### Abstract

A new generalized sphere decoder (GSD), called a double-layer sphere decoder (DLSD), is proposed for under-determined MIMO systems with fewer receive antennas N than transmit antennas M. The proposed algorithm is significantly faster than those introduced in [1] and [2]. The basic idea is to partition the transmitted signal vector into two subvectors with M - N + 1 and N - 1 elements. After some simple transformations, we can use an outer layer sphere decoder (SD) to choose proper subvectors of length M - N + 1 and then use an inner layer SD to decide the other subvector of length N - 1, thus the whole transmitted signal vector is obtained. Simulation results show that DLSD has far less complexity than the existing GSDs.

Original language | English |
---|---|

Pages (from-to) | 41-44 |

Number of pages | 4 |

Journal | IEEE Signal Processing Letters |

Volume | 12 |

Issue number | 1 |

DOIs | |

Publication status | Published - 20 Dec 2004 |

### Keywords

- Double-layer sphere decoder
- Generalized sphere decoder
- MIMO
- Wireless communication

## Fingerprint Dive into the research topics of 'A new approach for fast generalized sphere decoding in MIMO Systems'. Together they form a unique fingerprint.

## Cite this

*IEEE Signal Processing Letters*,

*12*(1), 41-44. https://doi.org/10.1109/LSP.2004.840142