IEEE Embedded Systems Letters最新文献

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Real-Time Tomato Quality Assessment Using Hybrid CNN-SVM Model 使用混合 CNN-SVM 模型实时评估番茄质量
IF 1.7 4区 计算机科学
IEEE Embedded Systems Letters Pub Date : 2024-02-27 DOI: 10.1109/LES.2024.3370634
Hassan Shabani Mputu;Ahmed-Abdel Mawgood;Atsushi Shimada;Mohammed S. Sayed
{"title":"Real-Time Tomato Quality Assessment Using Hybrid CNN-SVM Model","authors":"Hassan Shabani Mputu;Ahmed-Abdel Mawgood;Atsushi Shimada;Mohammed S. Sayed","doi":"10.1109/LES.2024.3370634","DOIUrl":"10.1109/LES.2024.3370634","url":null,"abstract":"The current quality assessment for fruits and vegetables relies on subjective human judgment and manual inspection, resulting in inconsistencies and inefficiencies. Due to that, there is a need for a real-time system that can accurately and efficiently assess the quality of fruits and vegetables by analyzing various parameters, such as color, texture, size, and blemishes, to ensure consistency and reduce waste in the food supply chain. This study presents the development of a real-time tomato classification system using a hybrid model that combines convolutional neural network (CNN) and support vector machines (SVMs) deployed on the embedded single-board NVIDIA Jetson TX1. The selected CNN model EfficientNetB0 was used for feature extraction and SVM for classification. Notably, the EfficientNetB0-SVM hybrid model demonstrated impressive efficiency, achieving an average accuracy of 93.54% for classifying static tomato images stored in a board into healthy or reject with a testing time of 0.0216-s per image. Also, during real-time implementation, the proposed hybrid model attained an average inference speed of 15.6 frames per second (15.6 FPS), with an accuracy of 78.57% in classifying actual tomatoes into healthy or reject. The classification decision was taken based on 5 images for each tomato captured at different angles to ensure the detection of any blemishes from almost all sides of the tomato. The performance of the proposed model outperforms that of the state-of-the-art (SOTA) methods in accuracy, testing time per image, and real-time prediction accuracy.","PeriodicalId":56143,"journal":{"name":"IEEE Embedded Systems Letters","volume":"16 4","pages":"453-456"},"PeriodicalIF":1.7,"publicationDate":"2024-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140003877","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
High-Speed Energy-Efficient Fixed-Point Signed Multipliers for FPGA-Based DSP Applications 基于 FPGA 的 DSP 应用中的高速节能定点有符号乘法器
IF 1.7 4区 计算机科学
IEEE Embedded Systems Letters Pub Date : 2024-02-12 DOI: 10.1109/LES.2024.3364698
Mitul Sudhirkumar Nagar;Aditya Mathuriya;Sohan H. Patel;Pinalkumar J. Engineer
{"title":"High-Speed Energy-Efficient Fixed-Point Signed Multipliers for FPGA-Based DSP Applications","authors":"Mitul Sudhirkumar Nagar;Aditya Mathuriya;Sohan H. Patel;Pinalkumar J. Engineer","doi":"10.1109/LES.2024.3364698","DOIUrl":"10.1109/LES.2024.3364698","url":null,"abstract":"Among various platforms for computer vision algorithms, FPGA has gained popularity as a low-power solution. These algorithms involve convolution operation which are extensively performed using signed multipliers. Hence, this work proposes high-speed and energy-efficient signed fixed-point multipliers for digital signal processing (DSP) applications. This work focuses on reducing the combinational path delay (CPD) using LUT-based Booth radix-4 partial product (PP) generation with Bewick’s sign extension and Dadda-based concurrent PP reduction with carry save adder (CSA) for Xilinx (now AMD) FPGA. The proposed design eliminates the requirement of a long carry chain for PP reduction. The proposed multiplier reduces CPD by 3%, 4%, and 16% compared to the state-of-the-art (SoA) multiplier for \u0000<inline-formula> <tex-math>$8times 8$ </tex-math></inline-formula>\u0000, \u0000<inline-formula> <tex-math>$16times 16$ </tex-math></inline-formula>\u0000, and \u0000<inline-formula> <tex-math>$32times 32$ </tex-math></inline-formula>\u0000 sizes, respectively. We have also analyzed our proposed \u0000<inline-formula> <tex-math>$32times 32$ </tex-math></inline-formula>\u0000 multiplier by pipelining, which offers CPD and EDP reduction by 12.28% and 19.47% at the cost of a 3% and 80% increase in LUTs and flip-flops, respectively, compared to the combinatorial multiplier.","PeriodicalId":56143,"journal":{"name":"IEEE Embedded Systems Letters","volume":"16 4","pages":"417-420"},"PeriodicalIF":1.7,"publicationDate":"2024-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139954504","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
LOTUS: A Scalable Framework to Lock Multimodule Designs With One-Time Self-Destructing Key LOTUS:利用一次性密钥和自毁方法锁定多模块设计的可扩展框架
IF 1.7 4区 计算机科学
IEEE Embedded Systems Letters Pub Date : 2024-02-05 DOI: 10.1109/LES.2024.3360615
Mona Hashemi;Siamak Mohammadi;Trevor E. Carlson
{"title":"LOTUS: A Scalable Framework to Lock Multimodule Designs With One-Time Self-Destructing Key","authors":"Mona Hashemi;Siamak Mohammadi;Trevor E. Carlson","doi":"10.1109/LES.2024.3360615","DOIUrl":"10.1109/LES.2024.3360615","url":null,"abstract":"The involvement of external parties in integrated circuit (IC) supply chain has raised a number of security issues, such as the use of device cloning, overproduction, and unauthorized integration/activation. One potential solution to this problem, logic locking, restricts access to the hardware unless the correct key is provided. Existing locking methods target limited attacks and show scalability issues. In this letter we presents LOTUS, a scalable and multilayered locking framework that provides a solution for multimodule designs by employing pseudo-dynamic keys. An important aspect of this work is that it triggers an irreversible failure once an incorrect key is applied. This evaluation demonstrates this letter’s resiliency against various deobfuscation attacks like KC2, AppSAT, OMLA, SAIL, and SCOPE with low overhead. Due to its scalability, low overhead, and destructive-when-wrong structure, LOTUS is a practical solution for large, complex, and safety-critical designs.","PeriodicalId":56143,"journal":{"name":"IEEE Embedded Systems Letters","volume":"16 4","pages":"413-416"},"PeriodicalIF":1.7,"publicationDate":"2024-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139954499","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
ProMiSE: A Programmable Hardware Monitor for Secure Execution in Zero Trust Networks PROMISE:零信任网络中安全执行的可编程硬件监控器
IF 1.7 4区 计算机科学
IEEE Embedded Systems Letters Pub Date : 2024-01-16 DOI: 10.1109/LES.2024.3354831
Nikhilesh Singh;Shagnik Pal;Rainer Leupers;Farhad Merchant;Chester Rebeiro
{"title":"ProMiSE: A Programmable Hardware Monitor for Secure Execution in Zero Trust Networks","authors":"Nikhilesh Singh;Shagnik Pal;Rainer Leupers;Farhad Merchant;Chester Rebeiro","doi":"10.1109/LES.2024.3354831","DOIUrl":"10.1109/LES.2024.3354831","url":null,"abstract":"With the inevitable adoption of zero trust architectures (ZTAs) for enterprise networks, there is a need to continuously gauge the security health of connected devices. This requires runtime monitoring of the devices in the network. The challenge, especially in resource-constrained environments, is to ensure trusted monitoring at a fine granularity. In this letter, we propose ProMiSE, a framework that overcomes this challenge and provides an online non-tamperable metric called trust score to quantify the security health of devices in a ZTA network. We use real-time hardware tracking of microarchitectural signals in the CPU to compute the trust score in a security co-processor that is isolated from the device’s computing stack. The trust score for each device is sent to the ZTA host for corresponding responses. We evaluate ProMiSE on an open-source RISC-V processor with different threat vectors, including ransomware, return-oriented programming (RoP) attacks, and cache-based microarchitectural attacks. We also deploy the framework on an AMD Artix 7AC701 FPGA and present the area overheads.","PeriodicalId":56143,"journal":{"name":"IEEE Embedded Systems Letters","volume":"16 4","pages":"433-436"},"PeriodicalIF":1.7,"publicationDate":"2024-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139954456","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Middleton Class A Noise Median Estimator: FPGA and Software Implementation Middleton A 级噪声中值估计器:FPGA 和软件实现
IF 1.7 4区 计算机科学
IEEE Embedded Systems Letters Pub Date : 2024-01-15 DOI: 10.1109/LES.2024.3354179
Lucas A. Rabioglio;M. C. Cebedio;L. Arnone;L. De Micco;J. Castiñeira Moreira
{"title":"Middleton Class A Noise Median Estimator: FPGA and Software Implementation","authors":"Lucas A. Rabioglio;M. C. Cebedio;L. Arnone;L. De Micco;J. Castiñeira Moreira","doi":"10.1109/LES.2024.3354179","DOIUrl":"10.1109/LES.2024.3354179","url":null,"abstract":"This letter focuses on the field-programmable gate array (FPGA) implementation of a Class A Middleton noise estimator, aiming to enhance its efficiency and performance. The inherent algorithm of the estimator undergoes strategic enhancements, leveraging median approximations. This endeavor leads to the development of a more streamlined and expeditious architecture. The research not only introduces the refined architecture but also conducts a comparative analysis of its attributes. The outcomes of this investigation show the benefits of algorithmic optimization, as the execution times achieved in hardware significantly surpass those attainable through software-based implementation. This underscores the practicality of the algorithmic refinement and also the notable advantages of the FPGA-based execution in terms of computational speed.","PeriodicalId":56143,"journal":{"name":"IEEE Embedded Systems Letters","volume":"16 3","pages":"275-278"},"PeriodicalIF":1.7,"publicationDate":"2024-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139954509","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
SoC-Based Implementation of 1-D Convolutional Neural Network for 3-Channel ECG Arrhythmia Classification via HLS4ML 通过 HLS4ML 实现基于 SoC 的用于 3 通道心电图心律失常分类的一维卷积神经网络
IF 1.7 4区 计算机科学
IEEE Embedded Systems Letters Pub Date : 2024-01-15 DOI: 10.1109/LES.2024.3354081
Feroz Ahmad;Saima Zafar
{"title":"SoC-Based Implementation of 1-D Convolutional Neural Network for 3-Channel ECG Arrhythmia Classification via HLS4ML","authors":"Feroz Ahmad;Saima Zafar","doi":"10.1109/LES.2024.3354081","DOIUrl":"10.1109/LES.2024.3354081","url":null,"abstract":"Real-time monitoring of 1-D biopotentials, such as electrocardiograms (ECG), necessitates effective feature extraction and classification, a strength of deep learning (DL) algorithms. Designing 1-D convolutional neural network (1-D CNN) accelerators for biopotential classification via open-source codesign workflows, particularly high-level synthesis for machine learning (HLS4ML), offers advantages over GPU-based or cloud-based solutions, including high performance, low latency, low power consumption, swift time-to-market, and cost-effectiveness. We present an implementation of a quantized-pruned (QP) 1-D CNN model on the PYNQ Z2 SoC using HLS4ML by seamlessly deploying its soft IP core generated via Vivado Accelerator backend, showcasing the efficacy of quantization-aware training (QAT) in reducing power consumption to 1.655 W from 1.823 W. Our approach demonstrates improved area consumption, resource utilization, and inferences per second compared to the baseline (B) 1-D CNN model, with a controlled 4% or less reduction in weighted Accuracy, Precision, Recall, and F1-score, revealing the nuanced tradeoffs between performance metrics and system efficiency for real-time 3-channel ECG Arrhythmia classification.","PeriodicalId":56143,"journal":{"name":"IEEE Embedded Systems Letters","volume":"16 4","pages":"429-432"},"PeriodicalIF":1.7,"publicationDate":"2024-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139954458","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An Area and Energy Efficient Serial-Multiplier 面积和能效比高的串行乘法器
IF 1.7 4区 计算机科学
IEEE Embedded Systems Letters Pub Date : 2024-01-10 DOI: 10.1109/LES.2024.3352540
Mohd. Tasleem Khan;Jinti Hazarika
{"title":"An Area and Energy Efficient Serial-Multiplier","authors":"Mohd. Tasleem Khan;Jinti Hazarika","doi":"10.1109/LES.2024.3352540","DOIUrl":"10.1109/LES.2024.3352540","url":null,"abstract":"In this work, we present an area and energy-efficient serial multiplier. Specifically, we exploit symmetries in odd and even partial products (PPs) in its radix-\u0000<inline-formula> <tex-math>$gamma $ </tex-math></inline-formula>\u0000 implementation. Subsequently, we express them as \u0000<inline-formula> <tex-math>$mp (2^{k}pm 1)$ </tex-math></inline-formula>\u0000 with \u0000<inline-formula> <tex-math>$1 leq k leq text {{log}}_{2}gamma -1$ </tex-math></inline-formula>\u0000, which enable to reduce the hardware resources. For \u0000<inline-formula> <tex-math>$gamma geq 16$ </tex-math></inline-formula>\u0000, the above representation becomes invalid, requiring additional power-of-two terms and raising hardware costs. To address this, we utilize recursive symmetries in PPs, which enable time-sharing and reduce the logic resources for efficient realization. ASIC synthesis results show the proposed design has substantial savings in area and energy than the state-of-the-art design.","PeriodicalId":56143,"journal":{"name":"IEEE Embedded Systems Letters","volume":"16 4","pages":"425-428"},"PeriodicalIF":1.7,"publicationDate":"2024-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139954453","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Adaptive Kernel Merge and Fusion for Multi-Tenant Inference in Embedded GPUs 嵌入式 GPU 多租户推理的自适应内核合并与融合
IF 1.7 4区 计算机科学
IEEE Embedded Systems Letters Pub Date : 2024-01-09 DOI: 10.1109/LES.2024.3351753
Jaebeom Jeon;Gunjae Koo;Myung Kuk Yoon;Yunho Oh
{"title":"Adaptive Kernel Merge and Fusion for Multi-Tenant Inference in Embedded GPUs","authors":"Jaebeom Jeon;Gunjae Koo;Myung Kuk Yoon;Yunho Oh","doi":"10.1109/LES.2024.3351753","DOIUrl":"10.1109/LES.2024.3351753","url":null,"abstract":"This letter proposes a new scheme that improves throughput and reduces queuing delay while running multiple inferences in embedded graphics processing unit (GPU)-based systems. We observe that an embedded system runs inference with a fixed number of deep learning models and that inference requests often use the same model. Unlike prior work that proposed kernel fusion or scheduling techniques, this letter proposes a new software technique that merges and fuses kernels by monitoring the requests in a queue. The proposed technique first monitors a fixed number of requests and groups the requests running the same model. Then, it creates the kernels that iteratively process the grouped requests. We call such a technique kernel merging. After that, the proposed technique performs kernel fusion with merged kernels. Eventually, our idea minimizes the number of concurrent kernels, thus mitigating stalls caused by frequent context switching in a GPU. In our evaluation, the proposed kernel merge and fusion achieve \u0000<inline-formula> <tex-math>$2.7times $ </tex-math></inline-formula>\u0000 better throughput, 47% shorter average kernel execution time, and 63% shorter tail latency than prior work.","PeriodicalId":56143,"journal":{"name":"IEEE Embedded Systems Letters","volume":"16 4","pages":"421-424"},"PeriodicalIF":1.7,"publicationDate":"2024-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139954771","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Controlling a House’s Air-Conditioning Using Nonlinear Model Predictive Control 利用非线性模型预测控制来控制房屋空调系统
IF 1.6 4区 计算机科学
IEEE Embedded Systems Letters Pub Date : 2024-01-04 DOI: 10.1109/LES.2023.3348705
Bashra Kadhim Oleiwi;Ahmad H. Sabry
{"title":"Controlling a House’s Air-Conditioning Using Nonlinear Model Predictive Control","authors":"Bashra Kadhim Oleiwi;Ahmad H. Sabry","doi":"10.1109/LES.2023.3348705","DOIUrl":"10.1109/LES.2023.3348705","url":null,"abstract":"As per literature, there is a potential for energy savings of (5% to 20%) using building embedded control systems. This letter aims to control a house air-conditioning system using model predictive control (MPC) with a neural state space prediction (NSSP) Model to maintain interior temperature set-point and reduce energy consumption. Here, we present a high-fidelity model that is validated by an experimental prototype of a house air-conditioning system that is controlled using a nonlinear MPC. The house air-conditioning system models the air-conditioner and the thermal dynamics of the house. The outdoor temperature is modeled by simulated signals and real measurements. The controller problem is to maintain a house temperature within 20 °C to 22 °C and to minimize energy costs. Compared with the generic nonlinear MPC controller, multistage nonlinear MPC provides a more flexible and efficient way to implement MPC with staged costs and constraints.","PeriodicalId":56143,"journal":{"name":"IEEE Embedded Systems Letters","volume":"16 2","pages":"239-242"},"PeriodicalIF":1.6,"publicationDate":"2024-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139954502","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
DATA: Throughput and Deadline-Aware Genetic Approach for Task Scheduling in Fog Networks DATA:用于雾网络任务调度的吞吐量和截止时间感知遗传方法
IF 1.7 4区 计算机科学
IEEE Embedded Systems Letters Pub Date : 2023-12-29 DOI: 10.1109/LES.2023.3348499
Arya Motamedhashemi;Bardia Safaei;Amir Mahdi Hosseini Monazzah;Alireza Ejlali
{"title":"DATA: Throughput and Deadline-Aware Genetic Approach for Task Scheduling in Fog Networks","authors":"Arya Motamedhashemi;Bardia Safaei;Amir Mahdi Hosseini Monazzah;Alireza Ejlali","doi":"10.1109/LES.2023.3348499","DOIUrl":"10.1109/LES.2023.3348499","url":null,"abstract":"Fog devices in fog computing frameworks are responsible for fetching and executing the tasks submitted by the deployed resource-constraint embedded edge devices. Based on the availability of resources, tasks are offloaded to the virtual machines hosted by the fog devices. These tasks may then get scheduled to guarantee a number of efficiency-related metrics. While throughput has a decisive impact on the timely execution of tasks, the appropriate utilization of this metric has not been considered in the existing mechanisms. In this letter, we first discuss the proper use of this objective in the fitness function of meta-heuristic algorithms. Then, we explain that adopting throughput by the fitness functions in the form of two conventionally used weighted-sum, and fractional techniques may ignore solutions with a better guarantee ratio. Consequently, we propose a novel approach called DATA to be replaced with these two old approaches. DATA is a throughput, and deadline-aware task scheduling mechanism for time-sensitive fog frameworks, which its fitness function utilizes genetic optimization by encoding the solutions into chromosomes. It uses single-gene mutation and two-point crossover. In this approach, two populations are considered to search the problem space. The main population is evaluated based on the guarantee ratio, while the helper population is evaluated based on the throughput. Furthermore, the helper population uses weighted-sum. The initial population is generated randomly by the uniform distribution, to provide a load-balancing. Based on our extensive evaluations, the selected solution by DATA provides the highest guarantee ratio, while having the lowest possible makespan.","PeriodicalId":56143,"journal":{"name":"IEEE Embedded Systems Letters","volume":"16 4","pages":"409-412"},"PeriodicalIF":1.7,"publicationDate":"2023-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142199417","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","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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