## Abstract

A new generalized sphere decoding algorithm is proposed for underdetermined MIMO systems with fewer receive antennas N than transmit antennas M. The proposed algorithm is significantly faster than the existing generalized sphere decoding algorithms. The basic idea is to partition the transmitted signal vector into two subvectors x_{a} and x_{b} with N - 1 and M - N + 1 elements respectively. After some simple transformations, an outer layer Sphere Decoder (SD) can be used to choose proper x_{b} and then use an inner layer SD to decide x_{a}, thus the whole transmitted signal vector is obtained. Simulation results show that Double Layer Sphere Decoding (DLSD) has far less complexity than the existing Generalized Sphere Decoding (GSDs).

Original language | English |
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Pages (from-to) | 1114-1117 |

Number of pages | 4 |

Journal | Dianzi Yu Xinxi Xuebao/Journal of Electronics and Information Technology |

Volume | 27 |

Issue number | 7 |

Publication status | Published - 2005 |

## Keywords

- Double layer sphere decoding algorithm,
- Generalized sphere decoding algorithm
- MIMO
- Wireless communications