Eurasip Journal on Advances in Signal Processing最新文献

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The construction of Bert fusion model of speech recognition and sensing for South China electricity charge service scenario 华南收费服务场景语音识别与传感Bert融合模型的构建
4区 工程技术
Eurasip Journal on Advances in Signal Processing Pub Date : 2023-11-06 DOI: 10.1186/s13634-023-01073-4
Guangcai Wu, Yinglong Zheng
{"title":"The construction of Bert fusion model of speech recognition and sensing for South China electricity charge service scenario","authors":"Guangcai Wu, Yinglong Zheng","doi":"10.1186/s13634-023-01073-4","DOIUrl":"https://doi.org/10.1186/s13634-023-01073-4","url":null,"abstract":"Abstract Electric charge service and management is an important part of electric power work. The effective recovery of the electric charge relates to the smooth development of daily work and continuous improvement of the operation and management of power supply enterprises. With the large-scale implementation of the card prepayment system, the problem of electricity customers defaulting on electricity charges has been solved to a large extent, but some large electricity users still fail to pay electricity charges on time. Therefore, under the current situation of power grid development, it is still necessary to strengthen the service and management of electricity charges to promote efficient recovery of electricity charges. Speech recognition technology has increasingly become the focus of research institutions at home and abroad. People are committed to enabling machines to understand human speech instructions and hope to control the machine through speech. The research and development of speech recognition will greatly facilitate people's lives shortly. The development of 5G technology and the proposal of 6G technology make the interconnection of all things not only a hope but also a reality. To realize the interconnection of all things, one of the key technical breakthroughs is the development of a new human–computer interaction sensing system. Under the guidance of relevant theories and methods, this paper systematically analyzes the user structure, electricity charge recovery management and service system, existing problems and causes in South China, and clarifies the necessity of design and application of electricity charge service system in South China power supply companies. The experimental data and empirical analysis results show that the optimized Bert fusion model can provide more digital support for the power supply companies in South China in terms of electricity charge recovery efficiency, management level system improvement, and electricity charge service.","PeriodicalId":49203,"journal":{"name":"Eurasip Journal on Advances in Signal Processing","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135584463","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Tracking of moving human in different overlapping cameras using Kalman filter optimized 利用优化的卡尔曼滤波对不同重叠摄像机中的运动人进行跟踪
4区 工程技术
Eurasip Journal on Advances in Signal Processing Pub Date : 2023-11-06 DOI: 10.1186/s13634-023-01078-z
Seyed Mohammad Mehdi Yousefi, Seyed Saleh Mohseni, Hadi Dehbovid, Reza Ghaderi
{"title":"Tracking of moving human in different overlapping cameras using Kalman filter optimized","authors":"Seyed Mohammad Mehdi Yousefi, Seyed Saleh Mohseni, Hadi Dehbovid, Reza Ghaderi","doi":"10.1186/s13634-023-01078-z","DOIUrl":"https://doi.org/10.1186/s13634-023-01078-z","url":null,"abstract":"Abstract Tracking objects is a crucial problem in image processing and machine vision, involving the representation of position changes of an object and following it in a sequence of video images. Though it has a history in military applications, tracking has become increasingly important since the 1980s due to its wide-ranging applications in different areas. This study focuses on tracking moving objects with human identity and identifying individuals through their appearance, using an Artificial Neural Network (ANN) classification algorithm. The Kalman filter is an important tool in this process, as it can predict the movement trajectory and estimate the position of moving objects. The tracking error is reduced by weighting the filter using a fuzzy logic algorithm for each moving human. After tracking people, they are identified using the features extracted from the histogram of images by ANN. However, there are various challenges in implementing this method, which can be addressed by using Genetic Algorithm (GA) for feature selection. The simulations in this study aim to evaluate the convergence rate and estimation error of the filter. The results show that the proposed method achieves better results than other similar methods in tracking position in three different datasets. Moreover, the proposed method performs 8% better on average than other similar algorithms in night vision, cloud vision, and daylight vision situations.","PeriodicalId":49203,"journal":{"name":"Eurasip Journal on Advances in Signal Processing","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135590221","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Semi-tensor product-based one-bit compressed sensing 基于半张量积的位压缩感知
4区 工程技术
Eurasip Journal on Advances in Signal Processing Pub Date : 2023-11-03 DOI: 10.1186/s13634-023-01071-6
Jingyao Hou, Xinling Liu
{"title":"Semi-tensor product-based one-bit compressed sensing","authors":"Jingyao Hou, Xinling Liu","doi":"10.1186/s13634-023-01071-6","DOIUrl":"https://doi.org/10.1186/s13634-023-01071-6","url":null,"abstract":"Abstract The area of one-bit compressed sensing (1-bit CS) focuses on the recovery of sparse signals from binary measurements. Over the past decade, this field has witnessed the emergence of well-developed theories. However, most of the existing literature is confined to fully random measurement matrices, like random Gaussian and random sub-Gaussian measurements. This limitation often results in high generation and storage costs. This paper aims to apply semi-tensor product-based measurements to 1-bit CS. By utilizing the semi-tensor product, this proposed method can compress high-dimensional signals using lower-dimensional measurement matrices, thereby reducing the cost of generating and storing fully random measurement matrices. We propose a regularized model for this problem that has a closed-form solution. Theoretically, we demonstrate that the solution provides an approximate estimate of the underlying signal with upper bounds on recovery error. Empirically, we conduct a series of experiments on both synthetic and real-world data to demonstrate the proposed method’s ability to utilize a lower-dimensional measurement matrix for signal compression and reconstruction with enhanced flexibility, resulting in improved recovery accuracy.","PeriodicalId":49203,"journal":{"name":"Eurasip Journal on Advances in Signal Processing","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135819509","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Throughput maximization for irregular reconfigurable intelligent surface assisted NOMA systems 不规则可重构智能表面辅助NOMA系统的吞吐量最大化
4区 工程技术
Eurasip Journal on Advances in Signal Processing Pub Date : 2023-11-01 DOI: 10.1186/s13634-023-01076-1
Weilin Zhang, Lingyi Wang, Hangtao Mao, Zi Wang, Wei Wu
{"title":"Throughput maximization for irregular reconfigurable intelligent surface assisted NOMA systems","authors":"Weilin Zhang, Lingyi Wang, Hangtao Mao, Zi Wang, Wei Wu","doi":"10.1186/s13634-023-01076-1","DOIUrl":"https://doi.org/10.1186/s13634-023-01076-1","url":null,"abstract":"Abstract Reconfigurable intelligent surface (RIS) is an emerging technology to improve the spectral efficiency of wireless communication systems. However, the high complexity of beam design and the non-negligible overhead associated with RIS limit the number of elements that can be deployed in practice. In this paper, we investigate the downlink communications of irregularly deployed intelligent reflecting surfaces that assist non-orthogonal multiple access (NOMA) systems. To address this challenge, we propose a novel four-step resource allocation algorithm. Specifically, we first obtain a sub-optimal solution for the sparse deployment of RIS elements using a Simulated Annealing Algorithm. We then solve the power allocation problem by employing an integer optimization algorithm that continuously iterates the immobile point. To simplify and optimize the reflection coefficient matrix, we propose a construction inequality algorithm. Finally, we optimize the channel assignment using a genetic algorithm. The simulation results demonstrate that the proposed irregular RIS-assisted NOMA system outperforms the traditional RIS-assisted orthogonal multiple access system, with a maximum throughput increase of approximately 30%.","PeriodicalId":49203,"journal":{"name":"Eurasip Journal on Advances in Signal Processing","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135320792","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Deep learning-based DOA estimation for hybrid massive MIMO receive array with overlapped subarrays 基于深度学习的重叠子阵混合海量MIMO接收阵列DOA估计
4区 工程技术
Eurasip Journal on Advances in Signal Processing Pub Date : 2023-10-30 DOI: 10.1186/s13634-023-01074-3
Yifan Li, Baihua Shi, Feng Shu, Yaoliang Song, Jiangzhou Wang
{"title":"Deep learning-based DOA estimation for hybrid massive MIMO receive array with overlapped subarrays","authors":"Yifan Li, Baihua Shi, Feng Shu, Yaoliang Song, Jiangzhou Wang","doi":"10.1186/s13634-023-01074-3","DOIUrl":"https://doi.org/10.1186/s13634-023-01074-3","url":null,"abstract":"Abstract As massive MIMO is a key technology in the future sixth generation (6G), the large-scale antenna arrays are widely considered in direction-of-arrival (DOA) estimation for they can provide larger aperture and higher estimation resolution. However, the conventional fully digital architecture requires one radio-frequency (RF) chain per antenna, and this is challenging for the high hardware costs and much more power consumption caused by the large number of RF chains. Therefore, an overlapped subarray (OSA) architecture-based hybrid massive MIMO array is proposed to reduce the hardware costs, and it can also have better DOA estimation accuracy compared to non-overlapped subarray (NOSA) architecture. The simulation results also show that the accuracy of the proposed OSA architecture has $$6^{circ }$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:msup> <mml:mn>6</mml:mn> <mml:mo>∘</mml:mo> </mml:msup> </mml:math> advantage over the NOSA architecture with signal-to-noise ratio (SNR) at 10 dB. In addition, to improve the DOA estimation resolution, a deep learning (DL)-based estimator is proposed by combining convolution denoise autoencoder (CDAE) and deep neural network (DNN), where CDAE can remove the approximation error of sample covariance matrix (SCM) and DNN is used to perform high-resolution DOA estimation. From the simulation results, CDAE-DNN can achieve the accuracy lower bound at $$textrm{SNR}=-8$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mtext>SNR</mml:mtext> <mml:mo>=</mml:mo> <mml:mo>-</mml:mo> <mml:mn>8</mml:mn> </mml:mrow> </mml:math> dB and the number of snapshots $$N=100$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mi>N</mml:mi> <mml:mo>=</mml:mo> <mml:mn>100</mml:mn> </mml:mrow> </mml:math> , this means it has better performance in poor communication situation and can save more software resources compared to conventional estimators.","PeriodicalId":49203,"journal":{"name":"Eurasip Journal on Advances in Signal Processing","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136103932","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Ris-aided integrated satellite duplex UAV relay terrestrial networks with imperfect hardware and co-channel interference ris辅助集成卫星双工无人机中继地面网络,硬件不完善和同信道干扰
4区 工程技术
Eurasip Journal on Advances in Signal Processing Pub Date : 2023-10-28 DOI: 10.1186/s13634-023-01067-2
Jiu Sun, Kefeng Guo, Feng Zhou, Xueling Wang, Mingfu Zhu
{"title":"Ris-aided integrated satellite duplex UAV relay terrestrial networks with imperfect hardware and co-channel interference","authors":"Jiu Sun, Kefeng Guo, Feng Zhou, Xueling Wang, Mingfu Zhu","doi":"10.1186/s13634-023-01067-2","DOIUrl":"https://doi.org/10.1186/s13634-023-01067-2","url":null,"abstract":"Abstract Increasing the spectrum and time utilization rate is the goal of the next wireless communication networks. This work studies the outage performance of the reconfigurable intelligent surface (RIS)-aided integrated satellite duplex unmanned-aerial-vehicle relay terrestrial networks. Especially, the RIS is installed in the tall building to enhance the communication. To further increase the time utilization rate, the duplex unmanned aerial vehicle is utilized to enhance the time utilization efficiency. However, owing to the practical reasons, the imperfect hardware and co-channel interference are further researched in this paper. Particularly, the accurate expression for the outage probability (OP) is gotten to confirm the effects of RIS parameters, channel parameters and imperfect hardware on the considered network. To gain more insights of the OP at high signal-to-noise ratios, the asymptotic analysis for the OP is derived. Finally, some Monte Carlo simulations are provided to verify the rightness of the theoretical analysis. The simulations indicate that the OP is mainly judged by the satellite transmission link. The results also indicate that although RIS can enhance the system performance, the system performance is not decided by RIS.","PeriodicalId":49203,"journal":{"name":"Eurasip Journal on Advances in Signal Processing","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136158568","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An improved wavelet threshold denoising approach for surface electromyography signal 一种改进的小波阈值去噪方法用于表面肌电信号
4区 工程技术
Eurasip Journal on Advances in Signal Processing Pub Date : 2023-10-25 DOI: 10.1186/s13634-023-01066-3
Chuanyun Ouyang, Liming Cai, Bin Liu, Tianxiang Zhang
{"title":"An improved wavelet threshold denoising approach for surface electromyography signal","authors":"Chuanyun Ouyang, Liming Cai, Bin Liu, Tianxiang Zhang","doi":"10.1186/s13634-023-01066-3","DOIUrl":"https://doi.org/10.1186/s13634-023-01066-3","url":null,"abstract":"Abstract Background The surface electromyography (sEMG) signal presents significant challenges for the dynamic analysis and subsequent examination of muscle movements due to its low signal energy, broad frequency distribution, and inherent noise interference. However, the conventional wavelet threshold filtering techniques for sEMG signals are plagued by the Gibbs-like phenomenon and an overall decrease in signal amplitude, leading to signal distortion. Purpose This article aims to establish an improved wavelet thresholding method that can filter various types of signals, with a particular emphasis on sEMG signals, by adjusting two independent factors. Hence, it generates the filtered signal with a higher signal-to-noise ratio (SNR), a lower mean square error (MSE), and better signal quality. Results After denoising Doppler and Heavysine signals, the filtered signal exhibits a higher SNR and lower MSE than the signal generated from traditional filtering algorithms. The filtered sEMG signal has a lower noise baseline while retaining the peak sEMG signal strength. Conclusion The empirical evaluation results show that the quality of the signal processed by the new noise reduction algorithm is better than the traditional hard thresholding, soft thresholding, and Garrote thresholding methods. Moreover, the filtering performance on the sEMG signal is improved significantly, which enhances the accuracy and reliability of subsequent experimental analyses.","PeriodicalId":49203,"journal":{"name":"Eurasip Journal on Advances in Signal Processing","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135170214","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A wavelet selection scheme in underwater discharge signal analysis 水下放电信号分析中的小波选择方法
4区 工程技术
Eurasip Journal on Advances in Signal Processing Pub Date : 2023-10-24 DOI: 10.1186/s13634-023-01065-4
Xiaobing Zhang, Binjie Lu, Liang Qiao
{"title":"A wavelet selection scheme in underwater discharge signal analysis","authors":"Xiaobing Zhang, Binjie Lu, Liang Qiao","doi":"10.1186/s13634-023-01065-4","DOIUrl":"https://doi.org/10.1186/s13634-023-01065-4","url":null,"abstract":"Abstract The analysis of underwater discharge signals is of great significance for its application. Wavelet-based de-noising and analysis technology is an effective means to study underwater discharge signals. The selection of wavelets is the key to the accuracy of wavelet analysis. A scheme of wavelet selection is provided in this paper. Based on the signal characteristics and actual noise, the reference target signal and noisy signal are constructed to ensure the accuracy of wavelet performance evaluation. Cross-correlation coefficient, root mean square error, signal-to-noise ratio, and smoothness are chosen as evaluation indexes and fused by the coefficient of variation method. The selected optimal wavelet is used to process the underwater wire-guided discharge signals. The results show that the scheme is feasible and practical.","PeriodicalId":49203,"journal":{"name":"Eurasip Journal on Advances in Signal Processing","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135267518","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Fast algorithms for band-limited extrapolation by over sampling and Fourier series 基于过采样和傅立叶级数的带限外推快速算法
4区 工程技术
Eurasip Journal on Advances in Signal Processing Pub Date : 2023-10-24 DOI: 10.1186/s13634-023-01060-9
Weidong Chen
{"title":"Fast algorithms for band-limited extrapolation by over sampling and Fourier series","authors":"Weidong Chen","doi":"10.1186/s13634-023-01060-9","DOIUrl":"https://doi.org/10.1186/s13634-023-01060-9","url":null,"abstract":"Abstract In this paper, fast algorithms for the extrapolation of band-limited signals are presented by the sampling theorem and Fourier series in the case of over sampling. Assume the band-limited signal is known in a finite interval. We update the signal outside the interval by the Shannon sampling theorem in the case of over sampling. Then we obtain a fast algorithm in the form of Fourier series instead of the Fourier transform in the Papoulis–Gerchberg algorithm. Gibbs phenomena is analyzed in the method. An algorithm is presented to control the Gibbs phenomena, and some examples are given in the experimental results.","PeriodicalId":49203,"journal":{"name":"Eurasip Journal on Advances in Signal Processing","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135273750","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Joint channel and impulse noise estimation based on compressed sensing and Kalman filter for OFDM system 基于压缩感知和卡尔曼滤波的OFDM系统联合信道和脉冲噪声估计
4区 工程技术
Eurasip Journal on Advances in Signal Processing Pub Date : 2023-10-21 DOI: 10.1186/s13634-023-01064-5
Yiting Zhao, Youming Li, Shoudong Shi, Jianding Yu
{"title":"Joint channel and impulse noise estimation based on compressed sensing and Kalman filter for OFDM system","authors":"Yiting Zhao, Youming Li, Shoudong Shi, Jianding Yu","doi":"10.1186/s13634-023-01064-5","DOIUrl":"https://doi.org/10.1186/s13634-023-01064-5","url":null,"abstract":"Abstract Impulse noise (IN) widely exists in many communication systems, which seriously affects the performance of OFDM communication systems. A joint channel and IN estimation method based on all subcarriers is designed. This method uses a sparse Bayesian learning (SBL) algorithm incorporating forward–backward Kalman filter (FB-Kalman) to tackle the problem of joint channel and IN estimation and data detection for OFDM systems. Firstly, the channel impulse response and IN are regarded as unknown sparse vectors, and a SBL framework using all subcarriers is proposed to estimate the unknown vector. The SBL theory is used based on the prior distribution of variables, and then the forward–backward joint system is established, which applies the data detection simultaneously. We also propose the FB-Kalman implementation algorithm by using the expectation maximization updates. Explicit expressions of mean and covariance matrix of the posterior distribution are derived in the E-step. Simulation results show that the proposed algorithm improves the normalized mean square error and bit error rate performance of OFDM system in the presence of IN communication environment.","PeriodicalId":49203,"journal":{"name":"Eurasip Journal on Advances in Signal Processing","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135512057","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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