Actas de congresos
Uniformity Properties Of Construction C
Registro en:
978-1-5090-1806-2
2016 Ieee International Symposium On Information Theory. Ieee, p. 1516 - 1520, 2016.
WOS:000390098701116
10.1109/ISIT.2016.7541552
Autor
Bollauf
Maiara F.; Zamir
Ram
Institución
Resumen
Construction C (also known as Forney's multi-level code formula) forms a Euclidean code for the additive white Gaussian noise (AWGN) channel from L binary code components. If the component codes are linear, then the minimum distance is the same for all the points, although the kissing number may vary. In fact, while in the single level (L = 1) case it reduces to lattice Construction A, a multi-level Construction C is in general not a lattice. We show that the two-level (L = 2) case is special: a two-level Construction C satisfies Forney's definition for a geometrically uniform constellation. Specifically, every point sees the same configuration of neighbors, up to a reflection of the coordinates in which the lower level code is equal to 1. In contrast, for three levels and up (L >= 3), we construct examples where the distance spectrum varies between the points, hence the constellation is not geometrically uniform. 1516 1520 IEEE International Symposium on Information Theory (ISIT) JUL 10-15, 2016 Barcelona, SPAIN