New Combinatorial Modulation Schemes

简要描述研究的背景，包括潜在影响；本项目研究基于枚举组合的新编码方案的潜力。我们在无线通信方面研究这种潜力，并尝试使用这些编码方案来改进无线网络。因此，在项目中，我们详细研究了枚举组合学和现有的编码技术。此外，在码本设计中有效地利用集合分割和整数分割等组合工具来嵌入附加信息，提高通信系统的信息率。另一方面，该项目寻求对编码方案在设计超可靠、低复杂性和超快速通信网络方面的有效性问题的答案。为了更好地理解这些概念，我们还从错误和数据速率性能的角度研究了这些编码方案的限制。因此，与现有的编码技术相比，这些新的编码方案具有改善错误性能和提高信息率的潜力。此外，它们有可能与当前的通信系统一起有效地使用。宗旨和目标;在这个项目中，我们的目标是通过使用枚举组合设计新的高效编码技术。我们打算通过在码本设计中使用这些编码技术来改进无线通信网络。我们还旨在通过提供理论、数值和模拟结果来展示这些概念的有效性。在这方面，我们计划研究通信系统的关键性能指标，如误码率和可实现率，并研究这些指标对编码方案的潜在好处。本文还研究了所提出的概念在已知通信技术中的应用，并对组合编码方案是否适用于当前系统的问题进行了研究。研究方法的新颖性；据我们所知，我们研究的新颖性来自于这样一个事实，即在码本设计中没有考虑集合分区和整数分区等组合工具。因此，本课题将运用枚举组合学及其工具来设计新的无线通信网络编码方案。然后，利用这些方案从错误性能和信息率方面改进这些网络。此外，还对通信系统的误码率和误码率提供了新的理论、数值和仿真结果。该项目属于EPSRC信息和通信技术（ICT）研究领域。本项目由东芝欧洲研究有限公司布里斯托尔创新与研究实验室部分资助。

Brief description of the context of the research including potential impact; This project investigates the potential of new encoding schemes based on enumerative combinatorics. We investigate such potential in terms of wireless communication and try to use these encoding schemes to improve wireless networks. Thus, in the project, we study enumerative combinatorics and existing encoding techniques in detail. Moreover, combinatorial tools such as set partitioning and integer partitioning are aimed to be effectively used in the codebook design to embed additional information and increase the information rate in the communication systems. On the other hand, the project seeks an answer to the question of how effective the encoding schemes are in designing ultra-reliable, low-complexity, and ultra-fast communication networks. The limits of these encoding schemes are also investigated in terms of error and data rate performance to provide a better understanding of these concepts. Hence, these novel encoding schemes have the potential of improving error performance and increasing information rate compared to the existing encoding techniques. Furthermore, they have the potential to be employed efficiently with current communication systems. Aims and objectives; In the project, we aim to design new efficient encoding techniques by using enumerative combinatorics. We intend to improve wireless communication networks by employing these encoding techniques in codebook design. We also aim to show the effectiveness of these concepts by providing theoretical, numerical, and simulation results. In this regard, we plan to study key performance indicators for a communication system such as bit error rate and achievable rate and to investigate the potential benefits in terms of these indicators for the encoding schemes. The applications of the proposed concepts to well-known communication techniques are also aimed to be studied and the question of whether the combinatorial encoding schemes are suitable for the current systems are investigated.Novelty of the research methodology; Novelty of our research comes from the fact that the combinatorial tools like set partitioning and integer partitioning are not considered for codebook design, to the best of our knowledge. Therefore, in this project, enumerative combinatorics and its tools are used to design novel encoding schemes for wireless communication networks. Then, these schemes are used to improve these networks in terms of error performance and information rate. Moreover, new theoretical, numerical, and simulation results are provided for error performance and data rate of the communication systems. This project falls within the EPSRC Information and communication technologies (ICT) research area.Any companies or collaborators involved: The project is partly funded by Bristol Innovation & Research Laboratory of Toshiba Research Europe Ltd.