Name
Abstract | ||
|---|---|---|
A novel coding scheme applicable in networks with single antenna nodes is
proposed. This scheme converts a single antenna system to an equivalent
Multiple Input Multiple Output (MIMO) system with fractional dimensions.
Interference can be aligned along these dimensions and higher Multiplexing
gains can be achieved. Tools from the field of Diophantine approximation in
number theory are used to show that the proposed coding scheme in fact mimics
the traditional schemes used in MIMO systems where each data stream is sent
along a direction and alignment happens when several streams arrive at the same
direction. Two types of constellation are proposed for the encoding part,
namely the single layer constellation and the multi-layer constellation.
Using the single layer constellation, the coding scheme is applied to the
two-user $X$ channel and the three-user Gaussian Interference Channel (GIC). In
case of the two-user $X$ channel, it is proved that the total
Degrees-of-Freedom (DOF), i.e. 4/3, of the channel is achievable almost surely.
This is the first example in which it is shown that a time invariant single
antenna system does not fall short of achieving its total DOF.
Using the multi-layer constellation, the coding scheme is applied to the
symmetric three-user GIC. Achievable DOFs are derived for all channel gains. As
a function of the channel gain, it is observed that the DOF is everywhere
discontinuous. |
Year | Venue | Keywords |
|---|---|---|
2009 | Clinical Orthopaedics and Related Research | degree of freedom,diophantine approximation,number theory,information theory |
Field | DocType | Volume |
LTI system theory,Topology,Mathematical optimization,Control theory,Data stream,MIMO,Communication channel,Interference (wave propagation),Almost surely,Multiplexing,Mathematics,Encoding (memory) | Journal | abs/0908.1 |
Citations | PageRank | References |
72 | 5.08 | 17 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Abolfazl Seyed Motahari | 1 | 370 | 26.78 |
| Shahab Oveis Gharan | 2 | 198 | 16.23 |
| Amir Keyvan Khandani | 3 | 363 | 24.94 |