Explicit Space-Time Codes Achieving The Diversity-Multiplexing Gain Tradeoff
| dc.creator | Elia, Petros | |
| dc.creator | Kumar, K. Raj | |
| dc.creator | Pawar, Sameer A. | |
| dc.creator | Kumar, P. Vijay | |
| dc.creator | Lu, Hsiao-feng | |
| dc.date | 2006-02-15 | |
| dc.date.accessioned | 2026-07-07T08:16:22Z | |
| dc.date.available | 2026-07-07T08:16:22Z | |
| dc.description | A recent result of Zheng and Tse states that over a quasi-static channel, there exists a fundamental tradeoff, referred to as the diversity-multiplexing gain (D-MG) tradeoff, between the spatial multiplexing gain and the diversity gain that can be simultaneously achieved by a space-time (ST) block code. This tradeoff is precisely known in the case of i.i.d. Rayleigh-fading, for T>= n_t+n_r-1 where T is the number of time slots over which coding takes place and n_t,n_r are the number of transmit and receive antennas respectively. For T < n_t+n_r-1, only upper and lower bounds on the D-MG tradeoff are available. In this paper, we present a complete solution to the problem of explicitly constructing D-MG optimal ST codes, i.e., codes that achieve the D-MG tradeoff for any number of receive antennas. We do this by showing that for the square minimum-delay case when T=n_t=n, cyclic-division-algebra (CDA) based ST codes having the non-vanishing determinant property are D-MG optimal. While constructions of such codes were previously known for restricted values of n, we provide here a construction for such codes that is valid for all n. For the rectangular, T > n_t case, we present two general techniques for building D-MG-optimal rectangular ST codes from their square counterparts. A byproduct of our results establishes that the D-MG tradeoff for all T>= n_t is the same as that previously known to hold for T >= n_t + n_r -1. | |
| dc.description | Revised submission to IEEE Transactions on Information Theory | |
| dc.identifier | https://arxiv.org/abs/cs/0602054 | |
| dc.identifier | http://arxiv.org/abs/cs/0602054 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/133755 | |
| dc.subject | Information Theory | |
| dc.title | Explicit Space-Time Codes Achieving The Diversity-Multiplexing Gain Tradeoff | |
| dc.type | text |