Noncoherent Space-Time Coding: An Algebraic Perspective

Abstract

Cataloged from PDF version of article.The design of space–time signals for noncoherent block-fading channels where the channel state information is not known a priori at the transmitter and the receiver is considered. In particular, a new algebraic formulation for the diversity advantage design criterion is developed. The new criterion encompasses, as a special case, the well-known diversity advantage for unitary space–time signals and, more importantly, applies to arbitrary signaling schemes and arbitrary channel distributions. This criterion is used to establish the optimal diversity-versus-rate tradeoff for training based schemes in block-fading channels. Our results are then specialized to the class of affine space–time signals which allows for a low complexity decoder. Within this class, space–time constellations based on the threaded algebraic space–time (TAST) architecture are considered. These constellations achieve the optimal diversity-versus-rate tradeoff over noncoherent block-fading channels and outperform previously proposed codes in the considered scenarios as demonstrated by the numerical results. Using the analytical and numerical results developed in this paper, nonunitary space–time codes are argued to offer certain advantages in block-fading channels where the appropriate use of coherent space–time codes is shown to offer a very efficient solution to the noncoherent space–time communication paradigm