Title
Graph-based metrics over QAM constellations
Abstract
In order to propose a new metric over QAM constellations, diagonal Gaussian graphs defined over quotients of the Gaussian integers are introduced in this paper. Distance properties of the constellations are detailed by means of the vertex-to-vertex distribution of this family of graphs. Moreover, perfect codes for this metric are considered. Finally, notable subgraphs of diagonal Gaussian graphs are studied which leads to relate the proposed metric to other well-known graph-based metrics such as the Lee distance.
Year
DOI
Venue
2008
10.1109/ISIT.2008.4595440
Toronto, ON
Keywords
Field
DocType
Gaussian distribution,codes,graph theory,quadrature amplitude modulation,Gaussian integers,Lee distance,QAM constellations,diagonal Gaussian graphs,graph-based metrics,notable subgraphs,perfect codes,vertex-to-vertex distribution
Graph theory,Diagonal,Gaussian integer,Discrete mathematics,Lee distance,Combinatorics,Computer science,Chordal graph,Gaussian,Hamming bound,Metric dimension
Conference
ISBN
Citations 
PageRank 
978-1-4244-2257-9
5
0.44
References 
Authors
9
4
Name
Order
Citations
PageRank
Martinez, C.150.44
Stafford, E.250.44
Beivide, R.3402.63
Camarero, C.4111.04