Characterization of totally real subfields of 2-power cyclotomic fields and applications to signal set design
A classification of all totally real subfields K of cyclotomic fields Q(ξ2r), for any r ≥ 4, and the fully-diverse related versions of the Zn-lattice are presented along with closed-form expressions for their minimum product distance. Any totally real subfield K of Q(ξ2r) must be of the form K = Q(ξ...
| Autores: | , , , |
|---|---|
| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2024 |
| País: | Brasil |
| Recursos: | Universidade Estadual Paulista (UNESP) |
| Repositorio: | Repositório Institucional da UNESP |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.unesp.br:11449/308167 |
| Acesso em linha: | http://dx.doi.org/10.13069/jacodesmath.v11i2.207 https://hdl.handle.net/11449/308167 |
| Access Level: | acceso abierto |
| Palavra-chave: | Algebraic lattices Cyclotomic fields Minimum product distance Signal design |
| Resumo: | A classification of all totally real subfields K of cyclotomic fields Q(ξ2r), for any r ≥ 4, and the fully-diverse related versions of the Zn-lattice are presented along with closed-form expressions for their minimum product distance. Any totally real subfield K of Q(ξ2r) must be of the form K = Q(ξ2s +ξ−1 2s), where s = r−j for some 0 ≤ j ≤ r−3. Signal constellations for transmitting information over both Gaussian and Rayleigh fading channels (which can be useful for mobile communications) can be carved out of those lattices. |
|---|