### Abstract

Multiple antennas are used to increase reliability and bit rate for a given bandwidth. For a fixed transmission rate, discrete input alphabets and no channel state information at the transmitter, optimal space-time codes (STCs) achieving both gains (full rate and full diversity) are well known. However, the complexity of maximum likelihood decoding increases exponentially with the number of space and time dimensions of the STC. Despite praiseworthy efforts to reduce the decoding complexity, optimal STCs are not used in practice in the case of more than two transmit antennas because of complexity reasons. It is generally accepted that reducing the dimension of the STC leads to a reduced diversity order. We show that this is not true for coded communication, assuming the presence of an outer error-correcting code with any coding rate. We propose a new class of full-rate full-diversity STCs; more specifically, time-varying space-only codes. This new class is referred to as EMI codes. Full diversity is proven in terms of outage probability, for the case where the number of receive antennas is larger than or equal to the number of transmit antennas, and is numerically verified in terms of outage and word error probability using LDPC codes.

Original language | English |
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Title of host publication | 2012 IEEE International Symposium on Information Theory Proceedings, ISIT 2012 |

Pages | 2821-2825 |

Number of pages | 5 |

DOIs | |

Publication status | Published - 22 Oct 2012 |

Event | 2012 IEEE International Symposium on Information Theory, ISIT 2012 - Cambridge, MA, United States Duration: 1 Jul 2012 → 6 Jul 2012 |

### Other

Other | 2012 IEEE International Symposium on Information Theory, ISIT 2012 |
---|---|

Country | United States |

City | Cambridge, MA |

Period | 1/7/12 → 6/7/12 |

### Fingerprint

### ASJC Scopus subject areas

- Theoretical Computer Science
- Information Systems
- Modelling and Simulation
- Applied Mathematics

### Cite this

*2012 IEEE International Symposium on Information Theory Proceedings, ISIT 2012*(pp. 2821-2825). [6284038] https://doi.org/10.1109/ISIT.2012.6284038

**Time-varying space-only codes.** / Duyck, Dieter; Moeneclaey, Marc; Yang, Sheng; Takawira, Fambirai; Boutros, Joseph.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*2012 IEEE International Symposium on Information Theory Proceedings, ISIT 2012.*, 6284038, pp. 2821-2825, 2012 IEEE International Symposium on Information Theory, ISIT 2012, Cambridge, MA, United States, 1/7/12. https://doi.org/10.1109/ISIT.2012.6284038

}

TY - GEN

T1 - Time-varying space-only codes

AU - Duyck, Dieter

AU - Moeneclaey, Marc

AU - Yang, Sheng

AU - Takawira, Fambirai

AU - Boutros, Joseph

PY - 2012/10/22

Y1 - 2012/10/22

N2 - Multiple antennas are used to increase reliability and bit rate for a given bandwidth. For a fixed transmission rate, discrete input alphabets and no channel state information at the transmitter, optimal space-time codes (STCs) achieving both gains (full rate and full diversity) are well known. However, the complexity of maximum likelihood decoding increases exponentially with the number of space and time dimensions of the STC. Despite praiseworthy efforts to reduce the decoding complexity, optimal STCs are not used in practice in the case of more than two transmit antennas because of complexity reasons. It is generally accepted that reducing the dimension of the STC leads to a reduced diversity order. We show that this is not true for coded communication, assuming the presence of an outer error-correcting code with any coding rate. We propose a new class of full-rate full-diversity STCs; more specifically, time-varying space-only codes. This new class is referred to as EMI codes. Full diversity is proven in terms of outage probability, for the case where the number of receive antennas is larger than or equal to the number of transmit antennas, and is numerically verified in terms of outage and word error probability using LDPC codes.

AB - Multiple antennas are used to increase reliability and bit rate for a given bandwidth. For a fixed transmission rate, discrete input alphabets and no channel state information at the transmitter, optimal space-time codes (STCs) achieving both gains (full rate and full diversity) are well known. However, the complexity of maximum likelihood decoding increases exponentially with the number of space and time dimensions of the STC. Despite praiseworthy efforts to reduce the decoding complexity, optimal STCs are not used in practice in the case of more than two transmit antennas because of complexity reasons. It is generally accepted that reducing the dimension of the STC leads to a reduced diversity order. We show that this is not true for coded communication, assuming the presence of an outer error-correcting code with any coding rate. We propose a new class of full-rate full-diversity STCs; more specifically, time-varying space-only codes. This new class is referred to as EMI codes. Full diversity is proven in terms of outage probability, for the case where the number of receive antennas is larger than or equal to the number of transmit antennas, and is numerically verified in terms of outage and word error probability using LDPC codes.

UR - http://www.scopus.com/inward/record.url?scp=84867514317&partnerID=8YFLogxK

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U2 - 10.1109/ISIT.2012.6284038

DO - 10.1109/ISIT.2012.6284038

M3 - Conference contribution

SN - 9781467325790

SP - 2821

EP - 2825

BT - 2012 IEEE International Symposium on Information Theory Proceedings, ISIT 2012

ER -