Efficiently Decodable Codes for Noncoherent Multi-Antenna Wireless Communication

摘要

A theory of training codes was developed for the multi-antenna, non- coherent, multiple block Rayleigh fading channel. The key advantage of training codes is that they are easily designed to have high rate and low decoding complexity by choosing an underlying coherent code to have high rate and to be efficiently decodable. A key performance analysis result of this work is that the training codes when decoded with the estimator-detector receiver achieve a diversity order of the error probability that is equal to the diversity order of the underlying coherent code. Several examples of training codes were provided in this work that have polynomial decoding complexity in rate but an error rate comparable to the best performing unitary designs available, even though the latter require exponential decoding complexity. The theory developed in this project is relevant for the design of delay sensitive wireless multi-antenna communication systems in a variety of applications, particularly those encountered in rich scattering environments and high vehicular speed, high carrier frequency (or fast fading) channels.