Wave diversity in wireless communication

利用传播波的多样性的方法对于无线通信系统的有效操作至关重要。这种多样性沿着两个不同的维度出现：空间和时间。这两种方式都对信息量提出了基本限制 电磁辐射。本项目试图基于传播场的空间频谱的物理概念，对这些独立的轴提出统一的看法，并将信息论和电磁理论的领域联系起来。更具体地说，本项目从物理原理定义了多天线信道中的信息传输概念，并研究了通过信道传输到接收器的信息量如何取决于由发射天线和环境中存在的散射物体组成的辐射系统的空间和频率带宽。空间信息内容的量化在一个类似的方式比其时间对应，通过减少场重建的逆问题，在空间中的通信问题，并确定相关的通信模式的信道通过严格应用采样定理上的字段的向量空间。这项研究涉及扩展的概念，从时间到空间的信息率，旨在揭示基本的二重性和权衡这两个维度。

Methods to exploit the diversity of propagating waves are crucial to the efficient operation of wireless communication systems. Such diversity occurs along two different dimensions: space and time. Both of them pose fundamental limits on the amount of information that can be carried by electromagnetic radiation. This project attempts to present a unified view of these separate axes, based on the physical notion of space frequency spectrum of the propagating field, and to draw connections between the fields of information theory and electromagnetic theory.More specifically, the project defines the concept of information transmission in a multiple antenna channel from physical principles, and investigates how the amount of information transported over the channel to the receiver depends on both the spatial and the frequency bandwidth of the radiating system composed by the transmitting antennas and the scattering objects present in the environment. The spatial information content is quantified in a similar fashion than its temporal counterpart, by reducing the inverse problem of field reconstruction to a communication problem in space, and determining the relevant communication modes of the channel by rigorously applying the sampling theorem on the field's vector space. This research involves extensions of the concept of information rate from time to space, and is aimed at revealing fundamental dualities and trade-offs between these two dimensions.