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FIR数字带通滤波器实验设计
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作者 姜恩华 窦德召 +1 位作者 许学杰 周正 《商丘师范学院学报》 2025年第9期26-29,共4页
借助Matlab软件提供的FIR滤波器设计函数或FDATool软件,实现FIR带通滤波器设计,求得单位脉冲响应h(n).把h(n)代入Matlab函数tf2sos,求得FIR级联型网络结构的系数矩阵SOS和增益G.通过计算h(n)和输入序列x(n)的线性卷积,求得FIR滤波器的输... 借助Matlab软件提供的FIR滤波器设计函数或FDATool软件,实现FIR带通滤波器设计,求得单位脉冲响应h(n).把h(n)代入Matlab函数tf2sos,求得FIR级联型网络结构的系数矩阵SOS和增益G.通过计算h(n)和输入序列x(n)的线性卷积,求得FIR滤波器的输出y(n),提出了实现FIR数字滤波的线性卷积计算方法.根据FIR带通滤波器的边界截止频率,设计了输入序列x(n).借助CCS 5.5软件,采用C语言编程,设计了FIR直接型网络结构和FIR级联型网络结构的滤波程序,实现对输入序列x(n)滤波.实验结果表明,采用Matlab和CCS 5.5软件,能够很好地完成FIR数字带通滤波器实验设计. 展开更多
关键词 MATLAB软件 FDATool软件 CCS 5.5软件 fir带通滤波器
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Influence of Various Materials on Biomechanical Behavior of Endocrown-Restored, Endodontically-Treated Mandibular First Molar: A 3D-Finite Element Analysis 被引量:10
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作者 陈彬文 马彦昭 +5 位作者 WU Kunxue CHEN Hong LI Lu LIANG Liang LIU Jun 陈智 《Journal of Wuhan University of Technology(Materials Science)》 SCIE EI CAS 2015年第3期643-648,共6页
To evaluate the effect of restorative materials on stress distribution of endodontically treated teeth, the 3D models of an endodontically treated mand^ular first molar, restoration, and cement layer were created. Thr... To evaluate the effect of restorative materials on stress distribution of endodontically treated teeth, the 3D models of an endodontically treated mand^ular first molar, restoration, and cement layer were created. Three different materials (composite resin, ceramage and ceramic) were studied and two loading conditions (vertical and oblique load) were simulated. Mohr-Coulomb failure criterion of enamel, dentine, endocrown and cement were evaluated separately. It is indicated that under both loading conditions, the highest values of Mohr-Coulomb failure criterion were observed in Ceramage-restored group for remaining tooth structure while in ceramic-restored group for the restoration. Compared to composite resin and Ceramage, ceramic endocrown transferred less stress, namely was more protective to the tooth structure. 展开更多
关键词 endocrown endodontically-treated teeth restorative material finite element analysis
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基于加权最小二乘的稀疏FIR滤波器设计方法 被引量:2
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作者 庄陵 宋诗苇 刘莹 《华南理工大学学报(自然科学版)》 北大核心 2025年第1期84-91,共8页
大规模通信系统的发展对传统滤波器设计提出了更高的要求,稀疏有限脉冲响应(FIR)滤波器具有低计算复杂度与低实现成本的特点,但常规凸松弛近似设计方法会产生额外的逼近误差,稀疏性也不理想,并且求解过程复杂。针对FIR滤波器在设计中由... 大规模通信系统的发展对传统滤波器设计提出了更高的要求,稀疏有限脉冲响应(FIR)滤波器具有低计算复杂度与低实现成本的特点,但常规凸松弛近似设计方法会产生额外的逼近误差,稀疏性也不理想,并且求解过程复杂。针对FIR滤波器在设计中由于乘法器个数多而导致实现成本高的问题,该文提出了一种基于加权最小二乘准则的稀疏FIR滤波器设计方法。首先,根据不同范数性质对初始稀疏表示的L0范数进行替换,即对目标函数进行改进,从而在保持稀疏性的基础上,解决非凸函数难以直接求解的问题;然后,将目标问题转化为2个凸子问题差的形式,根据迭代规则构造形式更为简单的子问题,采用交替求解方法求解子问题,以进一步提高求解效率并降低求解复杂度;最后,在确定0系数的位置后,通过求解一个加权最小二乘问题来进一步减小近似误差。仿真实验结果显示:与已有的稀疏滤波器求解方法相比,所提方法能够提高FIR滤波器的系数稀疏性,降低乘法器个数,并且在稀疏性增强的情况下获得较为折中的均方根误差与最大误差,同时计算机求解时间更少,求解效率更高。 展开更多
关键词 滤波器 设计方法 有限脉冲响应 加权最小二乘
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Firmness evaluation of melon using its vibration characteristic and finite element analysis 被引量:13
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作者 NOURAIN Jamal 应义斌 +2 位作者 王剑平 饶秀勤 余朝刚 《Journal of Zhejiang University-Science B(Biomedicine & Biotechnology)》 SCIE EI CAS CSCD 2005年第6期483-490,共8页
The “Huang gua” melons were measured for their physical properties including firmness and static elastic modulus. The vibrational characteristics of fruits and vegetables are governed by their elastic modulus (firmn... The “Huang gua” melons were measured for their physical properties including firmness and static elastic modulus. The vibrational characteristics of fruits and vegetables are governed by their elastic modulus (firmness), mass, and geometry. Therefore, it is possible to evaluate firmness of fruits and vegetables based on their vibrational characteristics. Analysis of the vibration responses of a fruit is suggested for measuring elastic properties (Firmness) non-destructively. The impulse response method is often used to measure firmness of fruits. The fruit was excited using three types of balls (wooden, steel and rubber) and the vibration is detected by an accelerometer. The Instron device was used to measure the static elastic modulus of the inner, middle and outer portions of melon flesh. Finite element (FE) technique was used to determine the optimum excitation location of the chosen measurement sensor and to analyze the mode shape fruits. Four types of mode shapes (torsional or flexural mode shape, first-type, second-type spherical mode and breathing mode shape) were found. Finite element simulation results agreed well with experimental results. Correlation between the firmness and resonant frequency (r2=0.91) and between the resonant frequency and stiffness factor (r2=0.74) existed. The optimum location and suitable direction for excitation and response measurement on the fruit were suggested. 展开更多
关键词 MELON SENSING finite element Experimental modal analysis firMNESS
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Stochastic evolutionary public goods game with first and second order costly punishments in finite populations 被引量:2
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作者 Ji Quan Yu-Qing Chu +2 位作者 Wei Liu Xian-Jia Wang Xiu-Kang Yang 《Chinese Physics B》 SCIE EI CAS CSCD 2018年第6期119-126,共8页
We study the stochastic evolutionary public goods game with punishment in a finite size population. Two kinds of costly punishments are considered, i.e., first-order punishment in which only the defectors are punished... We study the stochastic evolutionary public goods game with punishment in a finite size population. Two kinds of costly punishments are considered, i.e., first-order punishment in which only the defectors are punished, and second-order punishment in which both the defectors and the cooperators who do not punish the defective behaviors are punished. We focus on the stochastic stable equilibrium of the system. In the population, the evolutionary process of strategies is described as a finite state Markov process. The evolutionary equilibrium of the system and its stochastic stability are analyzed by the limit distribution of the Markov process. By numerical experiments, our findings are as follows.(i) The first-order costly punishment can change the evolutionary dynamics and equilibrium of the public goods game, and it can promote cooperation only when both the intensity of punishment and the return on investment parameters are large enough.(ii)Under the first-order punishment, the further imposition of the second-order punishment cannot change the evolutionary dynamics of the system dramatically, but can only change the probability of the system to select the equilibrium points in the "C+P" states, which refer to the co-existence states of cooperation and punishment. The second-order punishment has limited roles in promoting cooperation, except for some critical combinations of parameters.(iii) When the system chooses"C+P" states with probability one, the increase of the punishment probability under second-order punishment will further increase the proportion of the "P" strategy in the "C+P" states. 展开更多
关键词 public goods games stochastic stable equilibrium PUNISHMENT finite population
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Design and Implementation of Low-Pass, High-Pass and Band-Pass Finite Impulse Response (FIR) Filters Using FPGA 被引量:1
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作者 Emmanuel S. Kolawole Warsame H. Ali +3 位作者 Penrose Cofie John Fuller C. Tolliver Pamela Obiomon 《Circuits and Systems》 2015年第2期30-48,共19页
This paper presents the design and implementation of a low-pass, high-pass and a hand-pass Finite Impulse Response (FIR) Filter using SPARTAN-6 Field Programmable Gate Array (FPGA) device. The filter performance is te... This paper presents the design and implementation of a low-pass, high-pass and a hand-pass Finite Impulse Response (FIR) Filter using SPARTAN-6 Field Programmable Gate Array (FPGA) device. The filter performance is tested using Filter Design and Analysis (FDA) and FIR tools from Mathworks. The FDA Tool is used to define the filter order and coefficients, and the FIR tool is used for Simulink simulation. The FPGA implementation is carried out using Spartan-6 LX75T-3FGG676C for different filter specifications and simulated with the help of Xilinx ISE (Integrated Software Environment). System Generator ISE design suit 14.6i is used in synthesizing and co-simulation for FPGA filter output verification. Finally, comparison is done between the results obtained from the software simulations and those from FPGA using hardware co-simulation. The simulation waveforms and synthesis reports verify the parallel implementation of FPGA which proves its effectiveness in terms of speed, resource usage and power consumption. 展开更多
关键词 Digital FILTERS fir Filter Matlab Simulink FDA TOOL fir TOOL Distributed Arithmetic FPGA Xilinx System Generator
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基于改进的迭代重加权OMP的稀疏FIR滤波器设计 被引量:1
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作者 李怡 赵加祥 《电子信息对抗技术》 2025年第1期73-78,共6页
有限脉冲响应(Finite Impulse Response, FIR)滤波器具备线性相位和稳定性的优点,在雷达信号处理、图像处理、电子对抗等领域被广泛应用。然而高性能的FIR滤波器通常需要较高的阶数,导致硬件实现成本高、系统功耗大。针对该问题,提出了... 有限脉冲响应(Finite Impulse Response, FIR)滤波器具备线性相位和稳定性的优点,在雷达信号处理、图像处理、电子对抗等领域被广泛应用。然而高性能的FIR滤波器通常需要较高的阶数,导致硬件实现成本高、系统功耗大。针对该问题,提出了一种改进的迭代重加权正交匹配追踪算法,设计稀疏的线性相位FIR滤波器。该算法采用Frobenius范数简化在每次迭代中求解目标稀疏FIR滤波器的过程,并且引入一个对数函数迭代更新权重。仿真结果表明,在某些情况下所提算法设计的滤波器比已有的稀疏滤波器设计方法具有更短的有效滤波器长度和更少的滤波器非零抽头个数,避免了硬件实现时乘法器和加法器的大量使用,从而有效地降低了实现成本和系统功耗。 展开更多
关键词 稀疏fir滤波器 线性相位 正交匹配追踪 FROBENIUS范数
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基于MATLAB的FIR数字滤波器设计分析 被引量:2
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作者 贺雪莉 《铁路计算机应用》 2025年第3期75-81,共7页
文章主要研究基于MATLAB实现有限长单位脉冲响应(FIR,Finite Impulse Response)数字滤波器的设计方法,分别从时域和频域两方面对窗函数法和频域采样法进行详细描述,并通过类比两种设计方法的仿真结果,总结其优缺点,可为实际滤波器设计... 文章主要研究基于MATLAB实现有限长单位脉冲响应(FIR,Finite Impulse Response)数字滤波器的设计方法,分别从时域和频域两方面对窗函数法和频域采样法进行详细描述,并通过类比两种设计方法的仿真结果,总结其优缺点,可为实际滤波器设计方法的选择提供理论支撑。 展开更多
关键词 有限长单位脉冲响应(fir) 数字滤波器 MATLAB 窗函数法 频域采样法
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一种基于帧结构的并行FIR数字滤波的FPGA实现 被引量:2
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作者 胡春江 刘宪军 +2 位作者 张丁丁 李炎桦 黎伟 《自动化应用》 2025年第6期236-239,共4页
针对FPGA内直接型FIR滤波架构数据吞吐速率慢、数据带宽受限,传统并行FIR滤波架构实现逻辑复杂、硬件资源消耗大的问题,提出了一种基于帧结构的并行FIR数字滤波架构。通过从流水输入的数据中提取滑动帧进行滑动滤波,并根据帧结构对滑动... 针对FPGA内直接型FIR滤波架构数据吞吐速率慢、数据带宽受限,传统并行FIR滤波架构实现逻辑复杂、硬件资源消耗大的问题,提出了一种基于帧结构的并行FIR数字滤波架构。通过从流水输入的数据中提取滑动帧进行滑动滤波,并根据帧结构对滑动滤波输出进行拼接、截取,所提滤波架构可以获得与传统并行FIR滤波架构几乎相同的频域响应。而相较于传统并行架构,所提架构消耗的系统资源更少,工程上更易实现。基于MATLAB和ISE的仿真实验结果证明了所提滤波架构的有效性。 展开更多
关键词 fir数字滤波 FPGA 并行架构
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基于最优FIR滤波器的小电流接地故障选线技术 被引量:3
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作者 王喆 《粘接》 2025年第3期150-153,共4页
由于小电流接地系统的故障信号特征不明显,容易被其他干扰信号掩盖,导致故障选线不准确。为提升小电流接地故障定位准确度,提出基于最优FIR滤波器的小电流接地故障选线技术。通过分析小电流接地故障的暂态特征,获取电流接地故障原因。采... 由于小电流接地系统的故障信号特征不明显,容易被其他干扰信号掩盖,导致故障选线不准确。为提升小电流接地故障定位准确度,提出基于最优FIR滤波器的小电流接地故障选线技术。通过分析小电流接地故障的暂态特征,获取电流接地故障原因。采用EMD分解方法对小电流接地系统各相电路实施零序电流分解,以高频分量为目标设计最优FIR滤波器。根据建立的最优FIR滤波器,计算线路频带信号相应幅值,确定暂态零序电流时频特征。依据时频特征的相似性度量结果,制定综合相关系数,确立判定条件实现小电流接地故障选线。实验结果表明,所提方法开展小电流接地故障选线时,选线判据灵敏度高且抗噪性较好。由此证明,所提方法在小电流接地故障选线时具有较高的应用效果。 展开更多
关键词 最优fir滤波器 小电流接地故障 选线技术 特征提取 电流时频分解
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Finite Element Approach for the Solution of First-Order Differential Equations
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作者 André Schmidt Horst R. Beyer +1 位作者 Matthias Hinze Evangelos N. Vandoros 《Journal of Applied Mathematics and Physics》 2020年第10期2072-2090,共19页
The finite element method has established itself as an efficient numerical procedure for the solution of arbitrary-shaped field problems in space. Basically, the finite element method transforms the underlying differe... The finite element method has established itself as an efficient numerical procedure for the solution of arbitrary-shaped field problems in space. Basically, the finite element method transforms the underlying differential equation into a system of algebraic equations by application of the method of weighted residuals in conjunction with a finite element ansatz. However, this procedure is restricted to even-ordered differential equations and leads to symmetric system matrices as a key property of the finite element method. This paper aims in a generalization of the finite element method towards the solution of first-order differential equations. This is achieved by an approach which replaces the first-order derivative by fractional powers of operators making use of the square root of a Sturm-Liouville operator. The resulting procedure incorporates a finite element formulation and leads to a symmetric but dense system matrix. Finally, the scheme is applied to the barometric equation where the results are compared with the analytical solution and other numerical approaches. It turns out that the resulting numerical scheme shows excellent convergence properties. 展开更多
关键词 finite Element Method first-Order Differential Equations Fractional Powers of Operators
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基于Verilog的FIR滤波器的设计与实现 被引量:1
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作者 苏靖轩 《信息与电脑》 2025年第4期80-83,共4页
文章介绍了利用Quartus和ModelSim联合实现并仿真一个32阶线性相位有限冲激响应(Finite Impulse Response,FIR)低通滤波器的过程,采样率为30 MHz,截止频率为2 MHz。输入信号为1 MHz、4 MHz、7 MHz的正弦波叠加。滤波器系数由MATLAB设计... 文章介绍了利用Quartus和ModelSim联合实现并仿真一个32阶线性相位有限冲激响应(Finite Impulse Response,FIR)低通滤波器的过程,采样率为30 MHz,截止频率为2 MHz。输入信号为1 MHz、4 MHz、7 MHz的正弦波叠加。滤波器系数由MATLAB设计,硬件描述和综合在Quartus完成,仿真验证通过ModelSim进行。结果表明,该滤波器能有效抑制高于2 MHz的频率成分,保持通带信号完整性。研究提升了数字滤波器设计的性能与精度,对通信与信号处理领域具有重要意义。 展开更多
关键词 fir滤波器 线性相位 Quartus MODELSIM VERILOG
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Finite Difference Method of First Boundary Problem of a Generalized Diffusion Model in Population
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作者 郭秀兰 李国强 《Chinese Quarterly Journal of Mathematics》 CSCD 1997年第1期52-60, ,共9页
The solution of nonlinear parabolic equation arising from population dynamics with boundary and initial value are established by the finite difference method,as well as it denotes the unique generalized global solution.
关键词 NONLINEAR finite difference generalized global solution
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Finite Element Analysis of Large Size Chromium Oxide Green Bodies During Firing
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作者 ZHANG Yongzhi WANG Han +4 位作者 ZHANG Tao FAN Muxu SHI Pengkun FENG Zhiyuan LIANG Zhen 《China's Refractories》 CAS 2023年第2期12-17,共6页
To prevent dense chromium oxide covers from cracking during firing,such as internal cracking,surface cracking and fracture,the firing process of dense chromium oxide products was simulated,and the performance paramete... To prevent dense chromium oxide covers from cracking during firing,such as internal cracking,surface cracking and fracture,the firing process of dense chromium oxide products was simulated,and the performance parameters at several specific temperatures before and after densification of chromium oxide green bodies were tested.The temperature difference and the stress difference of chromium oxide green bodies were calculated by Finite Element Software at heating and cooling rates of 10,20,30 and 40℃·h^(-1),respectively.The results show that large temperature difference and thermal stress difference are the main causes of internal cracking,surface cracking and fracture of the brick.Suitable heating rates reduce or avoid internal cracking of the brick.When the heating rate is 30℃·h^(-1) below 1450℃and 10℃·h^(-1) above 1450℃,the temperature difference and the thermal stress difference in the brick are below 4℃and 4 MPa,respectively,and there is no internal crack in the brick after firing.The initial cooling stage is the key stage that causes cracking or fracture of bricks.When the cooling rate is 20℃·h^(-1) above 1450℃,the thermal stress difference in the brick is less than 4 MPa,which can significantly reduce the surface cracks and fracture of the brick. 展开更多
关键词 finite element dense chromium oxide CRACKING temperature difference stress difference
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基于FPGA的低通FIR滤波器设计与实现
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作者 魏同成 张迎翔 +2 位作者 蒋宗宏 丁浩圆 杜勇 《喀什大学学报》 2025年第6期38-42,共5页
针对模拟滤波器精度低、灵活性和抗干扰能力差、难以实现复杂的高阶响应等问题,采用布莱克曼窗函数法生成滤波器系数,设计了一款有限长单位冲激响应(FIR)低通滤波器,并在MATLAB中对幅频响应及滤波器系数进行量化分析.该滤波器通带截止... 针对模拟滤波器精度低、灵活性和抗干扰能力差、难以实现复杂的高阶响应等问题,采用布莱克曼窗函数法生成滤波器系数,设计了一款有限长单位冲激响应(FIR)低通滤波器,并在MATLAB中对幅频响应及滤波器系数进行量化分析.该滤波器通带截止频率为158 Hz,通带纹波为0.1 dB,阻带截止频率为617.2 Hz,阻带衰减为74.21 dB,并对系数进行12 bit量化.实验结果表明,基于FPGA开发板完成综合设计、仿真与实时测试,硬件验证结果与仿真结果相一致.通过利用FIR滤波器系数的对称特性实现了FPGA资源的优化.该系统适用于高速数字信号滤波及光通信滤波等应用场景. 展开更多
关键词 可编程门阵列(FPGA) fir滤波器 可见光通信 系数量化
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Finite element analysis and experimental study on the sealing performance of low-phenyl silicone rubber sealing rings 被引量:1
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作者 Ming Gao Dongkai Li +6 位作者 Kun Liu Shuliang Xu Feng Zhao Ben Guo Anhui Pan Xiao Xie Huanre Han 《Railway Sciences》 2025年第1期123-137,共15页
Purpose–The brake pipe system was an essential braking component of the railway freight trains,but the existing E-type sealing rings had problems such as insufficient low-temperature resistance,poor heat stability an... Purpose–The brake pipe system was an essential braking component of the railway freight trains,but the existing E-type sealing rings had problems such as insufficient low-temperature resistance,poor heat stability and short service life.To address these issues,low-phenyl silicone rubber was prepared and tested,and the finite element analysis and experimental studies on the sealing performance of its sealing rings were carried out.Design/methodology/approach–The low-temperature resistance and thermal stability of the prepared lowphenyl silicone rubber were studied using low-temperature tensile testing,differential scanning calorimetry,dynamic thermomechanical analysis and thermogravimetric analysis.The sealing performance of the lowphenyl silicone rubber sealing ring was studied by using finite element analysis software abaqus and experiments.Findings–The prepared low-phenyl silicone rubber sealing ring possessed excellent low-temperature resistance and thermal stability.According to the finite element analysis results,the finish of the flange sealing surface and groove outer edge should be ensured,and extrusion damage should be avoided.The sealing rings were more susceptible to damage in high compression ratio and/or low-temperature environments.When the sealing effect was ensured,a small compression ratio should be selected,and rubbers with hardness and elasticity less affected by temperature should be selected.The prepared low-phenyl silicone rubber sealing ring had zero leakage at both room temperature(RT)and�508C.Originality/value–The innovation of this study is that it provides valuable data and experience for the future development of the sealing rings used in the brake pipe flange joints of the railway freight cars in China. 展开更多
关键词 Low-phenyl silicone rubber Sealing ring Sealing performance finite element analysis LEAKAGE
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Integrating finite element analysis in total hip arthroplasty for childhood hip disorders:Enhancing precision and outcomes 被引量:1
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作者 Muhammad Imam Ammarullah 《World Journal of Orthopedics》 2025年第1期1-11,共11页
Total hip arthroplasty for adults with sequelae from childhood hip disorders poses significant challenges due to altered anatomy.The paper published by Oommen et al reviews the essential management strategies for thes... Total hip arthroplasty for adults with sequelae from childhood hip disorders poses significant challenges due to altered anatomy.The paper published by Oommen et al reviews the essential management strategies for these complex cases.This article explores the integration of finite element analysis(FEA)to enhance surgical precision and outcomes.FEA provides detailed biomechanical insights,aiding in preoperative planning,implant design,and surgical technique optimization.By simulating implant configurations and assessing bone quality,FEA helps in customizing implants and evaluating surgical techniques like subtrochanteric shortening osteotomy.Advanced imaging techniques,such as 3D printing,virtual reality,and augmented reality,further enhance total hip arthroplasty precision.Future research should focus on validating FEA models,developing patient-specific simulations,and promoting multidisciplinary collaboration.Integrating FEA and advanced technologies in total hip arthroplasty can improve functional outcomes,reduce complications,and enhance quality of life for patients with childhood hip disorder sequelae. 展开更多
关键词 finite element analysis Total hip arthroplasty Childhood hip disorders IMPLANT BIOMECHANICAL
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基于FPGA的DDS任意波形发生器及FIR数字滤波系统设计
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作者 周琦发 李正权 《自动化应用》 2025年第17期137-141,共5页
为满足测试领域对多样化信号激励源的需求,基于FPGA研制了集成FIR数字滤波功能的DDS任意波形发生器系统。系统以DAC11001B芯片构建数模转换电路,采用VC709 FPGA开发板实现数字波形生成与切换控制,结合MATLAB生成FIR滤波器系数文件构建... 为满足测试领域对多样化信号激励源的需求,基于FPGA研制了集成FIR数字滤波功能的DDS任意波形发生器系统。系统以DAC11001B芯片构建数模转换电路,采用VC709 FPGA开发板实现数字波形生成与切换控制,结合MATLAB生成FIR滤波器系数文件构建数字滤波模块。结果表明,该系统可输出4种用户可切换、频率相对误差不超过1%的模拟波形,并支持FIR数字信号滤波处理功能,有效扩展了系统的灵活性,为信号测试提供了高效灵活的解决方案。 展开更多
关键词 直接数字频率合成 任意波形发生器 现场可编程门阵列 fir数字滤波系统
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Grothendieck Groups of Finite 2-Calabi-Yau Triangulated Categories with Maximal Rigid Objects
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作者 CHANG Huimin 《数学进展》 北大核心 2025年第3期479-488,共10页
In this work,we compute the Grothendieck groups of finite 2-Calabi-Yau triangulated categories with maximal rigid objects which are not cluster tilting.These finite 2-Calabi-Yau triangulated categories are divided int... In this work,we compute the Grothendieck groups of finite 2-Calabi-Yau triangulated categories with maximal rigid objects which are not cluster tilting.These finite 2-Calabi-Yau triangulated categories are divided into,by the work of Amiot[Bull.Soc.Math.France,2007,135(3):435-474](see also[Adv.Math.,2008,217(6):2443-2484]and[J.Algebra,2016,446:426-449]),three classes:type A,type D and type E. 展开更多
关键词 finite 2-Calabi-Yau triangulated category Grothendieck group Dynkin quiver
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基于神经网络的稀疏二维FIR滤波器设计
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作者 李怡 赵加祥 徐微 《计算机工程与设计》 北大核心 2025年第7期1841-1847,共7页
针对高性能二维线性相位有限脉冲响应(finite impulse response,FIR)滤波器设计,随着阶数增加导致计算和存储压力过大的问题,提出一种稀疏二维FIR滤波器设计的迭代方法。稀疏二维FIR滤波器设计问题被转化为神经网络的李雅普诺夫能量函... 针对高性能二维线性相位有限脉冲响应(finite impulse response,FIR)滤波器设计,随着阶数增加导致计算和存储压力过大的问题,提出一种稀疏二维FIR滤波器设计的迭代方法。稀疏二维FIR滤波器设计问题被转化为神经网络的李雅普诺夫能量函数最小化问题。在每次迭代中,利用加权Frobenius范数的正交匹配追踪(orthogonal matching pursuit,OMP)算法寻找滤波器中非零系数的位置,使用Hopfield神经网络计算非零系数。仿真结果表明,该方法能够有效增加二维FIR滤波器的稀疏度,稀疏效果优于已有的稀疏滤波器设计算法。 展开更多
关键词 霍普菲尔德神经网络 稀疏滤波器 线性相位 二维有限脉冲响应滤波器 弗罗贝尼乌斯范数 正交匹配追踪 迭代算法
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