多载波传输中的WSSUS脉冲设计问题
The WSSUS Pulse Design Problem in Multicarrier Transmission
摘要：
广义平稳不相关移动通信信道散射函数的最优链路自适应问题对于下一代系统设计具有重要意义，但仍是一个尚未解决的问题。在多载波传输中，这种链路自适应通过脉冲整形来执行，即通过适当地调整发射和接收滤波器来执行。例如，脉冲成形的偏移-QAM系统最近已被证明具有优于标准的循环前缀OFDM的性能（同时在更高的频谱效率下操作）。在本文中，我们建立了一个通用的数学框架，用于联合发射机和接收机的脉冲形状优化所谓的Weyl-Heisenberg或Gabor信令相对于散射函数的WSSUS信道。在我们的框架中，脉冲形状优化问题被转化为一个优化问题的轨迹类运营商，这反过来又涉及到量子信息处理的保真度优化。通过凸松弛的问题被证明是等价的\emph{convex constraint quasi-convex maximization problem}，从而揭示了整体WSSUS脉冲设计问题的非凸性质。我们提出了几个迭代算法优化提供适用的结果，即使是大规模的问题星座。我们表明，与发射机侧的信道统计信息的$3 - 6$ dB的增益在$\SINR$可以预期。
英文摘要：
Optimal link adaption to the scattering function of wide sense stationary uncorrelated mobile communication channels is still an unsolved problem despite its importance for next-generation system design. In multicarrier transmission such link adaption is performed by pulse shaping, i.e. by properly adjusting the transmit and receive filters. For example pulse shaped Offset--QAM systems have been recently shown to have superior performance over standard cyclic prefix OFDM (while operating at higher spectral efficiency).In this paper we establish a general mathematical framework for joint transmitter and receiver pulse shape optimization for so-called Weyl--Heisenberg or Gabor signaling with respect to the scattering function of the WSSUS channel. In our framework the pulse shape optimization problem is translated to an optimization problem over trace class operators which in turn is related to fidelity optimization in quantum information processing. By convexity relaxation the problem is shown to be equivalent to a \emph{convex constraint quasi-convex maximization problem} thereby revealing the non-convex nature of the overall WSSUS pulse design problem. We present several iterative algorithms for optimization providing applicable results even for large--scale problem constellations. We show that with transmitter-side knowledge of the channel statistics a gain of $3 - 6$dB in $\SINR$ can be expected.
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