无线通信中几类优化问题的研究

This project shall study several optimal resource allocation problems arising from wireless communications. Resource allocation is a fundamental problem in the design of wireless communication systems.The mutual interference among users, which is a major factor of limiting the performance of communication systems, can be efficiently mitigated by optimally allocating wireless resources such as transmission power,transmission waveforms, and frequency bands.Current mathematical theories and methods for the design of communication systems lag behind the rapid development of communication technologies, and sometimes influence their developments and applications. Therefore, it is useful to study the optimal resource allocation problems arising from wireless communications. Most of the resource allocation problems arising from wireless communications can be formulated as non-convex nonlinear constrained optimization problems but with special structures. On one hand, these optimization problems are often non-convex and nonlinear, and are thus difficult to solve; on the other hand, these problems have their own special structures such as (hidden) convexity and separability. This project focuses on the optimal physical layer resource allocation problems for the multi-user interference channel, especially on characterizing the computational complexity of these optimization problems, and designing efficient algorithms (satisfying some practical requirements like real-time computation and distributed implementation) for these optimization problems by taking their special structures into account. This project shall study some hot optimal resource allocation problems such as the joint power and admission control problem for the multi-user single-input single-output interference channel and the linear transceiver design problem for the multi-user multi-input multi-output interference channel.

本项目研究无线通信中的几类最优资源分配问题。最优资源分配问题是无线通信系统设计中的基本问题之一。最优地分配功率、传输波形、频谱等资源能够极大地提高整个通信系统的传输性能。目前，相对于通信技术在现实生活中的蓬勃发展，通信系统优化的数学理论与方法显得相对滞后，在某些方面已经成为影响其发展和应用的关键因素，因此研究通信中的最优资源分配问题是非常有意义的。 无线通信中的最优资源分配问题常常可建模为带有特殊结构的非凸非线性约束优化问题。一方面，这些优化问题常常具有高度的非线性性，一般情况下难于求解；另一方面，它们又有自身的特殊结构，例如隐含的凸性和可分结构等。本项目着重考虑多用户干扰信道中物理层资源最优分配问题的复杂性刻画，以及如何利用问题的特殊结构设计计算有效且满足实时性和分布式应用等实际要求的计算方法。本项目将重点研究多用户单输入单输出干扰信道中的联合功率/接入控制等热门最优资源分配问题。

本项目研究无线通信中的几类最优资源分配问题。最优资源分配问题是无线通信系统设计中的基本问题之一。最优地分配功率、传输波形、频谱等资源能够极大地提高整个通信系统的传输性能。目前,相对于通信技术在现实生活中的蓬勃发展，通信系统优化的数学理论与方法显得相对滞后，在某些方面已经成为影响其发展和应用的关键因素，因此研究通信中的最优资源分配问题是非常有意义的。..无线通信中的最优资源分配问题常常可建模为带有特殊结构的非凸非线性约束优化问题。一方面，这些优化问题常常具有高度的非线性性，一般情况下难于求解；另一方面，它们又有自身的特殊结构,例如隐含的凸性和可分结构等。本项目重点研究了多用户单输入单输出干扰信道中的联合功率/接入控制等热门最优资源分配问题。本项目刻画了这些最优分配问题的复杂性，并利用问题的特殊结构设计了计算有效且满足实时性和分布式应用等实际要求的计算方法。

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