Pub Date : 2023-12-11DOI: 10.1109/CommNet60167.2023.10365303
A. Hilmani, Mohammed Koundi, S. Aouad, Yassine Sabri, A. Maizate, F. Ayoub
The implementation of wireless sensor networks (WSNs) is central to the operation of smart parking in modern cities. These networks are responsible for monitoring and tracking the occupancy of each parking space in real-time. The WSNs consist of sensor nodes that detect, process, and transmit data to the base station at regular intervals. However, power and communication limitations in these nodes can impact the performance and quality of the network. Early energy depletion, for instance, can shorten the network’s lifespan and necessitate the replacement of sensor nodes. To address these challenges, this paper proposes a WSN routing protocol that employs clustering to build clusters and facilitate multi-hop communication to the base station. This approach offers a robust and efficient algorithm that reduces power dissipation and extends the lifespan of both sensor nodes and the WSN network. Simulation results indicate that this proposed protocol is more energy-efficient, reliable in data transmission, and longer-lasting compared to other protocols commonly used in smart parking management.
{"title":"An intelligent routing algorithm based on energy-efficient progressive-recursive clusters for wireless sensor networks","authors":"A. Hilmani, Mohammed Koundi, S. Aouad, Yassine Sabri, A. Maizate, F. Ayoub","doi":"10.1109/CommNet60167.2023.10365303","DOIUrl":"https://doi.org/10.1109/CommNet60167.2023.10365303","url":null,"abstract":"The implementation of wireless sensor networks (WSNs) is central to the operation of smart parking in modern cities. These networks are responsible for monitoring and tracking the occupancy of each parking space in real-time. The WSNs consist of sensor nodes that detect, process, and transmit data to the base station at regular intervals. However, power and communication limitations in these nodes can impact the performance and quality of the network. Early energy depletion, for instance, can shorten the network’s lifespan and necessitate the replacement of sensor nodes. To address these challenges, this paper proposes a WSN routing protocol that employs clustering to build clusters and facilitate multi-hop communication to the base station. This approach offers a robust and efficient algorithm that reduces power dissipation and extends the lifespan of both sensor nodes and the WSN network. Simulation results indicate that this proposed protocol is more energy-efficient, reliable in data transmission, and longer-lasting compared to other protocols commonly used in smart parking management.","PeriodicalId":505542,"journal":{"name":"2023 6th International Conference on Advanced Communication Technologies and Networking (CommNet)","volume":"492 2","pages":"1-8"},"PeriodicalIF":0.0,"publicationDate":"2023-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139183590","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-11DOI: 10.1109/commnet60167.2023.10365186
{"title":"CommNet 2023 Cover Page","authors":"","doi":"10.1109/commnet60167.2023.10365186","DOIUrl":"https://doi.org/10.1109/commnet60167.2023.10365186","url":null,"abstract":"","PeriodicalId":505542,"journal":{"name":"2023 6th International Conference on Advanced Communication Technologies and Networking (CommNet)","volume":"78 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139183214","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-11DOI: 10.1109/CommNet60167.2023.10365302
Brian McCarthy, Andres Burbano-Abril, Aisling O'Driscoll
This paper investigates the significance of assuming an adaptive Modulation and Coding Scheme (MCS) when scheduling packets of varying sizes in New Radio V2X (NR-V2X). It is envisaged that many existing and future event driven vehicular services will exhibit significant variance in packet sizes, both between applications and within the same application. To ensure a sufficient quality of service, NR-V2X and its predecessor Cellular V2X (C-V2X) must be able to effectively schedule these diverse packet sizes. As such, this paper analyses the impact of fixed vs adaptive MCS selection and shows that assuming an adaptive approach is preferable in all cases, especially when dealing with varying packet sizes. A fixed MCS is commonly assumed in literature and this paper shows that such an assumption can have a large negative performance impact on the MAC layer scheduler. We further evaluate that considering an MCS range exceeding that specified in the current standard is extremely beneficial and evaluate the performance of alternative MCS selection schemes that minimise disruption in the MAC layer grant mechanism. We find that the default standardised MCS selection mechanism still remains preferable.
本文研究了在新无线 V2X（NR-V2X）中调度不同大小的数据包时，假设采用自适应调制和编码方案（MCS）的意义。根据设想，许多现有和未来的事件驱动型车载服务将在数据包大小上表现出显著差异，包括不同应用之间和同一应用内部的差异。为了确保足够的服务质量，NR-V2X 及其前身蜂窝 V2X（C-V2X）必须能够有效地调度这些不同大小的数据包。因此，本文分析了固定 MCS 选择与自适应 MCS 选择的影响，并表明在任何情况下，尤其是在处理不同大小的数据包时，采用自适应方法更为可取。文献中通常假定 MCS 是固定的，本文表明这种假定会对 MAC 层调度器的性能产生很大的负面影响。我们进一步评估发现，考虑超出现行标准规定的 MCS 范围是非常有益的，并评估了其他 MCS 选择方案的性能，这些方案能最大限度地减少 MAC 层授予机制的中断。我们发现，默认的标准化 MCS 选择机制仍然更可取。
{"title":"MCS Adaptation and its role in improving MAC Scheduling for Variable Packet Sizes in NR-V2X","authors":"Brian McCarthy, Andres Burbano-Abril, Aisling O'Driscoll","doi":"10.1109/CommNet60167.2023.10365302","DOIUrl":"https://doi.org/10.1109/CommNet60167.2023.10365302","url":null,"abstract":"This paper investigates the significance of assuming an adaptive Modulation and Coding Scheme (MCS) when scheduling packets of varying sizes in New Radio V2X (NR-V2X). It is envisaged that many existing and future event driven vehicular services will exhibit significant variance in packet sizes, both between applications and within the same application. To ensure a sufficient quality of service, NR-V2X and its predecessor Cellular V2X (C-V2X) must be able to effectively schedule these diverse packet sizes. As such, this paper analyses the impact of fixed vs adaptive MCS selection and shows that assuming an adaptive approach is preferable in all cases, especially when dealing with varying packet sizes. A fixed MCS is commonly assumed in literature and this paper shows that such an assumption can have a large negative performance impact on the MAC layer scheduler. We further evaluate that considering an MCS range exceeding that specified in the current standard is extremely beneficial and evaluate the performance of alternative MCS selection schemes that minimise disruption in the MAC layer grant mechanism. We find that the default standardised MCS selection mechanism still remains preferable.","PeriodicalId":505542,"journal":{"name":"2023 6th International Conference on Advanced Communication Technologies and Networking (CommNet)","volume":"45 3","pages":"1-7"},"PeriodicalIF":0.0,"publicationDate":"2023-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139183519","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-11DOI: 10.1109/CommNet60167.2023.10365248
Heba Yaser, Yara El-Shqeirat, Saud Althuniabt, Mazen O. Hasna, Khalid A. Qaraqe
Ensuring wireless connectivity for temporary crowded areas is one of the main concerns for wireless operators. Installing a fixed Base Station (BS) with sufficient capacity is inefficient solution that wastes the spectrum resources due to the temporary nature of these areas. Instead, Low-Altitude Platform (LAP) is reported as an efficient alternative, where an aerial entity can carry a BS to serve the desired area during the required time period. However, the optimal location and altitude of the LAP has a significant impact on the attainable performance. In this work, the optimization of both the location and the altitude of LAP that carries a BS of $4times 4$ antenna operating over 28GHz is addressed. The area under investigation is Souq Waqif in Doha (Qatar) which is identified as a seasonal crowded area. Performance evaluation is conducted by the aid of Wireless InSite simulation software in terms of the average received power while considering different types of receive antennas.
{"title":"Performance Optimization of Low-Altitude Platform over Crowded Areas - Souq Waqif as a Case Study","authors":"Heba Yaser, Yara El-Shqeirat, Saud Althuniabt, Mazen O. Hasna, Khalid A. Qaraqe","doi":"10.1109/CommNet60167.2023.10365248","DOIUrl":"https://doi.org/10.1109/CommNet60167.2023.10365248","url":null,"abstract":"Ensuring wireless connectivity for temporary crowded areas is one of the main concerns for wireless operators. Installing a fixed Base Station (BS) with sufficient capacity is inefficient solution that wastes the spectrum resources due to the temporary nature of these areas. Instead, Low-Altitude Platform (LAP) is reported as an efficient alternative, where an aerial entity can carry a BS to serve the desired area during the required time period. However, the optimal location and altitude of the LAP has a significant impact on the attainable performance. In this work, the optimization of both the location and the altitude of LAP that carries a BS of $4times 4$ antenna operating over 28GHz is addressed. The area under investigation is Souq Waqif in Doha (Qatar) which is identified as a seasonal crowded area. Performance evaluation is conducted by the aid of Wireless InSite simulation software in terms of the average received power while considering different types of receive antennas.","PeriodicalId":505542,"journal":{"name":"2023 6th International Conference on Advanced Communication Technologies and Networking (CommNet)","volume":"29 1","pages":"1-4"},"PeriodicalIF":0.0,"publicationDate":"2023-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139183578","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-11DOI: 10.1109/CommNet60167.2023.10365311
Soumaya Marfoun-Dini Ahmed, Anne-Carole Honfoga, Patrick Sotindjo
The Internet of Things (IoT) applied to agriculture has great potential for improving agricultural production. It involves the use of connected objects such as sensors/actuators, Unmanned Aerial Vehicle (UAV), and robots to enhance productivity and yield while paying attention to the use of pesticides, water, agricultural inputs and Livestock monitoring. Like any computer network, IoT network presents also security problems inducing the false prediction and data analysis in case of network attack. The purpose of this paper consists in analyzing publications on the digital agriculture security study. A database was extracted from Web of Science (WoS) using a defined search string from 2012 to 2023 and processed using the Preferred Reporting Item for Systematic Reviews and Meta-Analysis (PRISMA) method was used to select the most relevant documents on the subject. These documents presented vulnerabilities or attacks on digital agriculture networks and proposed security solutions like cryptography. Search strategy retrieved 227 documents, written by 909 authors and published in 167 sources. The United States of America (USA), India and China were the most productive country with many international collaborations.
{"title":"Security of digital agriculture networks: A review and bibliometric analysis","authors":"Soumaya Marfoun-Dini Ahmed, Anne-Carole Honfoga, Patrick Sotindjo","doi":"10.1109/CommNet60167.2023.10365311","DOIUrl":"https://doi.org/10.1109/CommNet60167.2023.10365311","url":null,"abstract":"The Internet of Things (IoT) applied to agriculture has great potential for improving agricultural production. It involves the use of connected objects such as sensors/actuators, Unmanned Aerial Vehicle (UAV), and robots to enhance productivity and yield while paying attention to the use of pesticides, water, agricultural inputs and Livestock monitoring. Like any computer network, IoT network presents also security problems inducing the false prediction and data analysis in case of network attack. The purpose of this paper consists in analyzing publications on the digital agriculture security study. A database was extracted from Web of Science (WoS) using a defined search string from 2012 to 2023 and processed using the Preferred Reporting Item for Systematic Reviews and Meta-Analysis (PRISMA) method was used to select the most relevant documents on the subject. These documents presented vulnerabilities or attacks on digital agriculture networks and proposed security solutions like cryptography. Search strategy retrieved 227 documents, written by 909 authors and published in 167 sources. The United States of America (USA), India and China were the most productive country with many international collaborations.","PeriodicalId":505542,"journal":{"name":"2023 6th International Conference on Advanced Communication Technologies and Networking (CommNet)","volume":"14 1","pages":"1-9"},"PeriodicalIF":0.0,"publicationDate":"2023-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139183747","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-11DOI: 10.1109/CommNet60167.2023.10365291
Omar Ourahou, Hind Abbaoui, Fatima Ez-zaki, R. E. Bakouchi, H. Belahrach, A. Ghammaz
Nowadays, several countries have adopted the 5G mm-wave frequency standards such as, China (24.3–27.5GHz, 37–43.5GHz), Japan (27.5–28.8GHz), Sweden (26.5-27.5GHz), Europe (24.25-27.5GHz), the USA (27.5–28.35 GHz and 37–43.5 GHz), and Korea (28GHz) In this contribution, an optically transparent patch antenna with Ultra-wideband characteristics is designed and simulated using HFSS software. Glass serves as the substrate for the proposed antenna while the partial ground plane and the patch element are constructed by using AGH-8 conductor. The patch element is composed of rectangles and two similar circles as to exhibit the UWB characteristics. This proposed antenna is operating from 23.41–45.95 GHz reaching approximately 22.49 GHz of band and has six resonant frequencies 25.7 GHz, 28.24GHz,34.65, 38.64 and 41. 6GHz; this transparent antenna demonstrates a gain of approximately 5 dB for the six operating frequencies.
{"title":"UWB transparent patch antenna for 5G millimeter - Wave applications","authors":"Omar Ourahou, Hind Abbaoui, Fatima Ez-zaki, R. E. Bakouchi, H. Belahrach, A. Ghammaz","doi":"10.1109/CommNet60167.2023.10365291","DOIUrl":"https://doi.org/10.1109/CommNet60167.2023.10365291","url":null,"abstract":"Nowadays, several countries have adopted the 5G mm-wave frequency standards such as, China (24.3–27.5GHz, 37–43.5GHz), Japan (27.5–28.8GHz), Sweden (26.5-27.5GHz), Europe (24.25-27.5GHz), the USA (27.5–28.35 GHz and 37–43.5 GHz), and Korea (28GHz) In this contribution, an optically transparent patch antenna with Ultra-wideband characteristics is designed and simulated using HFSS software. Glass serves as the substrate for the proposed antenna while the partial ground plane and the patch element are constructed by using AGH-8 conductor. The patch element is composed of rectangles and two similar circles as to exhibit the UWB characteristics. This proposed antenna is operating from 23.41–45.95 GHz reaching approximately 22.49 GHz of band and has six resonant frequencies 25.7 GHz, 28.24GHz,34.65, 38.64 and 41. 6GHz; this transparent antenna demonstrates a gain of approximately 5 dB for the six operating frequencies.","PeriodicalId":505542,"journal":{"name":"2023 6th International Conference on Advanced Communication Technologies and Networking (CommNet)","volume":"230 4","pages":"1-5"},"PeriodicalIF":0.0,"publicationDate":"2023-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139184026","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-11DOI: 10.1109/CommNet60167.2023.10365293
Govind Singh, Ravi Ashok Pashchapur, Anshul Pandey, Aravindaraja Puthiyavinayagam
Recently, unmanned aerial vehicles (UAVs) or drones are gaining more attention owing to the versatile use cases that they can support. They are also considered as an integral part of the sixth generation (6G) and beyond networks. However, with increasing UAVs, there comes a requirement to regulate their movement in the airspace. Such regulations can provide better management and mitigate safety and security concerns. As such, direct remote identification (DRI) is one approach which allows authorities to identify any drone in the airspace and provides information about drones in flight, such as the drone’s identity, location, altitude and its control station or take-off location. Although, there has been numerous research performed on DRI and respective topics, but none of them proposed usage of commercial-off-the-shelf (COTS) wireless radio modules along with DRI. To overcome this problem, we evaluate DRI using various COTS under the Wi-Fi and Bluetooth use cases and later presented a comparative analysis of long-range frequency and power consumption for such COTS modules. At last, we also shed some light on the security aspects.
{"title":"Drone Remote Identification System Using Different Wireless COTS Radios: A Benchmarking Study","authors":"Govind Singh, Ravi Ashok Pashchapur, Anshul Pandey, Aravindaraja Puthiyavinayagam","doi":"10.1109/CommNet60167.2023.10365293","DOIUrl":"https://doi.org/10.1109/CommNet60167.2023.10365293","url":null,"abstract":"Recently, unmanned aerial vehicles (UAVs) or drones are gaining more attention owing to the versatile use cases that they can support. They are also considered as an integral part of the sixth generation (6G) and beyond networks. However, with increasing UAVs, there comes a requirement to regulate their movement in the airspace. Such regulations can provide better management and mitigate safety and security concerns. As such, direct remote identification (DRI) is one approach which allows authorities to identify any drone in the airspace and provides information about drones in flight, such as the drone’s identity, location, altitude and its control station or take-off location. Although, there has been numerous research performed on DRI and respective topics, but none of them proposed usage of commercial-off-the-shelf (COTS) wireless radio modules along with DRI. To overcome this problem, we evaluate DRI using various COTS under the Wi-Fi and Bluetooth use cases and later presented a comparative analysis of long-range frequency and power consumption for such COTS modules. At last, we also shed some light on the security aspects.","PeriodicalId":505542,"journal":{"name":"2023 6th International Conference on Advanced Communication Technologies and Networking (CommNet)","volume":"202 4","pages":"1-7"},"PeriodicalIF":0.0,"publicationDate":"2023-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139184069","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-11DOI: 10.1109/commnet60167.2023.10365280
{"title":"CommNet 2023 Author Index","authors":"","doi":"10.1109/commnet60167.2023.10365280","DOIUrl":"https://doi.org/10.1109/commnet60167.2023.10365280","url":null,"abstract":"","PeriodicalId":505542,"journal":{"name":"2023 6th International Conference on Advanced Communication Technologies and Networking (CommNet)","volume":"139 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139183445","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-11DOI: 10.1109/CommNet60167.2023.10365270
A. A. Ka’bi
The need for new frequency bands in contemporary wireless communications networks is always growing. The Terahertz frequency band, which spans 0.1 THz to 10THz, is one of the most promising and practical resources to be used in wireless networks technologies beyond 5G. This research presents a proposed Ultra-Wideband 2x2 MIMO antenna model intended for THz applications. The growing influence of mutual coupling between the antenna elements, which has a significant impact on the antenna’s overall performance, is one of the difficulties in designing antennas in THz frequency ranges. In order to lessen the impact of mutual coupling on the MIMO antenna array’s performance, many strategies are used, including loading slots, high isolation, orthogonal alignment, and parasitic structures. This paper’s proposed model is a rectangular radiator measuring 133×255μm2 with a circular cut in the middle. It will be demonstrated that this design offers a sizable bandwidth of about 4.5 GHz (from 5.5 GHz to 10 GHz), making it suitable for usage in high-bit-rate, fast wireless networks. Additionally, the suggested antenna’s performance is examined in terms of a number of variables, including Total Active Reflection Coefficient (TARC) and Channel Capacity Loss (CCL), and it is then contrasted with other designs that are currently in use. It is discovered that the suggested model performs noticeably better than the current designs in a number of areas.
{"title":"Ultra-Wideband MIMO Antenna Design for THz Application","authors":"A. A. Ka’bi","doi":"10.1109/CommNet60167.2023.10365270","DOIUrl":"https://doi.org/10.1109/CommNet60167.2023.10365270","url":null,"abstract":"The need for new frequency bands in contemporary wireless communications networks is always growing. The Terahertz frequency band, which spans 0.1 THz to 10THz, is one of the most promising and practical resources to be used in wireless networks technologies beyond 5G. This research presents a proposed Ultra-Wideband 2x2 MIMO antenna model intended for THz applications. The growing influence of mutual coupling between the antenna elements, which has a significant impact on the antenna’s overall performance, is one of the difficulties in designing antennas in THz frequency ranges. In order to lessen the impact of mutual coupling on the MIMO antenna array’s performance, many strategies are used, including loading slots, high isolation, orthogonal alignment, and parasitic structures. This paper’s proposed model is a rectangular radiator measuring 133×255μm2 with a circular cut in the middle. It will be demonstrated that this design offers a sizable bandwidth of about 4.5 GHz (from 5.5 GHz to 10 GHz), making it suitable for usage in high-bit-rate, fast wireless networks. Additionally, the suggested antenna’s performance is examined in terms of a number of variables, including Total Active Reflection Coefficient (TARC) and Channel Capacity Loss (CCL), and it is then contrasted with other designs that are currently in use. It is discovered that the suggested model performs noticeably better than the current designs in a number of areas.","PeriodicalId":505542,"journal":{"name":"2023 6th International Conference on Advanced Communication Technologies and Networking (CommNet)","volume":"155 4","pages":"1-6"},"PeriodicalIF":0.0,"publicationDate":"2023-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139183472","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-11DOI: 10.1109/CommNet60167.2023.10365184
A. E. Boukili, Amar Rhazi, B. E. Wahbi
In the most intuitive way, the problem of moments seeks to represent the terms of a given sequence using an integral. So, it is about determining a measure that allows this representation. In mathematical analysis, the problem of moments (MP) occupies an important place in the work of many researchers. Several generalizations and extensions of the original version, attributed to T. J. Stieltjes, have emerged. It has been a source of inspiration for many developments in many branches of mathematics as well as in other fields. In this article, we are interested in a class of two-dimensional MP. Precisely, we deal with the problem of the cubic real truncated moment in the case where the associated moment matrix is singular. The main target is to provide a complete solution via a minimal atomic-representative measure. This was possible by the use of an algorithmic method based on the construction of some flat extension of the associated moment matrix. The implementation of this approach is illustrated by some numerical examples using Mathematica software.
从最直观的角度来看，矩问题试图用积分来表示给定序列的项。因此，它就是要确定一种能够进行这种表示的度量。在数学分析中，矩问题（MP）在许多研究者的工作中占有重要地位。由 T. J. Stieltjes 提出的矩问题的原始版本已经有了一些概括和扩展。它是许多数学分支和其他领域发展的灵感源泉。在本文中，我们关注的是一类二维 MP。确切地说，我们处理的是在相关矩矩阵是奇异的情况下的立方实截断矩问题。主要目标是通过最小原子代表度量提供一个完整的解决方案。通过使用一种基于相关矩矩阵的某种平面扩展的算法方法，可以实现这一点。使用 Mathematica 软件的一些数值示例说明了这一方法的实施。
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