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Digital Predistorter Implementation for Wideband Power Amplifiers in New Generation Wireless Systems Based on a Low-Complexity Volterra Series Model 基于低复杂度Volterra系列模型的新一代无线系统宽带功率放大器数字预失真器实现
IF 1.7 4区 工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-09-04 DOI: 10.1002/jnm.70113
Haithem Rezgui, Ghalid Abib, Fatma Rouissi, Adel Ghazel

In this article, we provide a novel, expanded, and adapted pruning approach for the Simplified Volterra Series (SVS) model that makes it applicable to a wider range of Power Amplifiers (PAs). The proposed Modified SVS (MSVS) model is then applied in a Digital Predistortion (DPD) architecture to linearize a 25 W Gallium Nitride (GaN) RF PA. A comprehensive and detailed experimental hardware setup is designed for the in-depth testing and validation of the proposed model based DPD architecture, covering PA characterization, model coefficients extraction, and linearization. Our proposed MSVS based DPD significantly reduces the computational cost by at least 60% compared to widely referenced models in the literature while maintaining an optimal balance between accuracy and complexity. Experimental results performed using Long Term Evolution (LTE) signals show a modeling accuracy of −37 dB in terms of Normalized Mean Square Error (NMSE) and a 14 dB reduction in out-of-band distortion in terms of Adjacent Channel Power Ratio (ACPR), compared to the no DPD configuration.

在本文中,我们为简化Volterra系列(SVS)模型提供了一种新颖、扩展和自适应的修剪方法,使其适用于更广泛的功率放大器(pa)。然后将提出的改进SVS (MSVS)模型应用于数字预失真(DPD)架构中,对25 W氮化镓(GaN)射频放大器进行线性化。为了深入测试和验证所提出的基于DPD架构的模型,设计了一个全面而详细的实验硬件设置,包括PA表征,模型系数提取和线性化。与文献中广泛引用的模型相比,我们提出的基于MSVS的DPD显着降低了至少60%的计算成本,同时保持了准确性和复杂性之间的最佳平衡。使用长期演进(LTE)信号进行的实验结果表明,与没有DPD配置相比,就归一化均方误差(NMSE)而言,建模精度为−37 dB,就相邻信道功率比(ACPR)而言,带外失真降低了14 dB。
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引用次数: 0
Coarse and Fine Encoding Genetic Algorithm Assisted Parameter Extraction Approach for Quasi-Empirical Equivalent Circuit Model of Fan-Out Coplanar Waveguide 扇出共面波导准经验等效电路模型的粗、精编码遗传算法辅助参数提取方法
IF 1.7 4区 工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-09-04 DOI: 10.1002/jnm.70107
Yanghui Hu, Hongliang Lu, Silu Yan, Lin Cheng, Shaowei Wang, Ranran Zhao, Yuming Zhang

In this article, a genetic algorithm based on coarse and fine encoding is proposed to assist the parameter extraction method of the coplanar waveguide model. First, an equivalent circuit model is proposed to accurately characterize the electrical characteristic parameters of the coplanar waveguide. The proposed quasi-empirical equivalent circuit model not only has a certain physical meaning but can also realize the solution of the nonlinear relationship between the device performance parameters and the dimensional structure parameters. Then, a single-step genetic algorithm is proposed to accelerate the parameter extraction based on the proposed semi-empirical model of the coplanar waveguide. On this basis, a coarse and fine encoding genetic algorithm is proposed to accelerate the parameter extraction. The proposed parameter extraction method not only avoids the problem of inaccurate element values that may be caused by artificially determining partial parameter values, but also omits the process of solving simultaneous equations. It can also avoid the problem of insufficient solution accuracy caused by the large order-of-magnitude difference between the values of equivalent circuit elements. Therefore, the quasi-empirical equivalent circuit model and the parameter extraction method accelerated by the coarse and fine encoding genetic algorithm proposed can achieve accurate and efficient modeling of devices.

本文提出了一种基于粗、精编码的遗传算法来辅助共面波导模型的参数提取方法。首先,提出了一个等效电路模型来准确表征共面波导的电特性参数。所提出的准经验等效电路模型不仅具有一定的物理意义,而且可以实现器件性能参数与尺寸结构参数之间非线性关系的求解。然后,基于所提出的共面波导半经验模型,提出了一种单步遗传算法来加速参数提取。在此基础上,提出了一种粗、精编码遗传算法来加速参数提取。所提出的参数提取方法不仅避免了人为确定部分参数值可能导致的元素值不准确的问题,而且省去了求解联立方程的过程。它还可以避免因等效电路元件的数值之间存在较大数量级差异而导致求解精度不足的问题。因此,提出的准经验等效电路模型和粗精编码遗传算法加速的参数提取方法可以实现对器件的准确高效建模。
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引用次数: 0
Performance Evaluation and Accelerated Optimization of 4H-SiC Power Devices Based on Neural Networks 基于神经网络的4H-SiC功率器件性能评估与加速优化
IF 1.7 4区 工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-09-04 DOI: 10.1002/jnm.70109
Wei Li, Jiaxi Zhang, Fan Bi, Xuanlin Wang, Yucheng Wang, Shaoxi Wang

Compared to traditional technology computer-aided design (TCAD) simulations, using neural networks to predict semiconductor device performance does not face convergence problems. This advantage is particularly significant when simulating devices made of materials like silicon carbide (SiC), which exhibit complex physical behaviors, making them difficult to converge in simulations. In addition, traditional TCAD software lacks the capability to deduce device structural parameters from device performance metrics. This article selects four critical structural parameters of 4H-SiC trench gate MOS devices: trench depth (Dt), gate oxide thickness (Tox), drift region doping concentration (Nd), and P-region channel P-region length (L) as variables. Firstly, two types of neural network architectures were constructed and trained to serve as a classifier and a value predictor, respectively, among them, the breakdown mechanism classifier achieved an accuracy rate of 97% in the validation process. The average error of breakdown voltage prediction was 5.6%. In order to ensure the accuracy and stability of the prediction, we randomly selected 1000 sets of parameters within the value range for simulation to obtain a new dataset and improve the neural network structure. The improved neural network achieved average errors of 2.9% and 4.9% in the prediction of breakdown voltage and on-resistance, respectively. Subsequently, we built an optimizer based on the improved neural network, achieving an automated design process for device structural parameters according to target breakdown voltage and on-resistance. In the accuracy validation of the optimizer, the average error between target values and actual values of breakdown voltage and on-resistance is 2.5% and 7.9%, respectively.

与传统的计算机辅助设计(TCAD)模拟技术相比,使用神经网络预测半导体器件性能不会面临收敛问题。当模拟由碳化硅(SiC)等材料制成的设备时,这一优势尤为重要,因为碳化硅表现出复杂的物理行为,使得它们难以在模拟中收敛。此外,传统的TCAD软件缺乏从器件性能指标推断器件结构参数的能力。本文选取4H-SiC沟槽栅MOS器件的四个关键结构参数:沟槽深度(Dt)、栅极氧化物厚度(Tox)、漂移区掺杂浓度(Nd)和p区沟道p区长度(L)作为变量。首先,构建并训练了两种类型的神经网络架构,分别作为分类器和值预测器,其中,故障机制分类器在验证过程中准确率达到97%。击穿电压预测的平均误差为5.6%。为了保证预测的准确性和稳定性,我们在数值范围内随机选取1000组参数进行模拟,得到新的数据集,并改进神经网络结构。改进后的神经网络对击穿电压和导通电阻的预测平均误差分别为2.9%和4.9%。随后,我们基于改进的神经网络构建了优化器,实现了根据目标击穿电压和导通电阻自动设计器件结构参数的过程。在优化器的精度验证中,击穿电压和导通电阻的目标值与实测值的平均误差分别为2.5%和7.9%。
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引用次数: 0
Improved Nutcracker Optimization Algorithm and Its Application to Antenna and Array Designs 改进的胡桃夹子优化算法及其在天线和阵列设计中的应用
IF 1.7 4区 工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-09-02 DOI: 10.1002/jnm.70100
Jinghui Zhu, Shaoxian Li, Peng Zhao, Gaofeng Wang

Metaheuristic algorithms play a crucial role in tackling the increasing complexity and challenges in antenna design. The nutcracker optimization algorithm (NOA), a novel metaheuristic inspired by nutcrackers' food-gathering, storing, searching, and retrieving behaviors, has shown excellent performance on 23 standard test functions and CEC—2014/2017/2020 test suites compared to well-established algorithms, yet it remains unapplied in antenna design. This study proposes a multi-strategy improved NOA (MINOA) to resolve NOA's unbalanced exploration and exploitation issues, applying it to ultra-wideband antenna design optimization and linear antenna array sidelobe suppression. MINOA employs Bernoulli chaotic mapping for uniform population initialization, a dynamic boundary strategy for balanced exploration and exploitation, and adaptive t-distribution disturbance to accelerate convergence and enhance local exploitation. Extensive tests on 23 benchmark functions prove MINOA's superiority in optimization accuracy, convergence speed, and stability over advanced algorithms such as NOA, WOA, GWO, SSA, DEA, SCSO, and HBMO. The Wilcoxon signed-rank test validates its significant improvement in accuracy. In broadband antenna optimization via an artificial neural network (ANN)-based surrogate model, MINOA reduces the mean square error (MSE) by 40.9% at the same iteration number and by 28.6% with 10 fewer iterations and 29 fewer fitness function calls compared to NOA during the preliminary training phase, achieving the widest bandwidth (3.62–11 GHz) among the eight algorithms. The Wilcoxon signed-rank test confirms MINOA's superiority. In the 16-element linear antenna array optimization, although MINOA performs slightly worse than DEA and WOA, it still achieves a low-sidelobe level of −41.38 dB, verifying its feasibility.

元启发式算法在解决日益复杂和挑战的天线设计中发挥着至关重要的作用。胡桃夹子优化算法(NOA)是一种受胡桃夹子食物采集、存储、搜索和检索行为启发的新型元启发式算法,与现有算法相比,它在23个标准测试函数和ec - 2014/2017/2020测试套件上表现优异,但在天线设计中仍未得到应用。本文提出了一种多策略改进的NOA (MINOA)方法,解决了NOA的不平衡勘探开发问题,并将其应用于超宽带天线设计优化和线性天线阵列副瓣抑制。MINOA采用伯努利混沌映射实现均匀种群初始化,采用动态边界策略实现均衡探索和开发,采用自适应t分布扰动加速收敛,增强局部开发。对23个基准函数的广泛测试证明,MINOA在优化精度、收敛速度和稳定性方面优于NOA、WOA、GWO、SSA、DEA、SCSO和HBMO等先进算法。Wilcoxon sign -rank检验验证了其准确性的显著提高。在基于人工神经网络(ANN)代理模型的宽带天线优化中,MINOA算法在相同迭代次数下的均方误差(MSE)降低了40.9%,在初始训练阶段比NOA算法减少了10次迭代和29次适应度函数调用,MSE降低了28.6%,实现了8种算法中最宽的带宽(3.62-11 GHz)。Wilcoxon sign -rank检验证实了MINOA的优越性。在16元线性天线阵优化中,MINOA虽然性能略差于DEA和WOA,但仍然达到了−41.38 dB的低旁瓣电平,验证了其可行性。
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引用次数: 0
Haar Wavelet Method for the Solution of Fourteenth Order Boundary Value Problems 十四阶边值问题的Haar小波解法
IF 1.7 4区 工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-09-02 DOI: 10.1002/jnm.70104
Rohul Amin, Imran Khan, Şuayip Yüzbaşı

Higher-order boundary value problems (BVP) of differential equations (DEs) are important in the mathematical description of many real-world processes. Solving such problems for exact or analytical solutions is not always easy to deal. Therefore, to compute their numerical solution, we need some numerical methods. Hence, in this work, a powerful numerical procedure based on Haar Wavelet (HW) method is established to deal with fourteenth-order BVPs linear and nonlinear. A generalized form of the algorithm is developed under general boundary conditions. Then the numerical method is verified on various examples from the literature. Also, maximum and root mean square errors are calculated. Moreover, a comparison between exact and numerical results is shown at different collocation points. Furthermore, convergence rate is approximately 2 at various numbers of nodal points is also calculated.

微分方程的高阶边值问题(BVP)在许多现实过程的数学描述中具有重要意义。用精确的或解析的方法解决这类问题并不总是容易的。因此,为了计算它们的数值解,我们需要一些数值方法。因此,本文建立了一种基于Haar小波(HW)方法的有效的十四阶bvp线性和非线性数值处理方法。在一般边界条件下,给出了该算法的广义形式。然后用文献中的各种算例对数值方法进行了验证。同时,计算最大误差和均方根误差。此外,在不同的配点处,给出了精确结果与数值结果的比较。此外,还计算了不同节点数下的收敛速率近似为2。
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引用次数: 0
Two-Port/Four-Port Self-Isolated MIMO Antenna With Dual Band for GSM-900/Sub-6 GHz 5G Applications for IoT and Biomedical Applications 双端口/四端口自隔离MIMO天线,双频,用于GSM-900/Sub-6 GHz 5G应用,用于物联网和生物医学应用
IF 1.7 4区 工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-09-02 DOI: 10.1002/jnm.70110
Navneet Kaur, Jaswinder Kaur, Surbhi Sharma, Aashish Kumar, Rajesh Khanna, Manish Sharma, Rana Gill

The work presents the design of a compact two and four-element multiple input multiple output (MIMO) antenna, featuring a self-isolation capability. The proposed MIMO antenna operates at 0.77–0.96 GHz Global System for Mobile Communication (GSM-900) and 3.4–3.8 GHz (sub-6 GHz 5G band) for |S11| < −10 dB. The front view of the designed antenna comprises a thin slot that is sandwiched between the patch and an additional radiating element. Further, an inverted T-shape ground has been incorporated to attain the dual-band functionality without increasing the size of the antenna. Four antenna elements are placed orthogonally to enhance isolation between the inter-spaced radiators. It provides high isolation of the order of 32 and 24 dB for the GSM and 5G bands, without the use of a decoupling element. The two-port and four-port MIMO antenna occupies a space of 38 × 23 mm2 and 50 × 45 mm2 on FR4 substrate with permittivity of 4.40. Furthermore, diversity characteristics have been evaluated based on crucial parameters like envelope correlation coefficient (ECC), diversity gain (DG), and channel capacity loss (CCL) which are computed, and corresponding values for these parameters are as ECC 0.02, DG 10, and CCL below 0.5 bits/s/Hz for the two-port antenna. However, in the case of the four-port MIMO antenna, diversity results are as ECC 0.005, DG 10, and CCL is below 0.4 bits/s/Hz, which shows that the diversity performance of the four-port MIMO is better than the two-port MIMO antenna. Further, the validation of results and performance parameters of the fabricated antenna are experimentally tested and verified with the simulation results. The proposed work is well suited for Internet-of-Things (IoT) and Biomedical applications with SAR values at 0.80 GHz/3.60 GHz for two/four ports corresponding to 0.000153 and 0.712 W/Kg for single-port and 0.000473 and 0.0483 W/Kg for the four-port MIMO antenna.

这项工作提出了一种紧凑的二元和四元多输入多输出(MIMO)天线的设计,具有自隔离能力。所提出的MIMO天线工作在0.77-0.96 GHz全球移动通信系统(GSM-900)和3.4-3.8 GHz (sub-6 GHz 5G频段),频率为|S11| <;−10 dB。所设计的天线的前视图包括夹在贴片和附加辐射元件之间的薄槽。此外,一个倒t形地已被纳入实现双频功能,而不增加天线的尺寸。四个天线单元垂直放置,以增强间隔散热器之间的隔离。它为GSM和5G频段提供32和24 dB数量级的高隔离,而无需使用去耦元件。两端口和四端口MIMO天线在FR4衬底上的空间分别为38 × 23 mm2和50 × 45 mm2,介电常数为4.40。在此基础上,通过计算包络相关系数(ECC)、分集增益(DG)和信道容量损失(CCL)等关键参数,对双端口天线的分集特性进行了评价,其对应值分别为:ECC 0.02、DG 10和CCL < 0.5 bits/s/Hz。而在四端口MIMO天线的情况下,分集结果为ECC 0.005, DG 10, CCL低于0.4 bits/s/Hz,说明四端口MIMO的分集性能优于双端口MIMO天线。此外,还对实验结果和天线性能参数进行了验证,并与仿真结果进行了验证。所提出的工作非常适合物联网(IoT)和生物医学应用,两/四端口的SAR值为0.80 GHz/3.60 GHz,对应于单端口0.000153和0.712 W/Kg,四端口MIMO天线的SAR值为0.000473和0.0483 W/Kg。
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引用次数: 0
A Compact Design of DTMOS-Tunable MOSFET-Only Dual-Output Low-Voltage Current-Mode Filter 一种紧凑的dtmos可调谐mosfet双输出低压电流型滤波器设计
IF 1.7 4区 工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-09-01 DOI: 10.1002/jnm.70106
Manoj Kumar, Maneesha Gupta, Bhawna Aggarwal

This paper presents compact, low-power, electronically tunable dual-output filters implemented using DTMOS (dynamic threshold MOSFET) in a 0.18 μm CMOS process. The designs utilize intrinsic transistor parasitic capacitances to realize filter responses, eliminating the need for external passive components. Electronic tunability in both low-pass and band-pass outputs is achieved through the dynamic threshold MOSFET technique, allowing operation at a lower supply voltage with fewer components. The low-pass filter's cut-off frequency can be tuned from 237.2 kHz to 141.34 MHz, while the band-pass filter's center frequency ranges from 218.3 kHz to 132.13 MHz. Three filter configurations are proposed to optimize frequency performance. Simulation results using Cadence–Virtuoso show an average power consumption of 0.213 mW at 1.6 V with a 15 pF load capacitor. The proposed filter design is ideal for integration into modern portable and power-sensitive electronic systems due to its wide tuning range, low voltage operation, low power consumption, and compact size.

本文提出了一种紧凑、低功耗、电子可调谐的双输出滤波器,采用0.18 μm CMOS工艺,采用动态阈值MOSFET实现。该设计利用固有晶体管寄生电容来实现滤波器响应,从而消除了对外部无源元件的需求。通过动态阈值MOSFET技术实现了低通和带通输出的电子可调性,允许在更低的电源电压下以更少的元件工作。低通滤波器的截止频率可从237.2 kHz调谐到141.34 MHz,而带通滤波器的中心频率范围为218.3 kHz至132.13 MHz。为了优化频率性能,提出了三种滤波器配置。使用Cadence-Virtuoso的仿真结果显示,在1.6 V和15 pF负载电容下,平均功耗为0.213 mW。所提出的滤波器设计非常适合集成到现代便携式和功率敏感的电子系统中,因为它具有宽调谐范围,低电压操作,低功耗和紧凑的尺寸。
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引用次数: 0
High-Precision Transient Electrothermal Co-Simulation Framework: Coupling of BSIM-CMG and High-Order Thermal Network 高精度瞬态电热联合仿真框架:BSIM-CMG与高阶热网的耦合
IF 1.7 4区 工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-09-01 DOI: 10.1002/jnm.70112
Ziping Wang, Fei Li, Yabin Sun, Yanling Shi, Xiaojin Li

Aggressively scaled devices with high power density wrapped around the low thermal conductivity material in narrow space are susceptible to severe self-heating effect (SHE), especially gate-all-around FETs (GAAFETs). Conventional BSIM-CMG compact model—relying on first-order thermal RC networks—severely underestimates high-frequency transient SHE impacts. In this paper, a transient electrothermal co-simulation framework coupled BSIM-CMG with a high-order thermal RC network is developed to accurately capture self-heated temperature prediction. Self-heating temperature rise is calculated through a high-order thermal network in which each RC component represents a discrete thermal dissipation path corresponding to one specific thermal region. The high-order thermal network substitution is accomplished via an HDL module that redefines power generation and dissipation computations at each thermal node, followed by the integration into the BSIM-CMG model for enabling comprehensive and precise transient thermal evaluation in device-circuit level. In contrast to the conventional methods, the proposed framework can more effectively replicate the phenomenon of multiple thermal time constants present in transient temperature responses of GAAFETs. Its simulation results exhibit better consistency with the TCAD, with an error of less than 2% at a given frequency of 200 MHz. Moreover, the proposed framework is further validated by the electrothermal co-simulation of ring oscillators and differential amplifier.

具有高功率密度的器件在狭窄的空间内包裹着低导热系数的材料,容易受到严重的自热效应(SHE)的影响,特别是栅极全方位场效应管(gaafet)。传统的BSIM-CMG紧凑模型依赖于一阶热RC网络,严重低估了高频瞬态SHE影响。本文开发了一种瞬态电热联合模拟框架,将BSIM-CMG与高阶热RC网络相结合,以准确捕获自热温度预测。自热温升通过高阶热网络计算,其中每个RC组件代表对应于一个特定热区域的离散散热路径。高阶热网络替换是通过HDL模块完成的,该模块重新定义了每个热节点的发电和耗散计算,然后集成到BSIM-CMG模型中,以便在器件电路级别进行全面精确的瞬态热评估。与传统方法相比,所提出的框架可以更有效地复制GAAFETs瞬态温度响应中存在的多个热时间常数现象。仿真结果与TCAD具有较好的一致性,在给定的200 MHz频率下误差小于2%。此外,通过环形振荡器和差分放大器的电热联合仿真进一步验证了所提框架的有效性。
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引用次数: 0
From Regular to Irregular: Enhancing Hairpin Filter Design With NSGA-II Optimization 从规则到不规则:用NSGA-II优化增强发夹过滤器设计
IF 1.7 4区 工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-08-19 DOI: 10.1002/jnm.70094
Jiayu Chen, Junchao Wang, Junjie Sheng, Yifan Wu, Yaqi Wang, Jun Liu

Radio Frequency Integrated Circuits (RFICs) are pivotal in modern wireless communication systems, demanding advanced design methodologies to meet escalating performance requirements. This paper introduces a novel framework for the automated design of irregular hairpin filters, utilizing the Non-dominated Sorting Genetic Algorithm II (NSGA-II) for multi-objective optimization. We propose two irregular design methodologies: random displacement and spline-based design, to enhance filter performance while ensuring manufacturability. The random displacement method incorporates obtuse angle detection to address fabrication challenges, while the spline-based approach achieves smoother transitions and faster convergence. Compared to conventional rule-based designs, both methods demonstrate significant improvements in return loss, insertion loss, and bandwidth. The random displacement method achieves a relative bandwidth of 21.74%, and the spline-based design achieves 20.25%, outperforming traditional approaches. These results underscore the potential of irregular design methodologies in advancing RFIC performance and manufacturability.

射频集成电路(rfic)在现代无线通信系统中至关重要,需要先进的设计方法来满足不断提高的性能要求。介绍了一种利用非支配排序遗传算法(NSGA-II)进行多目标优化的不规则发夹滤波器自动化设计的新框架。我们提出了两种不规则设计方法:随机位移和基于样条的设计,以提高滤波器的性能,同时确保可制造性。随机位移方法结合了钝角检测来解决制造挑战,而基于样条的方法实现了更平滑的过渡和更快的收敛。与传统的基于规则的设计相比,这两种方法在回波损耗、插入损耗和带宽方面都有显著改善。随机位移法的相对带宽达到21.74%,基于样条的设计达到20.25%,优于传统方法。这些结果强调了不规则设计方法在提高RFIC性能和可制造性方面的潜力。
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引用次数: 0
Numerical Investigation of a Nonlinear Time-Fractional Moving Boundary Model of Solvent Diffusion in a Spherical Glassy Polymer 球形玻璃聚合物中溶剂扩散非线性时分数移动边界模型的数值研究
IF 1.7 4区 工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2025-08-17 DOI: 10.1002/jnm.70074
Morteza Garshasbi, Forough Sanaei, Reza Sanaei

In this paper, a mathematical model that describes the anomalous diffusion of a solvent in a spherical glassy polymer is studied. To solve this mathematical problem, which includes the time-fractional diffusion equation with an inconstant diffusion coefficient and a nonlinear boundary condition, an iterative method based on the implicit finite difference method is presented. We prove the stability and convergence of the proposed numerical scheme. To show the capability and efficiency of the numerical method, the results obtained for different parameters with constant and inconstant diffusion coefficients are presented.

本文研究了描述溶剂在球形玻璃聚合物中反常扩散的数学模型。针对具有非恒定扩散系数和非线性边界条件的时间分数扩散方程的数学问题,提出了一种基于隐式有限差分法的迭代求解方法。证明了所提数值格式的稳定性和收敛性。为了说明数值方法的能力和效率,给出了恒定和非恒定扩散系数下不同参数的计算结果。
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引用次数: 0
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International Journal of Numerical Modelling-Electronic Networks Devices and Fields
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