Paper Info
Title
Cube-Split: A Structured Grassmannian Constellation for Non-Coherent SIMO Communications
Abstract
In this paper, we propose a practical structured constellation for non-coherent communication with a single transmit antenna over Rayleigh flat and block fading channel without instantaneous channel state information. The constellation symbols belong to the Grassmannian of lines and are defined up to a complex scaling. The constellation is generated by partitioning the Grassmannian of lines into a collection of bent hypercubes and defining a mapping onto each of these bent hypercubes such that the resulting symbols are approximately uniformly distributed on the Grassmannian. With a reasonable choice of parameters, this so-called cube-split constellation has higher packing efficiency, represented by the minimum distance, than the existing structured constellations. Furthermore, exploiting the constellation structure, we propose low-complexity greedy symbol decoder and log-likelihood ratio computation, as well as an efficient way to associate it to a multilevel code with multistage decoding. Numerical results show that the performance of the cube-split constellation is close to that of a numerically optimized constellation and better than other structured constellations. It also outperforms a coherent pilot-based scheme in terms of error probability and achievable data rate in the regime of short coherence time and large constellation size.
Year
DOI
Venue
2020
10.1109/TWC.2019.2959781
IEEE Transactions on Wireless Communications
Keywords
DocType
Volume
Non-coherent communications,block fading,SIMO channel,Grassmannian constellations
Journal
19
Issue
ISSN
Citations 
3
1536-1276
3
PageRank 
References 
Authors
0.38
0
4
Name
Order
Citations
PageRank
Khac-Hoang Ngo1131.79
Alexis Decurninge2317.78
Maxime Guillaud331530.64
Sheng Yang428633.29