基于MATLAB(MaterialsLab oratory)对段药量和爆源距离等不同条件下记录的 8条爆破振动信号进行小波包分析 ,得到了爆破振动信号在不同频带上的能量分布图 ;最后 ,分析了爆破振动信号能量的分布特征。本分析手段为研究地下工程爆破地震效应特别是振动速度 频率相关安全准则提供了一种有效的分析技术。