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几类图变换的ISI指数
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作者 成文霞 梅银珍 《中北大学学报(自然科学版)》 2026年第1期118-126,共9页
Inverse Sum Indeg指数(ISI指数)是预测辛烷异构体总表面积的重要拓扑指数。针对ISI指数在图变换下缺乏系统表达式推导的问题,本文给出了具有n个顶点和m条边的简单连通图的细分图、线图、全图、半全点图、半全线图和广义变换图的ISI指... Inverse Sum Indeg指数(ISI指数)是预测辛烷异构体总表面积的重要拓扑指数。针对ISI指数在图变换下缺乏系统表达式推导的问题,本文给出了具有n个顶点和m条边的简单连通图的细分图、线图、全图、半全点图、半全线图和广义变换图的ISI指数的表达式,完善了ISI指数的图变换理论体系,为后续开展多重图变换下的拓扑指数研究奠定了基础。证明过程中,首先根据所研究图的定义确定其顶点和边的度,再对所研究图的边集进行分类并结合ISI指数的定义,建立了所研究图与原图之间的ISI指数关系,最后通过分类讨论,得到了各类图变换下的ISI指数的表达式。本文结果可应用于化学图论与复杂网络科学领域,既能为分子性质预测、分子结构筛选提供量化工具,也能刻画通信、交通等网络的结构演化过程,并为网络拓扑分析与优化设计提供理论依据。 展开更多
关键词 isi指数 细分图 线图 全图 半全点图 半全线图 广义变换图
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Detection of co-phasing error in segmented mirror based on extended Young’s interferometry combined with Vision Transformer
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作者 LIU Yin-ling YAO Chi +3 位作者 OUYANG Shang-tao WAN Yi-rong CHEN Mo LI Bin 《中国光学(中英文)》 北大核心 2026年第1期205-218,共14页
Due to the inability of manufacturing a single monolithic mirror at the 10-meter scales,segmented mirrors have become indispensable tools in modern astronomical research.However,to match the imaging performance of the... Due to the inability of manufacturing a single monolithic mirror at the 10-meter scales,segmented mirrors have become indispensable tools in modern astronomical research.However,to match the imaging performance of the monolithic counterpart,the sub-mirrors must maintain precise co-phasing.Piston error critically degrades segmented mirror imaging quality,necessitating efficient and precise detection.To ad-dress the limitations that the conventional circular-aperture diffraction with two-wavelength algorithm is sus-ceptible to decentration errors,and the traditional convolutional neural networks(CNNs)struggle to capture global features under large-range piston errors due to their restricted local receptive fields,this paper pro-poses a method that integrates extended Young’s interference principles with a Vision Transformer(ViT)to detect piston error.By suppressing decentration error interference through two symmetrically arranged aper-tures and extending the measurement range to±7.95μm via a two-wavelength(589 nm/600 nm)algorithm.This approach exploits ViT’s self-attention mechanism to model global characteristics of interference fringes.Unlike CNNs constrained by local convolutional kernels,the ViT significantly improves sensitivity to inter-ferogram periodicity.The simulation results demonstrate that the proposed method achieves a measurement accuracy of 5 nm(0.0083λ0)across the range of±7.95μm,while maintaining an accuracy exceeding 95%in the presence of Gaussian noise(SNR≥15 dB),Poisson noise(λ≥9 photons/pixel),and sub-mirror gap er-ror(Egap≤0.2)interference.Moreover,the detection speed shows significant improvement compared to the cross-correlation algorithm.This study establishes an accurate,robust framework for segmented mirror error detection,advancing high-precision astronomical observation. 展开更多
关键词 segmented mirror co-phasing piston errors ViT Young’s interference principles
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Second-order correlated interference with multi-wavelength thermal-light beams
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作者 De-Sheng Wang Yi-Ning Zhao +5 位作者 Lingxin Kong Su-Heng Zhang Chong Wang Cheng Ren Yuehua Su De-Zhong Cao 《Chinese Physics B》 2026年第2期374-382,共9页
A method for correlating thermal light over a wide spectral range is proposed.A multi-wavelength pseudothermal source,prepared by projecting laser beams of multiple wavelengths(650 nm,635 nm,532 nm,and 473 nm)onto a m... A method for correlating thermal light over a wide spectral range is proposed.A multi-wavelength pseudothermal source,prepared by projecting laser beams of multiple wavelengths(650 nm,635 nm,532 nm,and 473 nm)onto a moving thin ground glass plate,is employed in a double-slit interference experiment.The ground glass plate induces random phase differences between light beams of different wavelengths passing through it.This initial random phase difference significantly influences the high-order intensity correlation functions of multi-wavelength thermal beams.Experimentally,second-order correlated interference patterns,including subwavelength interference,of pseudothermal beams with different wavelengths are observed in the intensity correlation measurements.This method facilitates applications of correlated thermal photons in quantum information processing and quantum imaging. 展开更多
关键词 correlated interference multi-wavelength thermal light second-order correlation function
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Ultrahigh Electromagnetic Interference Shielding and Integrated Thermal Sensing-encryption Enabled by a Honeycomb-inspired Multifunctional Foam
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作者 Shao-Peng Yu Ya Liu +4 位作者 Ming-Yu Hao Xin Zhang Xu Zhang Yi-Cheng Yuan Zhen-Xiu Zhang 《Chinese Journal of Polymer Science》 2026年第2期513-524,I0016,共13页
With the rapid development of intelligent electronic and military equipment,multifunctional flexible materials that integrat electromagnetic interference(EMI)shielding,temperature sensing,and information encryption ar... With the rapid development of intelligent electronic and military equipment,multifunctional flexible materials that integrat electromagnetic interference(EMI)shielding,temperature sensing,and information encryption are urgently required.This study presents a bio-inspired hierarchical composite foam fabricated using supercritical nitrogen foaming technology.This material exhibits a honeycomb structure,with pore cell sizes controllable within a range of 30–92μm by regulating the filler.The carbon fiber felt(CFf)provides efficient reflection of electromagnetic waves,while the chloroprene rubber/carbon fiber/carbon black foam facilitates both wave absorption and temperature monitoring through its optimized conductive network.This synergistic mechanism results in an EMI shielding effectiveness(SE)of 60.06 d B with excellent temperature sensing performance(The temperature coefficient of resistance(TCR)is-2.642%/℃)in the 24–70℃ range.Notably,the material has a thermal conductivity of up to 0.159 W/(m·K),and the bio-inspired layered design enables information encryption,demonstrating the material's potential for secure communication applications.The foam also has tensile properties of up to 5.13 MPa and a tear strength of 33.02 N/mm.This biomimetic design overcomes the traditional limitations of flexible materials and provides a transformative solution for next-generation applications such as flexible electronics,aerospace systems and military equipment,which urgently need integrated electromagnetic protection,thermal management and information security. 展开更多
关键词 FLEXIBILITY Cellular structures Electromagnetic interference shielding Temperature sensor Message encryption
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Optical temporal interference model for investigation and manipulation of non-integer high-order harmonic generation
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作者 Zhao-Yue Meng Yun Pan +1 位作者 Jun-Ping Wang Xi Zhao 《Chinese Physics B》 2026年第2期433-441,共9页
High-precision optical frequency measurement serves as a cornerstone of modern science and technology,enabling advancements in fields ranging from fundamental physics to quantum information technologies.Obtaining prec... High-precision optical frequency measurement serves as a cornerstone of modern science and technology,enabling advancements in fields ranging from fundamental physics to quantum information technologies.Obtaining precise photon frequencies,especially in the ultraviolet or even extreme ultraviolet regimes,is a key goal in both light–matter interaction experiments and engineering applications.High-order harmonic generation(HHG)is an ideal light source for producing such photons.In this work,we propose an optical temporal interference model(OTIM)that establishes an analogy with multi-slit Fraunhofer diffraction(MSFD)to manipulate fine-frequency photon generation by exploiting the temporal coherence of HHG processes.Our model provides a unified physical framework for three distinct non-integer HHG generation schemes:single-pulse,shaped-pulse,and laser pulse train approaches,which correspond to single-MSFD-like,double-MSFD-like,and multi-MSFD-like processes,respectively.Arbitrary non-integer HHG photons can be obtained using our scheme.Our approach provides a new perspective for accurately measuring and controlling photon frequencies in fields such as frequency comb technology,interferometry,and atomic clocks. 展开更多
关键词 high-order harmonic generation optical temporal interference multi-slit Fraunhofer diffraction
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Beyond the surface:Advancing neurorehabilitation with transcranial temporal interference stimulation——clinical applications and future prospects
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作者 Camille E.Proulx Friedhelm C.Hummel 《Neural Regeneration Research》 2026年第5期1987-1988,共2页
Brain lesions,such as those caused by stroke or traumatic brain injury(TBI),frequently result in persistent motor and cognitive impairments that significantly affect the individual patient's quality of life.Despit... Brain lesions,such as those caused by stroke or traumatic brain injury(TBI),frequently result in persistent motor and cognitive impairments that significantly affect the individual patient's quality of life.Despite differences in the mechanisms of injury,both conditions share a high prevalence of motor and cognitive impairments.These deficits show only limited natural recovery. 展开更多
关键词 NEUROREHABILITATION STIMULATION TRANSCRANIAL TEMPORAL interference motor cognitive impairments brain lesionssuch motor cognitive impairmentsthese
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Suppression of Dry-Coupled Rubber Layer Interference in Ultrasonic Thickness Measurement:A Comparative Study of Empirical Mode Decomposition Variants
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作者 Weichen Wang Shaofeng Wang +4 位作者 Wenjing Liu Luncai Zhou Erqing Zhang Ting Gao Grigory Petrishin 《Structural Durability & Health Monitoring》 2026年第1期302-316,共15页
In dry-coupled ultrasonic thickness measurement,thick rubber layers introduce high-amplitude parasitic echoes that obscure defect signals and degrade thickness accuracy.Existing methods struggle to resolve overlap-pin... In dry-coupled ultrasonic thickness measurement,thick rubber layers introduce high-amplitude parasitic echoes that obscure defect signals and degrade thickness accuracy.Existing methods struggle to resolve overlap-ping echoes under variable coupling conditions and non-stationary noise.This study proposes a novel dual-criterion framework integrating energy contribution and statistical impulsivity metrics to isolate specimen re-flections from coupling-layer interference.By decomposing A-scan signals into Intrinsic Mode Functions(IMFs),the framework employs energy contribution thresholds(>85%)and kurtosis indices(>3)to autonomously select IMFs containing valid specimen echoes.Hybrid time-frequency thresholding further suppresses interference through amplitude filtering and spectral focusing.Experimental results demonstrate the framework’s robustness,achieving 92.3%thickness accuracy for 5 mm steel specimens with 5 mm rubber coupling,outperforming conventional methods by up to 18.7%.The dual-criterion approach reduces operator dependency by 37%and maintainsΔT<0.03 mm under surface roughness up to 6.3μm,offering a practical solution for industrial nondestructive testing with thick dry-coupled interfaces. 展开更多
关键词 Empirical mode decomposition complete ensemble EMD with adaptive noise(CEEMDAN) dry-coupled ultrasonic testing thickness measurement signal interference suppression
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Reflection on Dialect Interference on Mandarin and the Second Language Acquisition of English Learners of Huangshi Dialect 被引量:1
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作者 张传枝 《英语广场(学术研究)》 2012年第7期42-45,共4页
Many findings have shown that positive and negative transfer from the first language influences the second language acquisition.Some observations illustrate that dialect incurs negative transfer on Mandarin learning.T... Many findings have shown that positive and negative transfer from the first language influences the second language acquisition.Some observations illustrate that dialect incurs negative transfer on Mandarin learning.Twenty-nine English learners of Huangshi dialect are surveyed about their living and education environment,their second language acquisition and Mandarin learning in an attempt to prove the existence of dialect interference on Mandarin and the second language acquisition and explain the reasons of the difference among dialect,Mandarin and the second language acquisition,based on sound analysis. 展开更多
关键词 Dialect interference MANDARIN SLA
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Differential Interference Angle of Collision-induced Rotational Energy Transfer in Na_2(A^1∑_u^+,v=8-b^3∏_(0u),v=14)-Na System
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作者 李健 李永庆 +1 位作者 王伟丽 马凤才 《Chinese Journal of Chemical Physics》 SCIE CAS CSCD 北大核心 2006年第6期469-472,共4页
Here wc report calculation of the differential interference angles (including b≤p gild b≥p ) for singlet-triplet mixed states of Na2(A^1∑u^+,ν=8-b^3∏0u,ν=14) system in collision with Na, in order to study t... Here wc report calculation of the differential interference angles (including b≤p gild b≥p ) for singlet-triplet mixed states of Na2(A^1∑u^+,ν=8-b^3∏0u,ν=14) system in collision with Na, in order to study the collision- induced quantum interference on rotational energy transfer in an atom-diatom system. The calculation is based on the first-order Born approximation of time-dependent perturbation theory, and the anisotropic Lennard-Jones intcraction potentials are also employed, The relationships between differential interference angle and impact parameter, including collision diameter and velocity, are obtained, 展开更多
关键词 Rotational energy transfer Collision induced quantum interference interference angle
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Mitigation of inter-cell interference in visible light communication 被引量:1
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作者 Agha Yasir Ali 张在琛 +1 位作者 Abdeldime M.S.Abdelgader 宗白庆 《Journal of Southeast University(English Edition)》 EI CAS 2015年第4期437-442,共6页
This paper proposes the orthogonal and nonorthogonal schemes in the interference environments for visible light communication( VLC) systems. The proposed schemes pay attention to the case when different bit streams ... This paper proposes the orthogonal and nonorthogonal schemes in the interference environments for visible light communication( VLC) systems. The proposed schemes pay attention to the case when different bit streams from multiple cells are simultaneously transmitted, which consequently causes inter-cell interference( ICI) and greatly deteriorates the bit error rate( BER) and channel capacity performance of the system. The performance of the newdeveloped multi-cell system in indoor VLC systems is evaluated. The bipolar phase shift keying( BPSK) modulation scheme with orthogonal pulses( OPs) for multiple cells environments is employed to mitigate the ICI problem and improve the BER and channel capacity performances. Since the use of different OPs in each cell requires more number of OPs, which requires high bandwidth, OPs are reused at certain distances. Three different schemes, which are OPs,orthogonal and non-orthogonal pulses( NOP) reuse, are compared. This paper investigates the impact of using these schemes and compared their performances in the ICI environments. The BER and channel capacity using the proposed schemes are comprehensively examined. Simulation and theoretical results showthat the OPs schemes are more effective in the interference areas of the room and significantly outperform NOP. 展开更多
关键词 visible light communication inter-cell interference orthogonal pulses
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Further Study of A-Related Quantum Interference of H-State Diatomic on Collision-Induced Rotational Energy Transfer 被引量:5
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作者 LI Yong-Qing SONG Peng +2 位作者 CHEN Yue-Hui WANG Wei-Li MA Feng-Cai 《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第2X期347-352,共6页
In our previous theoretical studies [Meng-Tao Sun, Yong-Qing Lee, and Feng-Cai Ma, Chem. Phys.Left. 371 (2003) 342], we have reported the quantum interference on collision-induced rotational energy transfer on CO (... In our previous theoretical studies [Meng-Tao Sun, Yong-Qing Lee, and Feng-Cai Ma, Chem. Phys.Left. 371 (2003) 342], we have reported the quantum interference on collision-induced rotational energy transfer on CO (A ^1 Π,v = 3) with inert gases, which originates from the difference between the two A-related collision potential energy surfaces. The interference angle, which measures the degree of coherence, is presented in this paper. Based on the time-dependent first order Born approximation, taking into account the anisotropic Lennard-Jones interaction potentials, the relation of the interference angle with the factors, including experimental temperature, partner, and rotational quantum number, are obtained. The changing tendencies with them are discussed. This theoretical model is important to understanding and performing this kind of experiment. 展开更多
关键词 quantum interference rotational energy transfer interference angle
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Narrow-band interference excision in spread-spectrum systems using new N-sigma algorithm based on fuzzy threshold 被引量:4
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作者 Feng Jining Wu Siliang Wang Ju 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2009年第1期20-26,共7页
The key to narrow-band interference excision in frequency domain is to determine the excision thresh- old in direct-sequence spread-spectrum (DS-SS) systems. The excision threshold is a non-linear function related t... The key to narrow-band interference excision in frequency domain is to determine the excision thresh- old in direct-sequence spread-spectrum (DS-SS) systems. The excision threshold is a non-linear function related to the number and the power of interference, and attempting to get the exact relation of threshold related to the number and the power of interference is almost impossible. The N-sigma algorithm determines the excision threshold using subsection function; however, the excision threshold determined by this method is not exact. A new method to determine the threshold of N-sigma algorithm is proposed. The new method modifies the scale factor N by use of the membership function. The threshold determined by this method is consecutive and smooth, and it is closer to the fact than that of the initial N-sigma algorithm. The GPS signal and single-tone (CW) interference (that is, typical narrow-band interference) are implemented in the simulation, and the results are presented to demonstrate the validity of the new algorithm. 展开更多
关键词 direct-sequence spread-spectrum systems adaptive frequency domain interference suppression fuzzyfunction GPS signal.
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CERTAIN NATIVE LANGUAGE INTERFERENCES IN SECOND LANGUAGE ACQUISITION 被引量:14
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作者 Zhao Dianxue (Department of Euglish, Sanning Teachers College) 《三明学院学报》 1999年第3期64-66,共3页
Here we refer the native language to Chinese and the second language to English especially college English. According to linguistic study, there are certain native language interferences in secondlanguage acquisition... Here we refer the native language to Chinese and the second language to English especially college English. According to linguistic study, there are certain native language interferences in secondlanguage acquisition when one is learning the second language,i. e. when a Chinese is learningEnglish, due to the influence of mother tongue which is habitually applied in learning the second language, his pronounciation, his grammar and his vocabulary are quite likely influencedor interfered by his native language or his dialect. Unfortunately, we did find certain first language interferences in our English teaching and learning processes on various items or subjects. 展开更多
关键词 NATIVE LANGUAGE interferenceS. SECOND LANGUAGE ACQUisi TION
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Measurement of Concentration Fields near the Interface of a Rising Bubble by Holographic Interference Technique 被引量:11
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作者 马友光 成弘 +1 位作者 YuGuocong 余国琮 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 1999年第4期363-367,共5页
holographic interference, concentration near the interface, bubble , mass transfer
关键词 holographic interference concentration near the interface BUBBLE mass transfer
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Collisional quantum interference on rotational energy transfer: physical interpretation of the differential interference angle 被引量:1
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作者 李永庆 李健 马凤才 《Chinese Physics B》 SCIE EI CAS CSCD 2006年第12期2920-2927,共8页
Collisional quantum interference (CQI) on the intramolecular rotational energy transfer is observed in an experiment with a static cell, and the integral interference angles are measured. To obtain more accurate inf... Collisional quantum interference (CQI) on the intramolecular rotational energy transfer is observed in an experiment with a static cell, and the integral interference angles are measured. To obtain more accurate information, an experiment with a molecular beam is carried out, and thereby the relationship between the differential interference angle and the scattering angle is obtained. Based on the first-Born approximation of time-dependent perturbation theory, the theoretical model of CQI is developed in an atom-diatom system in the condition of the molecular beam, with the long-range interaction potential taken into account. The method of measuring correctly the differential interference angle is presented. The tendencies of the differential interference angle changing with the impact parameter and rel- ative velocity are discussed. The theoretical model presented here is important for understanding or performing the experiment in the molecular beam. 展开更多
关键词 collisional quantum interference rotational energy transfer interference angle longrange interaction potential
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The differential interference angle of ~2Π [Case(a)] diatom on rotational energy transfer in NO (X^2Π ) collision with He,Ne and Ar system 被引量:1
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作者 李永庆 李健 +2 位作者 赵丽娜 倪艳清 马凤才 《Chinese Physics B》 SCIE EI CAS CSCD 2008年第10期3649-3654,共6页
To study theoretically the relationship between the differential interference angle and the scattering angle in collisional quantum interference (CQI), we have investigated the differential interference angle of the... To study theoretically the relationship between the differential interference angle and the scattering angle in collisional quantum interference (CQI), we have investigated the differential interference angle of the atom-diatomic [case(a)] molecule system in detail. For the 2∏ electronic state in Hund's case (a), the degree of the differential interference is also discussed. The differential interference angles of NO(X^2∏) are calculated quantitatively for the rotational energy transfer in Hund's case (a) induced by collision with He, Ne and Ar atoms. The method to calculate the differential interference angle is presented. Several factors that affect the differential interference angle are investigated. Finally the variation of the differential interference angle with the impact parameter and relative velocity is discussed. 展开更多
关键词 collisional quantum interference rotational energy transfer interference angle longrange interaction potential
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Narrow-band interference suppression in Time-Division-Duplex CDMA systems using preprocessing techniques 被引量:1
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作者 Paeiz Azmi Nooshin Tavakkoli 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2008年第5期893-895,共3页
This letter presents two preprocessing techniques for narrow-band interference (NBI) rejection in Time- Division-Duplex (TDD) CDMA systems. In the proposed methods, at the transmitter, by using Karhaunen-Loeve Tra... This letter presents two preprocessing techniques for narrow-band interference (NBI) rejection in Time- Division-Duplex (TDD) CDMA systems. In the proposed methods, at the transmitter, by using Karhaunen-Loeve Transform and Discrete Fourier Transform, the transmitted power is set to zero in the directions of the eigenvectors that will be severely contaminated by NBI; and therefore less part of the transmitted energy will be polluted by NBI in channel. The processing is transferred from receiver to transmitter, and thus the complexity of the receiver is significantly reduced. It is assumed that channel state information can be estimated at the transmitter because in symmetric TDD systems each receiver in turn also acts as a transmitter. 展开更多
关键词 CDMA narrow-band interference PRE-PROCESSING
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The differential interference angle in collisional quantum interference on rotational energy transfer 被引量:1
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作者 王伟丽 苗刚 +2 位作者 陈跃辉 唐丹 马凤才 《Chinese Physics B》 SCIE EI CAS CSCD 2008年第6期2078-2084,共7页
Collisional quantum interference (CQI) in the intramolecular rotational energy transfer was observed in experiment by Sha and co-workers. The interference angle, which measuring the degree of the coherence, were mea... Collisional quantum interference (CQI) in the intramolecular rotational energy transfer was observed in experiment by Sha and co-workers. The interference angle, which measuring the degree of the coherence, were measured in the experiment of the static cell. Based on the first Born approximation of time dependent perturbation theory, taking into accounts the anisotropic Lennard-Jones interaction potentials, this paper describes the theoretical model of CQI in intramolecular rotational energy transfer in an atom-diatom collision system. In the model, the differential interference angle for the experiment of the molecular beam is calculated, the changing tendencies of the differential interference angle with the impact parameter and collision partners are obtained. This theoretical model is important for understanding or performing this kind of experiments. 展开更多
关键词 rotational energy transfer differential interference angle collision parameter
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Joint Optimal Sensing Threshold and Subcarrier Power Allocation in Wideband Cognitive Radio for Minimising Interference to Primary User 被引量:3
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作者 刘鑫 贾敏 顾学迈 《China Communications》 SCIE CSCD 2013年第11期70-80,共11页
Cognitive Radio (CR) can use the fre- quency band allocated to a Primary User (PU) on the premise that it will prevent significant of avoiding causing great interference to the PU. In this paper, we consider a wid... Cognitive Radio (CR) can use the fre- quency band allocated to a Primary User (PU) on the premise that it will prevent significant of avoiding causing great interference to the PU. In this paper, we consider a wideband CR system where the Secondary User (SU) mini- raises its interference to the PU by jointly al- locating the optimal sensing threshold and sub- carrier power. A multi-parameter optimization problem is formulated to obtain the joint opt- imal allocation by alternating direction opti- mization, which minimises the total interfer- ence to the PU over all of the subcarriers sub- ject to the constraints on the throughput, Bit Error Rate (BER) and maximal total power of the SU, the subcarrier rate and interference power of the PU, and the false alarm and mis- detection probabilities of each subcarrier. The simulation results show that the proposed joint allocation algorithm can achieve the desired mitigation on the interference to the PU at the different subcarrier gains. 展开更多
关键词 cognitive radio energy detection power allocation interference
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Interference and grinding characteristics in ultra-precision grinding of thin-walled complex structural component using a ball-end grinding wheel 被引量:3
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作者 Tingzhang WANG Henan LIU +2 位作者 Chunya WU Jian CHEN Mingjun CHEN 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2021年第4期192-207,共16页
As for ultra-precision grinding of difficult-to-process thin-walled complex components with ball-end grinding wheels,interference is easy to occur.According to screw theory and grinding kinematics,a mathematical model... As for ultra-precision grinding of difficult-to-process thin-walled complex components with ball-end grinding wheels,interference is easy to occur.According to screw theory and grinding kinematics,a mathematical model is established to investigate the interference and grinding characteristics of the ball-end wheel.The relationship between grinding wheel inclination angle,C axis rotation angle,grinding position angle and grinding wheel wear are analyzed.As the grinding wheel inclination angle increases,the C axis rotatable range decreases and the grinding position angle increases.The grinding position angle and wheel radius wear show a negative correlation with the C axis rotation angle.Therefore,a trajectory planning criteria for increasing grinding speed as much as possible under the premise of avoiding interference is proposed to design the grinding trajectory.Then grinding point distribution on the ball-end wheel is calculated,and the grinding characteristics,grinding speed and maximum undeformed chip thickness,are investigated.Finally,a complex structural component can be ground without interference,and surface roughness and profile accuracy are improved to 40.2 nm and 0.399 lm,compared with 556 nm and 3.427 lm before ultra-precision grinding.The mathematical model can provide theoretical guidance for the analysis of interference and grinding characteristics in complex components grinding to improve its grinding quality. 展开更多
关键词 Ultra-precision grinding Complex component Ball-end grinding wheel interference Grinding characteristics
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