Yet another entropy power inequality with an application

摘要：

In this paper we derive a generalization of the vector entropy power inequality (EPI) recently put forth in 1, which was valid only for diagonal matrices, to the full matrix case. Next, we study the problem of computing the linear precoder that maximizes the mutual information in linear vector Gaussian channels with arbitrary inputs. In particular, we transform the precoder optimization problem into a new form and, capitalizing on the newly unveiled matrix EPI, we show that some particular instances of the optimization problem can be cast in convex form, i.e., we can have an optimality certificate, which, to the best of our knowledge, had never been obtained previously.

关键词： Entropy power inequality linear vector Gaussian channels precoder optimization arbitrary inputs.

作者: Miquel Payar(o) Maria Gregori Daniel Palomar

作者单位: Centre Tecnol`ogic de Telecomunicacions de Catalunya (CTTC),Parc Mediterrani de la Tecnologia,Castel Department of Electronic and Computer Engineering, Hong Kong University of Science and Technology, C

会议类型: 国际会议

会议名称: 2011年无线通信与信号处理国际会议(WCSP 2011)

会议地点: 南京

会议语种:英文

页码: 1-5

在线出版日期: 2011-11-09（万方平台首次上网日期，不代表论文的发表时间）