Abstract
In this article, the first general constructions of fast-decodable, more specifically (conditionally) g-group decodable, space-time block codes for the nonorthogonal amplify and forward (NAF) multiple-input multiple-output (MIMO) relay channel under the half-duplex constraint are proposed. In this scenario, the source and the intermediate relays used for data amplification are allowed to employ multiple antennas for data transmission and reception. The worst-case decoding complexity of the obtained codes is reduced by up to 75%. In addition to being fast-decodable, the proposed codes achieve full-diversity and have nonvanishing determinants, which has been shown to be useful for achieving the optimal diversity-multiplexing tradeoff (DMT) of the NAF channel. Furthermore, it is shown that the same techniques as in the cooperative scenario can be utilized to achieve fast-decodability for K-user MIMO multiple-access channel (MAC) space-time block codes. The resulting codes in addition exhibit the conditional nonvanishing determinant property which, for its part, has been shown to be useful for achieving the optimal MAC-DMT.
| Original language | English |
|---|---|
| Article number | 7313045 |
| Pages (from-to) | 1754-1767 |
| Number of pages | 14 |
| Journal | IEEE Transactions on Wireless Communications |
| Volume | 15 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1 Mar 2016 |
| MoE publication type | A1 Journal article-refereed |
Funding
The work of A. Barreal and C. Hollanti was supported in part by the Academy of Finland under Grant 276031, Grant 282938, and Grant 283262, and in part by a grant from Magnus Ehrnrooth Foundation, Finland. The support from the European Science Foundation under the COST Action IC1104 is also gratefully acknowledged. The work of N. Markin was supported by the Singapore National Research Foundation under Research Grant NRF-RF2009-07. Parts of this paper were presented at MTNS12 [1] and ISIT12 [2]. The associate editor coordinating the review of this paper and approving it for publication was X. Zhou.
Keywords
- Central simple algebras
- distributed space-time block codes
- fading channels
- fast-decodability
- lattices
- multiple-access channel (MAC)
- multiple-input multiple-output (MIMO)
- relay channel
- BLOCK-CODES
- DIVISION-ALGEBRAS
- FULL-DIVERSITY
- CONSTRUCTIONS
- COMPLEXITY
- NETWORKS
- DESIGN
- STBCS