New Combinatorial Modulation Schemes

对研究背景的简要描述，包括潜在的影响；这个项目调查了基于列举组合学的新编码方案的潜力。我们从无线通信的角度研究这种潜力，并尝试使用这些编码方案来改进无线网络。因此，在本项目中，我们详细研究了列举组合学和现有的编码技术。此外，为了在码本设计中有效地使用集合划分和整数划分等组合工具，以嵌入附加信息，提高通信系统的信息率。另一方面，该项目寻求编码方案在设计超可靠、低复杂性和超高速通信网络方面的效率问题的答案。还研究了这些编码方案在差错和数据速率性能方面的限制，以提供对这些概念的更好理解。因此，与现有的编码技术相比，这些新的编码方案具有改善差错性能和提高信息率的潜力。此外，它们有可能在当前的通信系统中得到有效利用。目的和目标：在该项目中，我们的目标是通过使用枚举组合学来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、数值和模拟结果来说明这些概念的有效性。在这方面，我们计划研究通信系统的关键性能指标，如误码率和可实现速率，并调查这些指标对编码方案的潜在好处。研究方法的创新之处在于，据我们所知，在码本设计中没有考虑集合分割和整数分割等组合工具。因此，在本项目中，使用列举组合学及其工具来设计适用于无线通信网络的新型编码方案。然后，将这些方案用于改善这些网络的误码性能和信息率。此外，还对通信系统的误码性能和数据速率提供了新的理论、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。任何参与的公司或合作者：该项目由东芝欧洲研究所布里斯托尔创新研究实验室提供部分资金。

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.