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Optimal transmissions for space-time coded OFDM UWB systems
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作者 WANG Jun-fang ZHU Guang-xi JIN Jiang 《通信学报》 EI CSCD 北大核心 2005年第10期29-33,共5页
The emerging ultra-wideband (UWB) system offers a great potential for the design of high-speed short-range communications.Compared with great progress at physical layer,the corresponding medium access control (MAC) la... The emerging ultra-wideband (UWB) system offers a great potential for the design of high-speed short-range communications.Compared with great progress at physical layer,the corresponding medium access control (MAC) layer designs are naturally placed on the schedules.We focus on the optimal power load scheme,which is an integral part of the MAC layer protocol design,for UWB space-time coded (STC) orthogonal frequency-division multiplexing (OFDM) transmissions.Assumed the transmitter has perfect or partial channel stage information (CSI).Based on the optimization criteria of maximizing capacity,three kinds of power load schemes were presented with different tradeoff among performance,complexity and feedback bandwidth overhead.The proposed schemes are verified and compared under the channel prototype proposed by IEEE 802.15.3a Task Group. 展开更多
关键词 UWB系统 传输模式 时空编码 多路技术 OFDM 媒介访问控制
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Differential modulation based on space-time block codes
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作者 李正权 胡光锐 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2004年第3期407-412,共6页
A differential modulation scheme using space-time block codes is put forward. Compared with other schemes, our scheme has lower computational complexity and has a simpler decoder. In the case of three or four transmit... A differential modulation scheme using space-time block codes is put forward. Compared with other schemes, our scheme has lower computational complexity and has a simpler decoder. In the case of three or four transmitter antennas, our scheme has a higher rate a higher coding gain and a lower bit error rate for a given rate. Then we made simulations for space-time block codes as well as group codes in the case of two, three, four and five transmit antennas. The simulations prove that using two transmit antennas, one receive antenna and code rate of 4 bits/s/Hz, the differential STBC method outperform the differential group codes method by 4 dB. Useing three, four and five transmit antennas, one receive antenna, and code rate of 3 bits/s/Hz are adopted, the differential STBC method outperform the differential group codes method by 5 dB, 6. 5 dB and 7 dB, respectively. In other words, the differential modulation scheme based on space-time block code is better than the corresponding differential modulation scheme 展开更多
关键词 space-time block code coding gain differential modulation bit error rate.
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Joint channel estimation and symbol detection for space-time block code
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作者 单淑伟 罗汉文 宋文涛 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2004年第3期266-269,共4页
The simplified joint channel estimation and symbol detection based on the EM (expectation-maximization) algorithm for space-time block code (STBC) are proposed. By assuming channel to be invariant within only one STBC... The simplified joint channel estimation and symbol detection based on the EM (expectation-maximization) algorithm for space-time block code (STBC) are proposed. By assuming channel to be invariant within only one STBC word and utilizing the orthogonal structure of STBC, the computational complexity and cost of this algorithm are both very low, so it is very suitable to implementation in real systems. 展开更多
关键词 space-time block code expectation-maximization algorithm channel estimation symbol detection.
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Figma2Code:面向Figma设计稿的自动代码生成方法
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作者 朱琳 封颖超杰 +8 位作者 朱航 王斯加 朱闽峰 喻晨昊 张钰荟 许达兴 赵德明 冯玉君 陈为 《计算机辅助设计与图形学学报》 北大核心 2025年第2期321-329,共9页
设计类创作工具已被广泛用于提高用户界面的设计效率,然而,根据设计稿开发代码是一件耗时费力的工作.针对现有的设计稿自动转代码的方案面临的代码可用性和复现结果准确性等问题,基于Figma设计工具提出一种自动代码生成方法——Figma2Co... 设计类创作工具已被广泛用于提高用户界面的设计效率,然而,根据设计稿开发代码是一件耗时费力的工作.针对现有的设计稿自动转代码的方案面临的代码可用性和复现结果准确性等问题,基于Figma设计工具提出一种自动代码生成方法——Figma2Code.首先,通过节点和图层优化提高设计稿元数据质量;其次,采用元数据标注信息的语义理解和图像识别技术识别组件;然后构建一套通用型的中间态数据结构,表示优化后的元数据和识别后的组件属性,以支持多种代码语言的生成;最后,基于模板生成可用代码,并通过函数抽取和元素循环输出提高代码可用性.采用生成代码的复现样式准确度量化评估和基于专家经验的代码可用性定性评估,证明了所提方法的有效性. 展开更多
关键词 设计稿转代码 逆向工程 用户界面 深度学习
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Blind recognition of polar code parameters based on log-likelihood ratio
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作者 ZHONG Zhaogen XIE Cunxiang JIN Kun 《Journal of Systems Engineering and Electronics》 2025年第3期642-658,共17页
The syndrome a posteriori probability of the log-likelihood ratio of intercepted codewords is used to develop an algorithm that recognizes the polar code length and generator matrix of the underlying polar code.Based ... The syndrome a posteriori probability of the log-likelihood ratio of intercepted codewords is used to develop an algorithm that recognizes the polar code length and generator matrix of the underlying polar code.Based on the encoding structure,three theorems are proved,two related to the relationship between the length and rate of the polar code,and one related to the relationship between frozen-bit positions,information-bit positions,and codewords.With these three theorems,polar codes can be quickly reconstruced.In addition,to detect the dual vectors of codewords,the statistical characteristics of the log-likelihood ratio are analyzed,and then the information-and frozen-bit positions are distinguished based on the minimumerror decision criterion.The bit rate is obtained.The correctness of the theorems and effectiveness of the proposed algorithm are validated through simulations.The proposed algorithm exhibits robustness to noise and a reasonable computational complexity. 展开更多
关键词 code length frozen-bit position information-bit position log-likelihood ratio polar code
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A methodology to simulate interior and intermediate ballistics with dynamic mesh technique and lumped parameter code
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作者 G.Guermonprez T.Gaillard +2 位作者 J.Dupays J.Anthoine R.Demarthon 《Defence Technology(防务技术)》 2025年第7期447-464,共18页
The aim of this paper is to simulate and study the early moments of the reactive ballistics of a large caliber projectile fired from a gun,combining 0D and 2D axisymmetric Computational Fluid Dynamics(CFD)approaches.F... The aim of this paper is to simulate and study the early moments of the reactive ballistics of a large caliber projectile fired from a gun,combining 0D and 2D axisymmetric Computational Fluid Dynamics(CFD)approaches.First,the methodology is introduced with the development of an interior ballistics(IB)lumped parameter code(LPC),integrating an original image processing method for calculating the specific regression of propellant grains that compose the gun propellant.The ONERA CFD code CEDRE,equipped with a Dynamic Mesh Technique(DMT),is then used in conjunction with the developed LPC to build a dedicated methodology to calculate IB.First results obtained on the AGARD gun and 40 mm gun test cases are in a good agreement with the existing literature.CEDRE is also used to calculate inter-mediate ballistics(first milliseconds of free flight of the projectile)with a multispecies and reactive approach either starting from the gun muzzle plane or directly following IB.In the latter case,an inverse problem involving a Latin hypercube sampling method is used to find a gun propellant configuration that allows the projectile to reach a given exit velocity and base pressure when IB ends.The methodology developed in this work makes it possible to study the flame front of the intermediate flash and depressurization that occurs in a base bleed(BB)channel at the gun muzzle.Average pressure variations in the BB channel during depressurization are in good agreement with literature. 展开更多
关键词 Intermediate ballistics Interior ballistics(IB) Lumped parameter code(LPC) Form function Dynamic mesh
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基于space-time的二叉树表示动态环境中的路径规划
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作者 唐平 何卓华 杨宜民 《计算机工程》 CAS CSCD 北大核心 2002年第5期59-60,74,共3页
研究具有空间和时间的三维动态环境下的机器人路径规划分析了四叉树表示二维空间的搜索算法,在此基础上,提出采space-time,用二叉树表示二维空间的方法时间信息中增加加速度利用二叉树遍历方法和算法设计一个在动态障碍物环境下进行路... 研究具有空间和时间的三维动态环境下的机器人路径规划分析了四叉树表示二维空间的搜索算法,在此基础上,提出采space-time,用二叉树表示二维空间的方法时间信息中增加加速度利用二叉树遍历方法和算法设计一个在动态障碍物环境下进行路径规划的新算法并,,A*,,在足球机器人系统中进行仿真,实现了较好的路径规划。 展开更多
关键词 移动机器人 数据结构 space-time 二叉树 动态环境 路径规划
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Range walk and array rotation in space-time adaptive processing:effects and compensations 被引量:2
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作者 Jinping Sun Guohua Wang Shiyi Mao 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2010年第4期537-543,共7页
This paper proposes a unified clutter model incorporating the effects of range walk and array rotation for space-time adaptive processing(STAP) in airborne multi-channel early-warning radar.Based on this clutter mod... This paper proposes a unified clutter model incorporating the effects of range walk and array rotation for space-time adaptive processing(STAP) in airborne multi-channel early-warning radar.Based on this clutter model,STAP performance is then analyzed from the perspective of covariance matrix tapering(CMT).For STAP performance degradation due to array rotation,a determinate compensation method is proposed based on the CMT method.Numerical examples are provided to verify the analysis and the proposed compensation method. 展开更多
关键词 RADAR space-time adaptive processing CLUTTER covariance matrix tapering.
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Direct data domain approach to space-time adaptive processing 被引量:2
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作者 Wen Xiaoqin Han Chongzhao 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2006年第1期59-64,共6页
In non-homogeneous environment, traditional space-time adaptive processing doesn't effectively suppress interference and detect target, because the secondary data don' t exactly reflect the statistical characteristi... In non-homogeneous environment, traditional space-time adaptive processing doesn't effectively suppress interference and detect target, because the secondary data don' t exactly reflect the statistical characteristic of the range cell under test. A ravel methodology utilizing the direct data domain approach to space-time adaptive processing ( STAP ) in airbome radar non-homogeneous environments is presented. The deterministic least squares adaptive signal processing technique operates on a "snapshot-by-snapshot" basis to dethrone the adaptive adaptive weights for nulling interferences and estimating signal of interest (SOI). Furthermore, this approach eliminates the requirement for estimating the covariance through the data of neighboring range cell, which eliminates calculating the inverse of covariance, and can be implemented to operate in real-time. Simulation results illustrate the efficiency of interference suppression in non-homogeneous environment. 展开更多
关键词 space-time adaptive processing direct data domain interference suppression.
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Spatiotemporal interpolation of precipitation across Xinjiang, China using space-time CoKriging 被引量:1
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作者 HU Dan-gui SHU Hong 《Journal of Central South University》 SCIE EI CAS CSCD 2019年第3期684-694,共11页
In various environmental studies, geoscience variables not only have the characteristics of time and space, but also are influenced by other variables. Multivariate spatiotemporal variables can improve the accuracy of... In various environmental studies, geoscience variables not only have the characteristics of time and space, but also are influenced by other variables. Multivariate spatiotemporal variables can improve the accuracy of spatiotemporal estimation. Taking the monthly mean ground observation data of the period 1960–2013 precipitation in the Xinjiang Uygur Autonomous Region, China, the spatiotemporal distribution from January to December in 2013 was respectively estimated by space-time Kriging and space-time CoKriging. Modeling spatiotemporal direct variograms and a cross variogram was a key step in space-time CoKriging. Taking the monthly mean air relative humidity of the same site at the same time as the covariates, the spatiotemporal direct variograms and the spatiotemporal cross variogram of the monthly mean precipitation for the period 1960–2013 were modeled. The experimental results show that the space-time CoKriging reduces the mean square error by 31.46% compared with the space-time ordinary Kriging. The correlation coefficient between the estimated values and the observed values of the space-time CoKriging is 5.07% higher than the one of the space-time ordinary Kriging. Therefore, a space-time CoKriging interpolation with air humidity as a covariate improves the interpolation accuracy. 展开更多
关键词 space-time CoKriging product-sum model VARIOGRAM PRECIPITATION interpolation
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Power control scheme for multiple antenna systems with space-time coding in Rayleigh fading channels
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作者 Xiangbin Yu Guangguo Bi 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2011年第5期730-738,共9页
Two optimal power control (PC) schemes under the power constraint for space-time coded multiple input multiple output systems over the flat Rayleigh fading channel with the imperfect channel state information (CSI... Two optimal power control (PC) schemes under the power constraint for space-time coded multiple input multiple output systems over the flat Rayleigh fading channel with the imperfect channel state information (CSI) are presented. One is based on the minimization of a bit error rate (BER), and the other is based on the maximization of a fuzzy signal-to-noise ratio. In these schemes, different powers are allocated to individual transmit an- tennas rather than equal power in the conventional one. For the first scheme, the optimal PC procedure is developed. It is shown that the Lagrange multiplier for the constrained optimization in the power control does exist and is unique. A practical iterative algorithm based on Newton's method for finding the Lagrange multiplier is proposed. In the second scheme, some existing schemes are included, and a suboptimal PC procedure is developed by means of the asymptotic performance analysis. With this suboptimal scheme, a simple PC calculation formula is provided, and thus the calculation of the PC will be straightforward. Moreover, the suboptimal scheme has the BER performance close to the optimal scheme. Simulation results show that the two PC schemes can provide BER lower than the equal PC and antenna selection scheme under the imperfect CSI. 展开更多
关键词 power control (PC) space-time coding imperfect channel state information (CSI) bit error rate (BER) signal-to- noise ratio (SNR).
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Improved scheme with cooperative diversity based on distributed space-time block coding
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作者 Du Na Xu Dazhuan 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2009年第3期463-469,共7页
An improved scheme with cooperative diversity based on distributed space-time block coding (WCD- DSTBC) is proposed, which effectively achieves diversity gains and improves the performance of the system by sharing s... An improved scheme with cooperative diversity based on distributed space-time block coding (WCD- DSTBC) is proposed, which effectively achieves diversity gains and improves the performance of the system by sharing some single-antenna users' antennas to form a virtual antenna array and combining with distributed spacetime block coding (DSTBC) mode. Then the relation between the system BER and the interuser BER for WCDDSTBC scheme is theoretically derived and the closed-form expression of BER for WCD-DSTBC system is obtained. The simulation results show that the proposed WCD-DSTBC scheme achieves distinct gains over the non-cooperative multi-carrier CDMA (MC-CDMA) system. When system BER is le-3 and interuser BER is le-3, about 2.5 dB gain can be gotten. When interuser channel state information (CSI) outgoes the users' individual CSI, about 3 dB gain is also achieved. 展开更多
关键词 multiple input multiple output cooperative diversity distributed space-time block coding multicarrier CDMA.
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Efficient spread space-time block coding scheme in multiple antenna systems
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作者 Qiu Ling Zheng Xiayu 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2006年第2期258-262,共5页
Space-time coding is an important technique that can improve transmission performance at fading environments in mobile communication systems. In this paper, we propose a novel diversity scheme using spread spacetime b... Space-time coding is an important technique that can improve transmission performance at fading environments in mobile communication systems. In this paper, we propose a novel diversity scheme using spread spacetime block coding (SSTBC) in multiple antenna systems. At the transmitter, the primitive data are serial to parallel converted to multiple data streams, and each stream is rotated in constellation. Then Walsh codes are used to spread each symbol to all antenna space in a space-time block. The signals received from all receiver antennas are combined with the maximum ratio combining (MRC), equalized with linear equalizer to eliminate the inter-code interference and finally demodulated to recover to transmit data by using the one-symbol maximum likelihood detector. The proposed scheme does not sacrifice the spectrum efficiency meanwhile maintains the transceiver with low complexity. Owing to the transmission symbols of different transmit antennas passing through all the spatial subchannels between transceiver antenna pairs, the system obtains the partial additional space diversity gain of all spatial paths. It is also shown that the diversity gain is better than the previous space-time block coding (STBC) schemes with full transmission rate. 展开更多
关键词 multiple antennas spread space-time block coding (SSTBC) DIVERSITY full transmission rate.
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Multi-dimensional ambiguity function for subarray-based space-time coding radar
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作者 LAN Lan LIAO Guisheng +1 位作者 XU Jingwei WANG Hanbing 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2019年第5期886-896,共11页
Space-time coding radar has been recently proposed and investigated.It is a radar framework which can perform transmit beamforming at the receiver.However,the range resolution decreases when the number of the transmit... Space-time coding radar has been recently proposed and investigated.It is a radar framework which can perform transmit beamforming at the receiver.However,the range resolution decreases when the number of the transmit element increases.A subarray-based space-time coding(sub-STC)radar is explored to alleviate the range resolution reduction.For the proposed radar configuration,an identical waveform is transmitted and it introduces a small time offset in different subarrays.The multidimensional ambiguity function of sub-STC radar is defined by considering resolutions in multiple domains including the range,Doppler,angle and probing direction.Analyses on properties of the multi-dimensional ambiguity function of the sub-STC radar with regard to the spatial coverage,resolution performance and low sidelobes are also given.Results reveal that the range resolution and low sidelobes performance are improved with the proposed approach. 展开更多
关键词 space-time coding RADAR MULTI-DIMENSIONAL AMBIGUITY function range resolution wide spatial coverage SUBARRAY SIDELOBE
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Joint DOA and time delay estimation method for space-time coherent distributed signals based on search 被引量:1
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作者 Qian Bin Yang Wanlin Wan Qun 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2007年第2期341-346,共6页
Under dense urban fading environment, performance of joint multi-path parameter estimation method based on traditional point signal model degrades seriously. In this paper, a new space and time signal model based on m... Under dense urban fading environment, performance of joint multi-path parameter estimation method based on traditional point signal model degrades seriously. In this paper, a new space and time signal model based on multipath distribution function is given after new space and time manifold is reconstructed. Then joint spacetime signal subspace is obtained by converting acquired channel from time domain to frequency domain .Then space and time spectrum is formulated by the space sub-matrix and time sub-matrix taken out of joint space-time signal subspace, and parameters are estimated by searching the minimum eigenvalues of the space matrix and the time matrix. Lastly, A space and time parameters matching process is performed by using the orthogonal property between joint noise subspace and the space-time manifold. In contrast with tradition MUSIC, the algorithm we present here only need two 1- dimension searching and was not sensitive to different distribution function. 展开更多
关键词 space-time coherent distribution DOA Relative time delay Minimum eigenvalue.
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Equivalent Joint Space-Time Multiuser Detection for Uplink ISI-Corrupted Multicarrier CDMA Systems with Arbitrary Antenna Arrays
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作者 Wu Xiaojun, Yin Qinye & Zeng Ming School of Electronics and Information Engineering, Xi’an Jiaotong University, Xi’an 710049, P. R. China 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2002年第4期8-16,共9页
The multicarrier code division multiple access (MC-CDMA) systems without cyclic prefix (CP) hold a fine spectral efficiency though they are unavoidably corrupted by the intersymbol interference (ISI) over the finite i... The multicarrier code division multiple access (MC-CDMA) systems without cyclic prefix (CP) hold a fine spectral efficiency though they are unavoidably corrupted by the intersymbol interference (ISI) over the finite impulse response (FIR) channel. We call MC-CDMA systems without CP the ISI-corrupted MC-CDMA systems in some sense. Considering the fact that combining antenna arrays with so-called ISI-corrupted MC-CDMA systems is advantageous in suppressing cochannel interference in cellular communication systems, this paper investigates ISI-corrupted MC-CDMA systems with base station antenna arrays. Joint space-time multiuser detection (MUD) schemes for DS-CDMA systems with antenna arrays have drawn much attention recently. Based upon them, we can derive the equivalent joint spatial-temporal MUD scheme for ISI-corrupted MC-CDMA systems with antenna arrays. In order to achieve this goal, an equivalent space-time estimation method of uplink vector channel is first derived for the ISI-corrupted MC-CDMA system with the arbitrary antenna array over frequency-selective fading channels. Then, based on the estimated equivalent space-time channel, an equivalent joint space-time multiuser detector is constructed. Computer simulations illustrate that our algorithm is more robust against noise and can well mitigate multiple access interference (MAI) in multiuser scenarios. 展开更多
关键词 Algorithms Antenna arrays code division multiple access Computer simulation
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Agents in branching space-times
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作者 Nuel Belnap 《中山大学学报(社会科学版)》 CSSCI 北大核心 2003年第S1期147-166,共20页
The aim of this essay Is to make some brief suggestions on the beginnings of a theory of agentsand agency In branching spacetlmes.foe thought Is to combine the ideas of agency as developed agalnst the relatively simpl... The aim of this essay Is to make some brief suggestions on the beginnings of a theory of agentsand agency In branching spacetlmes.foe thought Is to combine the ideas of agency as developed agalnst the relatively simple background of branching time with the richer notions of Indetermlnlsm asstructured In the theory of branching space-times.My plan Is to say a little about agency In branchingtime and a little about branchlg spacetlmes,and then ask how the two can be brought together.Atthe end there Is an ... 展开更多
关键词 in or IT that Agents in branching space-times of FORM
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Efficient unequal error protection for online fountain codes 被引量:1
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作者 SHI Pengcheng WANG Zhenyong +1 位作者 LI Dezhi LYU Haibo 《Journal of Systems Engineering and Electronics》 SCIE CSCD 2024年第2期286-293,共8页
In this paper,an efficient unequal error protection(UEP)scheme for online fountain codes is proposed.In the buildup phase,the traversing-selection strategy is proposed to select the most important symbols(MIS).Then,in... In this paper,an efficient unequal error protection(UEP)scheme for online fountain codes is proposed.In the buildup phase,the traversing-selection strategy is proposed to select the most important symbols(MIS).Then,in the completion phase,the weighted-selection strategy is applied to provide low overhead.The performance of the proposed scheme is analyzed and compared with the existing UEP online fountain scheme.Simulation results show that in terms of MIS and the least important symbols(LIS),when the bit error ratio is 10-4,the proposed scheme can achieve 85%and 31.58%overhead reduction,respectively. 展开更多
关键词 online fountain code random graph unequal error protection(UEP) rateless code
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Novel time-frequency differential space-time modulation for multi-antenna OFDM systems
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作者 Tian Jifeng Jiang Haining Song Wentao Luo Hanwen Xu Youyun 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2006年第1期54-58,共5页
Differential space-time (DST) modulation has been proposed recently for multiple-antenna systems over Rayleigh fading channels, where neither the transmitter nor the receiver knows the fading coefficients. Among exi... Differential space-time (DST) modulation has been proposed recently for multiple-antenna systems over Rayleigh fading channels, where neither the transmitter nor the receiver knows the fading coefficients. Among existing schemes, differential modulation is always performed in the time domain and suffers performance degradations in frequency-selective fading channels. In order to combat the fast time and frequency-selective fading, a novel time-frequency differential space-time (TF-DST) modulation scheme, which adopts differential modulation in both time and frequency domains, is proposed for multi-antenna orthogonal frequency division multiplexing (OFDM) system. A corresponding suboptimal yet low-complexity non-coherent detection approach is also proposed. Simulation results demonstrate that the proposed system is robust for time and frequency-selective Rayleigh fading channels. 展开更多
关键词 differential space-time modulation MIMO OFDM time-varying channel.
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Flat Space-Time and Motion in Gravitational Field
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作者 Zhang Junhao Chen Xiang (Department of Physics, Shantou University Shantou, Guangdong 515063, P. R. China) 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 1995年第4期273-284,共12页
Two fundamental hypotheses of special relativistic gravitational theory are: (1) the equivalence of gravitational mass and inertial mass, (2) the equation of the gravitational tensor potential in linear approximat... Two fundamental hypotheses of special relativistic gravitational theory are: (1) the equivalence of gravitational mass and inertial mass, (2) the equation of the gravitational tensor potential in linear approximation. Main results: (1) the values of the planetary perihelion shill, and the angle of deflection of light are the same as those of general relativity. The value of the red shill is consistent with the experiment. One cannot use these experimental values to judge whether space-time is curved. (2) In GP-B experiment, the gyroscope will be acted on by the additional gravitational fields due to the Earth's spin (S) and the orbital motion of satellite (L). The average precession rates are , where β and δ are the gyroscope's polar angles, (S) and (G) designate values deduced from special and general relativity, respectively. The GP-B experiment is the first one to judge whether space-time is flat. 展开更多
关键词 GRAVITY Coupling coefficient Tensor potential Flat space-time.
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