Abstract | ||
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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 |
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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. | 1 | 5 | 0.44 |
Stafford, E. | 2 | 5 | 0.44 |
Beivide, R. | 3 | 40 | 2.63 |
Camarero, C. | 4 | 11 | 1.04 |