## 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 |
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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

## ASJC Scopus subject areas

- Signal Processing
- Electrical and Electronic Engineering
- Applied Mathematics