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A Basis Function Generation Based Digital Predistortion Concurrent Neural Network Model for RF Power Amplifiers
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作者 SHAO Jianfeng HONG Xi +2 位作者 WANG Wenjie LIN Zeyu LI Yunhua 《ZTE Communications》 2025年第1期71-77,共7页
This paper proposes a concurrent neural network model to mitigate non-linear distortion in power amplifiers using a basis function generation approach.The model is designed using polynomial expansion and comprises a f... This paper proposes a concurrent neural network model to mitigate non-linear distortion in power amplifiers using a basis function generation approach.The model is designed using polynomial expansion and comprises a feedforward neural network(FNN)and a convolutional neural network(CNN).The proposed model takes the basic elements that form the bases as input,defined by the generalized memory polynomial(GMP)and dynamic deviation reduction(DDR)models.The FNN generates the basis function and its output represents the basis values,while the CNN generates weights for the corresponding bases.Through the concurrent training of FNN and CNN,the hidden layer coefficients are updated,and the complex multiplication of their outputs yields the trained in-phase/quadrature(I/Q)signals.The proposed model was trained and tested using 300 MHz and 400 MHz broadband data in an orthogonal frequency division multiplexing(OFDM)communication system.The results show that the model achieves an adjacent channel power ratio(ACPR)of less than-48 d B within a 100 MHz integral bandwidth for both the training and test datasets. 展开更多
关键词 basis function generation digital predistortion generalized memory polynomial dynamic deviation reduction neural network
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Phase distortion correction of fringe patterns in spaceborne Doppler asymmetric spatial heterodyne interferometry 被引量:1
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作者 PEI Hui-yi JIANG Lun +4 位作者 WANG Jin-jiang CUI Yong FANG Yuan-xiang ZHANG Jia-ming CHEN Ci 《中国光学(中英文)》 北大核心 2025年第2期382-392,共11页
As an advanced device for observing atmospheric winds,the spaceborne Doppler Asymmetric Spatial Heterodyne(DASH)interferometer also encounters challenges associated with phase distortion,par-ticularly in limb sounding... As an advanced device for observing atmospheric winds,the spaceborne Doppler Asymmetric Spatial Heterodyne(DASH)interferometer also encounters challenges associated with phase distortion,par-ticularly in limb sounding scenarios.This paper discusses interferogram modeling and phase distortion cor-rection techniques for spaceborne DASH interferometers.The modeling of phase distortion interferograms with and without Doppler shift for limb observation was conducted,and the effectiveness of the analytical expression was verified through numerical simulation.The simulation results indicate that errors propagate layer by layer while using the onion-peeling inversion algorithm to handle phase-distorted interferograms.In contrast,the phase distortion correction algorithm can achieve effective correction.This phase correction method can be successfully applied to correct phase distortions in the interferograms of the spaceborne DASH interferometer,providing a feasible solution to enhance its measurement accuracy. 展开更多
关键词 Doppler asymmetric spatial heterodyne spectroscopy phase distortion phase inversion atmospheric wind measurement
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Some inequalities for the generalized linear distortion function 被引量:2
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作者 MA Xiao-yan QIU Song-liang +1 位作者 ZHONG Gen-hong CHU Yu-ming 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2012年第1期87-93,共7页
In this paper, we establish several inequalities for the the generalized linear distortion function λ(a, K) by using the monotonicity and convexity of certain combinations λ(a, K).
关键词 modular equation generalized linear distortion function inequality.
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MONOTONICITY AND INEQUALITIES FOR THE GENERALIZED DISTORTION FUNCTION 被引量:2
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作者 马晓艳 褚玉明 王飞 《Acta Mathematica Scientia》 SCIE CSCD 2013年第6期1759-1766,共8页
The authors prove some monotonicity properties of functions involving the generalized Agard distortion function ηg(a,t), and obtain some inequalities for ηk(a, t) and relative distortion functions.
关键词 generalized modular equation generalized η-distortion function monotonic-ity inequality
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Distortion Function for Emoji Image Steganography 被引量:1
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作者 Lina Shi Zichi Wang +3 位作者 Zhenxing Qian Nannan Huang Pauline Puteaux Xinpeng Zhang 《Computers, Materials & Continua》 SCIE EI 2019年第6期943-953,共11页
Nowadays,emoji image is widely used in social networks.To achieve covert communication in emoji images,this paper proposes a distortion function for emoji images steganography.The profile of image content,the intra-an... Nowadays,emoji image is widely used in social networks.To achieve covert communication in emoji images,this paper proposes a distortion function for emoji images steganography.The profile of image content,the intra-and inter-frame correlation are taken into account in the proposed distortion function to fit the unique properties of emoji image.The three parts are combined together to measure the risks of detection due to the modification on the cover data.With the popular syndrome trellis coding(STC),the distortion of stego emoji image is minimized using the proposed distortion function.As a result,less detectable artifacts could be found in the stego images.Experimental results show that the proposed distortion function performs much higher undetectability than current state-of-the-art distortion function HILL which is designed for natural image. 展开更多
关键词 STEGANOGRAPHY emoji image distortion function
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Effect of lattice distortion of CeO_(2) on direct synthesis of dimethyl carbonate from CO_(2) and methanol
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作者 ZHAO Jiangtao AI Peipei +3 位作者 ZHANG Xuyan SHAO Xuhao TAN Minghui HUANG Wei 《燃料化学学报(中英文)》 北大核心 2025年第11期1590-1602,共13页
The conversion of CO_(2)to dimethyl carbonate(DMC)offers a promising route for CO_(2)utilization.In this study,four CeO2 catalysts with distinct nanostructures were synthesized via a template-free hydrothermal method ... The conversion of CO_(2)to dimethyl carbonate(DMC)offers a promising route for CO_(2)utilization.In this study,four CeO2 catalysts with distinct nanostructures were synthesized via a template-free hydrothermal method by systematically varying the types and concentrations of precipitants as well as the hydrothermal reaction conditions,and they were employed for DMC synthesis from CO_(2)and methanol.The atomic arrangements of CeO_(2)varied significantly with its morphology,leading to differences in lattice distortion,which directly influenced the concentration of oxygen vacancies.Notably,the CeO_(2)nanospheres,which exhibited the highest lattice distortion and oxygen vacancy concentration,achieved a DMC yield(11.12 mmol/g)48 times greater than that of the nanocubes(0.23 mmol/g).The results indicated that oxygen vacancies played a pivotal role in the catalytic process by facilitating the adsorption and activation of CO_(2)to form bidentate carbonates,as well as activating methanol to generate methoxy species.These processes collectively promoted the formation of the key intermediate(*CH3OCOO).This study proposes a strategy to enhance the oxygen vacancy concentration by increasing lattice distortion,providing valuable insights for designing high-performance CeO_(2)catalysts for DMC synthesis. 展开更多
关键词 cerium dioxide lattice distortion oxygen vacancy
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A close look at few-shot real image super-resolution from the distortion relation perspective
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作者 Xin Li Xin Jin +3 位作者 Jun Fu Xiaoyuan Yu Bei Tong Zhibo Chen 《中国科学技术大学学报》 北大核心 2025年第7期2-13,1,I0001,共14页
Collecting amounts of distorted/clean image pairs in the real world is non-trivial,which severely limits the practical application of these supervised learning-based methods to real-world image super-resolution(RealSR... Collecting amounts of distorted/clean image pairs in the real world is non-trivial,which severely limits the practical application of these supervised learning-based methods to real-world image super-resolution(RealSR).Previous works usually address this problem by leveraging unsupervised learning-based technologies to alleviate the dependency on paired training samples.However,these methods typically suffer from unsatisfactory texture synthesis due to the lack of supervision of clean images.To overcome this problem,we are the first to take a close look at the under-explored direction for RealSR,i.e.,few-shot real-world image super-resolution,which aims to tackle the challenging RealSR problem with few-shot distorted/clean image pairs.Under this brand-new scenario,we propose distortion relation guided transfer learning(DRTL)for the few-shot RealSR by transferring the rich restoration knowledge from auxiliary distortions(i.e.,synthetic distortions)to the target RealSR under the guidance of the distortion relation.Concretely,DRTL builds a knowledge graph to capture the distortion relation between auxiliary distortions and target distortion(i.e.,real distortions in RealSR).Based on the distortion relation,DRTL adopts a gradient reweighting strategy to guide the knowledge transfer process between auxiliary distortions and target distortions.In this way,DRTL is able to quickly learn the most relevant knowledge from the synthetic distortions for the target distortion.We instantiate DRTL with two commonly-used transfer learning paradigms,including pretraining and meta-learning pipelines,to realize a distortion relation-aware few-shot RealSR.Extensive experiments on multiple benchmarks and thorough ablation studies demonstrate the effectiveness of our DRTL. 展开更多
关键词 few-shot RealSR distortion relation graph transfer learning
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Distortion Theorems and Schlicht Radius for p-Bloch Functions
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作者 Xiaohui ZHENG Jianfei WANG 《Journal of Mathematical Research with Applications》 CSCD 2013年第1期45-53,共9页
In this paper, we establish distortion theorems for both normalized p-Bloch functions with branch points and normalized locally univalent p-Bloch functions defined on the unit disk, respectively. These distortion theo... In this paper, we establish distortion theorems for both normalized p-Bloch functions with branch points and normalized locally univalent p-Bloch functions defined on the unit disk, respectively. These distortion theorems give lower bounds on [f'(z)] and sRf'(z). As applications of these distortion theorems, the lower bounds of the radius of the largest schlicht disk on these Bloch functions are given, respectively. Notice that when p= 1, our results reduce to that of Liu and Minda. 展开更多
关键词 p-Bloch functions distortion theorems schlicht radius Julia' lemma.
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Modeling Distortion Signals of Power Grid Based on Wiener-G Functionals
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作者 Xiao-Bing Zhang Yun-Hui Li Guo-Zhi Fang 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2014年第3期79-84,共6页
The uniform mathematical model of distortion signals in power grid has been setup with the theory of Wiener-G Functional. Firstly,the Matlab simulation models were established. Secondly,the Wiener kernel of power load... The uniform mathematical model of distortion signals in power grid has been setup with the theory of Wiener-G Functional. Firstly,the Matlab simulation models were established. Secondly,the Wiener kernel of power load was found based on the Gaussian white noise as input. And then the uniform mathematical model of the power grid signal was established according to the homogeneous of the same order of Wiener functional series. Finally,taking three typical distortion sources which are semiconductor rectifier,electric locomotive and electric arc furnace in power grid as examples,we have validated the model through the Matlab simulation and analyzed the simulation errors. The results show that the uniform mathematical model of distortion signals in power grid can approximation the actual model by growing the items of the series under the condition of the enough storage space and computing speed. 展开更多
关键词 electric energy measurement distortion signals model of power grid signal functional series Wiener kernel
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On Distortion Theorems for the n-th Order Derivative of Starlike and Convex Functions of Order α
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作者 凌怡 盖云英 包革军 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 1996年第4期5-8,共4页
The object of the present paper is to prove distortion theorems for the n-th order derivative of starlike and convex functions of order a. In addition. a related conjecture involving the fractional derivative of the ... The object of the present paper is to prove distortion theorems for the n-th order derivative of starlike and convex functions of order a. In addition. a related conjecture involving the fractional derivative of the convex function f(z) by Owa S and Srivastava H M is investigated. 展开更多
关键词 ss: ANALYTIC fractional DERIVATIVE distortion THEOREMS
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Distortion Evaluation of EMP Sensors Using Associated-Hermite Functions
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作者 Rupo Ma Siping Gao 《Computers, Materials & Continua》 SCIE EI 2023年第1期1093-1105,共13页
Electromagnetic pulse(EMP)is a kind of transient electromagnetic phenomenon with short rise time of the leading edge and wide spectrum,which usually disrupts communications and damages electronic equipment and system.... Electromagnetic pulse(EMP)is a kind of transient electromagnetic phenomenon with short rise time of the leading edge and wide spectrum,which usually disrupts communications and damages electronic equipment and system.It is challenging for an EMP sensor to measure a wideband electromagnetic pulse without distortion for the whole spectrum.Therefore,analyzing the distortion of EMP measurement is crucial to evaluating the sensor distortion characteristics and correcting the measurement results.Waveform fidelity is usually employed to evaluate the distortion of an antenna.However,this metric depends on specific signal waveforms,thus is unsuitable for evaluating and analyzing the distortion of EMP sensors.In this paper,an associated-hermite-function based distortion analysis method including system transfer matrices and distortion rates is proposed,which is general and independent from individual waveforms.The system transfer matrix and distortion rate can be straightforwardly calculated by the signal orthogonal transformation coefficients using associated-hermite functions.Distortion of a sensor vs.frequency is then visualized via the system transfer matrix,which is convenient in quantitative analysis of the distortion.Measurement of a current probe,a coaxial pulse voltage probe and a B-field sensor were performed,based on which the feasibility and effectiveness of the proposed distortion analysis method is successfully verified. 展开更多
关键词 Electromagnetic pulse associated-hermite functions system transfer matrix distortion rate
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Correcting on-chip distortion of control pulses with silicon spin qubits
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作者 Ming Ni Rong-Long Ma +10 位作者 Zhen-Zhen Kong Ning Chu Wei-Zhu Liao Sheng-Kai Zhu Chu Wang Gang Luo Di Liu Gang Cao Gui-Lei Wang Hai-Ou Li Guo-Ping Guo 《Chinese Physics B》 2025年第1期265-271,共7页
In semiconductor quantum dot systems,pulse distortion is a significant source of coherent errors,which impedes qubit characterization and control.Here,we demonstrate two calibration methods using a two-qubit system as... In semiconductor quantum dot systems,pulse distortion is a significant source of coherent errors,which impedes qubit characterization and control.Here,we demonstrate two calibration methods using a two-qubit system as the detector to correct distortion and calibrate the transfer function of the control line.Both methods are straightforward to implement,robust against noise,and applicable to a wide range of qubit types.The two methods differ in correction accuracy and complexity.The first,coarse predistortion(CPD)method,partially mitigates distortion.The second,all predistortion(APD)method,measures the transfer function and significantly enhances exchange oscillation uniformity.Both methods use exchange oscillation homogeneity as the metric and are suitable for any qubit driven by a diabatic pulse.We believe these methods will enhance qubit characterization accuracy and operation quality in future applications. 展开更多
关键词 quantum computation quantum dot pulse distortion
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Correction Optimization of Lens Radial Distortion with Bending Measurement Function
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作者 张敏 吴凡路 +3 位作者 金龙旭 李国宁 韩双丽 张宇 《Transactions of Tianjin University》 EI CAS 2016年第4期374-379,共6页
In this paper, a distortion correction method with reduced complexity is proposed. With the singleparameter division model, the initial approximation of distortion parameters and the distortion center can be calibrate... In this paper, a distortion correction method with reduced complexity is proposed. With the singleparameter division model, the initial approximation of distortion parameters and the distortion center can be calibrated. Based on the distance from the image center to the fitting lines of the extracted curves, a bending measurement function with a weighted factor is proposed to optimize the initial value. Simulation and experiments verify the proposed method. 展开更多
关键词 arc fitting camera calibration distortion correction division model field angle
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Differential-geometry-based multi-dimensional joint position-velocity estimation using Crab pulsar profile distortion
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作者 Jin LIU Huanzi ZHANG +1 位作者 Xiaolin NING Xin MA 《Chinese Journal of Aeronautics》 2025年第1期551-567,共17页
The traditional orbit determination method based on pulsar profile distortion can determine the six elements of the orbit.However,the estimation accuracies of these methods are limited and the computational load of a ... The traditional orbit determination method based on pulsar profile distortion can determine the six elements of the orbit.However,the estimation accuracies of these methods are limited and the computational load of a six-dimensional search is huge.To solve this problem,the differential-geometry-based Multi-dimensional Joint Position-Velocity Estimation(MJPVE)using Crab pulsar profile distortion is proposed in this paper.Firstly,through theoretical analysis,it is found that the pulsar profile distortion caused by the initial state error in some joint positionvelocity directions is very small.In other words,the accuracies of estimation in these directions are very low.Namely,the search dimension can be reduced,which in turn greatly reduces the computational load.Then,we construct the chi-squared function of the pulsar profile with respect to the estimation error in joint position-velocity direction and use differential geometry to find the joint position-velocity directions corresponding to different degrees of distortion.Finally,we utilize the grid search based on directory folding in these joint position-velocity directions corresponding to large degrees of distortion to obtain the joint position-velocity estimation.The experimental results show that compared with the grouping bi-chi-squared inversion method,MJPVE has high precision and extensive navigation information. 展开更多
关键词 Joint Position-Velocity Estimation PULSARS Profile distortion Orbit Determination Differential Geometry
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Proximity-engineered Ru single-atom sites modulate Fe-N_(4) spatial distortion for enhanced acidic oxygen reduction reaction
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作者 Shu-Hu Yin Xiao-Yang Cheng +6 位作者 Yu Han Ting Zhu Zhong-Wei Yu Rui Huang Jun Xu Yan-Xia Jiang Shi-Gang Sun 《Chinese Journal of Catalysis》 2025年第11期343-353,共11页
Fe-N-C catalysts are promising substitutes for precious-metal platinum in acidic oxygen reduction reactions(ORR),yet their moderate intrinsic activity and susceptibility to reactive oxygen species(ROS)-induced degrada... Fe-N-C catalysts are promising substitutes for precious-metal platinum in acidic oxygen reduction reactions(ORR),yet their moderate intrinsic activity and susceptibility to reactive oxygen species(ROS)-induced degradation hinder practical implementation.Herein,we fabricate a Ru-Fe dual-site catalyst(RuFe-N-C)through a two-step pyrolysis strategy.Structural characterization reveals atomic-scale proximity between Ru single atoms and Fe-N_(4) moieties,exhibiting a projected distance of~1.7Å.This configuration induces Fe–N bond elongation accompanied by 2.5%lattice distortion.The optimized RuFe-N-C catalyst exhibits high ORR performance,with a half-wave potential(E_(1/2))of 0.840 V and peak power density(P_(max))of 938 mW cm^(-2) under 150 kPa absolute H_(2)-O_(2).These metrics signify substantial enhancements relative to conventional Fe-N-C benchmarks(+21 mV in E_(1/2) and+42%in P_(max)).Moreover,the catalyst maintains outstanding stability,showing merely 17 mV E_(1/2) decay after 10000 accelerated durability test(ADT)cycles.Experimental analyses reveal a bifunctional mechanism:(1)Adjacent Ru sites substantially enhance the intrinsic ORR activity of Fe-N_(4) moieties,delivering a notable turnover frequency(TOF=17.86 e site^(-1) s^(-1) at 0.85 V vs.RHE)that exceeds state-of-the-art Fe-N-C benchmarks by 1-2 orders of magnitude(<1 e site^(-1) s^(-1));(2)Ru centers function as electron relays that facilitate ROS scavenging,thus suppressing degradation.This work establishes a paradigm for engineering bimetallic single-atom catalysts through synergistic electronic modulation to concurrently enhance activity and stability. 展开更多
关键词 Oxygen reduction reaction PGM-free catalyst Ru-Fe dual site Spatial distortion Fuel cells
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A lifting-wavelet-based iterative thresholding correction for atomic force microscopy images with vertical distortion
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作者 Yifan Bai Yinan Wu Yongchun Fang 《Nanotechnology and Precision Engineering》 2025年第3期29-40,共12页
To eliminate distortion caused by vertical drift and illusory slopes in atomic force microscopy(AFM)imaging,a lifting-wavelet-based iterative thresholding correction method is proposed in this paper.This method achiev... To eliminate distortion caused by vertical drift and illusory slopes in atomic force microscopy(AFM)imaging,a lifting-wavelet-based iterative thresholding correction method is proposed in this paper.This method achieves high-quality AFM imaging via line-by-line corrections for each distorted profile along the fast axis.The key to this line-by-line correction is to accurately simulate the profile distortion of each scanning row.Therefore,a data preprocessing approach is first developed to roughly filter out most of the height data that impairs the accuracy of distortion modeling.This process is implemented through an internal double-screening mechanism.A line-fitting method is adopted to preliminarily screen out the obvious specimens.Lifting wavelet analysis is then carried out to identify the base parts that are mistakenly filtered out as specimens so as to preserve most of the base profiles and provide a good basis for further distortion modeling.Next,an iterative thresholding algorithm is developed to precisely simulate the profile distortion.By utilizing the roughly screened base profile,the optimal threshold,which is used to screen out the pure bases suitable for distortion modeling,is determined through iteration with a specified error rule.On this basis,the profile distortion is accurately modeled through line fitting on the finely screened base data,and the correction is implemented by subtracting the modeling result from the distorted profile.Finally,the effectiveness of the proposed method is verified through experiments and applications. 展开更多
关键词 Atomic force microscopy Lifting wavelet analysis Iterative thresholding algorithm Vertical distortion
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Breaking the scaling relationship for high-performance seawater oxidation through lattice distortion triggered by molybdenum
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作者 Xingheng Zhang Zhaojie Wang +8 位作者 Shoufu Cao Xiaojing Lin Xiaodong Chen Qi Hou Shuxian Wei Siyuan Liu Fangna Dai Daofeng Sun Xiaoqing Lu 《Journal of Materials Science & Technology》 2025年第22期165-173,共9页
Efficient and stable electrocatalysts are essential for seawater splitting to sustain electrolysis without chloride corrosion,particularly at the anode.Furthermore,the oxygen evolution reaction(OER)requires high overp... Efficient and stable electrocatalysts are essential for seawater splitting to sustain electrolysis without chloride corrosion,particularly at the anode.Furthermore,the oxygen evolution reaction(OER)requires high overpotential due to the universal scaling relationship.Herein,molybdenum doping FeNi_(2)Se_(4)with lattice distortion is proposed to break the scaling relationship.Mo-FeNi_(2)Se_(4)shows high performance in direct seawater electrolysis and achieves current densities of 10 and 100 mA cm^(−2) at overpotentials of 190 and 250 mV,respectively,together with high OER selectivity and long-term stability.It is found that the lattice distortion induced by Mo doping in(3 1 0)plane of FeNi_(2)Se_(4),leads to a decrease in the d-band center and the adsorption energy of ^(*)O,which not only breaks the scaling relationship of OER but also lowers the energy barriers of rate-determining step.Moreover,it enhances the corrosion resistance to Cl^(−),and realizes the high-efficiency seawater electrolysis driven by photovoltaic. 展开更多
关键词 Scaling relationship Lattice distortion Mo doping-induced Solar-driven alkaline seawater electrolysis Oxygen evolution reaction
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Itinerant-electron dynamics suppressing Jahn-Teller distortions:Enabling high-rate and stable sodium-ion storage
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作者 Shuyun Yao Zhiyu Yang +8 位作者 Shiyu Wang Yuanming Liu Yingjie Ji Kang Ji Feike Zhang Weijie Fu Ningning Wu Jiangzhou Xie Yi-Ming Yan 《Journal of Energy Chemistry》 2025年第8期780-791,共12页
Jahn-Teller distortion(JTD)remains a fundamental bottleneck for transition metal oxides(TMOs)in electrochemical energy storage,where the e_(g)-orbital single-electron occupancy induces irreversible octahedral collapse... Jahn-Teller distortion(JTD)remains a fundamental bottleneck for transition metal oxides(TMOs)in electrochemical energy storage,where the e_(g)-orbital single-electron occupancy induces irreversible octahedral collapse and rapid capacity fading.Here,we pioneer an itinerant-electron-mediated dynamic suppression strategy that fundamentally reshapes the JTD evolution pathway throughπ-d orbital hybridization engineering.By constructing reduced graphene oxide/TMO heterointerfaces(rGO/MO_(x),M=Fe/Ni/Mn),localized 3d electrons are transformed into delocalized itinerant states,which(1)eliminate e_(g)-band degeneracy via orbital repopulation and(2)establish an electron density buffer layer to neutralize lattice strain.This electronic regulation enables ultrafast Na^(+)diffusion kinetics(508.3 F g^(−1)at 1 A g^(−1)→304.6 F g^(−1)at 20 A g^(−1))and near-zero lattice deformation(91.07%capacitance retention after 20,000 cycles).Synchrotron-based X-ray absorption spectroscopy and density functional theory calculations reveal that itinerant electron dynamics actively decouple the Mn^(3+)d^(4)electronic configuration from JTD triggering,leading to a dramatic suppression of octahedral distortion compared to the conventional MnO_(2).The proposed electron delocalization-to-lattice stabilization paradigm opens a universal route to design distortion-resistant electrodes for high-power energy storage systems. 展开更多
关键词 Itinerant electron E_(g)band flattening Jahn-Teller distortion Transition metal oxide
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Orientation Parameters Estimation and Lens Distortion Correction for UAVs Photogrammetry with Non-metric Cameras
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作者 DENG Xingsheng GAO Yang ZHU Xu 《Journal of Geodesy and Geoinformation Science》 2025年第1期71-88,共18页
The estimation of orientation parameters and correction of lens distortion are crucial problems in the field of Unmanned Aerial Vehicles(UAVs)photogrammetry.In recent years,the utilization of UAVs for aerial photogram... The estimation of orientation parameters and correction of lens distortion are crucial problems in the field of Unmanned Aerial Vehicles(UAVs)photogrammetry.In recent years,the utilization of UAVs for aerial photogrammetry has witnessed a surge in popularity.Typically,UAVs are equipped with low-cost non-metric cameras and a Position and Orientation System(POS).Unfortunately,the Interior Orientation Parameters(IOPs)of the non-metric cameras are not fixed.Whether the lens distortions are large or small,they effect the image coordinates accordingly.Additionally,Inertial Measurement Units(IMUs)often have observation errors.To address these challenges and improve parameter estimation for UAVs Light Detection and Ranging(LiDAR)and photogrammetry,this paper analyzes the accuracy of POS observations obtained from Global Navigation Satellite System Real Time Kinematic(GNSS-RTK)and IMU data.A method that incorporates additional known conditions for parameter estimation,a series of algorithms to simultaneously solve for IOPs,Exterior Orientation Parameters(EOPs),and camera lens distortion correction parameters are proposed.Extensive experiments demonstrate that the coordinates measured by GNSS-RTK can be directly used as linear EOPs;however,angular EOP measurements from IMUs exhibit relatively large errors compared to adjustment results and require correction during the adjustment process.The IOPs of non-metric cameras vary slightly between images but need to be treated as unknown parameters in high precision applications.Furthermore,it is found that the Ebner systematic error model is sensitive to the choice of the magnification parameter of the photographic baseline length in images,it should be set as less than or equal to one third of the photographic baseline to ensure stable solutions. 展开更多
关键词 UAVs photogrammetry non-metric cameras Interior Orientation Parameters(IOPs) Exterior Orientation Parameters(EOPs) lens distortion correction
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The Analysis of Gauss Radial Basis Functions and Its Application in Locating Olivine on the Moon
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作者 SONG Shicang SONG Xiaoyuan SONG Shuhan 《应用数学》 北大核心 2026年第1期173-181,共9页
Gauss radial basis functions(GRBF)are frequently employed in data fitting and machine learning.Their linear independence property can theoretically guarantee the avoidance of data redundancy.In this paper,one of the m... Gauss radial basis functions(GRBF)are frequently employed in data fitting and machine learning.Their linear independence property can theoretically guarantee the avoidance of data redundancy.In this paper,one of the main contributions is proving this property using linear algebra instead of profound knowledge.This makes it easy to read and understand this fundamental fact.The proof of linear independence of a set of Gauss functions relies on the constructing method for one-dimensional space and on the deducing method for higher dimensions.Additionally,under the condition of preserving the same moments between the original function and interpolating function,both the interpolating existence and uniqueness are proven for GRBF in one-dimensional space.The final work demonstrates the application of the GRBF method to locate lunar olivine.By combining preprocessed data using GRBF with the removing envelope curve method,a program is created to find the position of lunar olivine based on spectrum data,and the numerical experiment shows that it is an effective scheme. 展开更多
关键词 Gauss function Radial basis function Machine learning Lunar olivine locating Data fitting
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