Exploiting algebraic structure in cross-layer design

We demonstrate the value of algebraic structure to cross-layer design of multiple-antenna wireless communication systems. At the network layer, we develop techniques for multiple access (many to one) and broadcast (one to many) communication where algebraic structure enables very simple implementation. At the physical layer, we emphasize enabling mobility and integrating receive chain functionality (for example, channel estimation, joint decoding and equalization) at a level of complexity that is comparable to single-antenna systems. Algebraic structure makes it possible to integrate these different functions very efficiently. Another important theme in this work is the emphasis on measuring the value of innovation at the physical layer in terms of networking throughput or coverage area of broadband wireless systems such as WiFi and WiMAX.