Name
Title | ||
|---|---|---|
Factorization properties of the optimal signaling distribution of multi-dimensional QAM constellations |
Abstract | ||
|---|---|---|
In this work we study the properties of the optimal Probability Mass Function (PMF) of a discrete input to a general Multiple Input Multiple Output (MIMO) channel. We prove that when the input constellation is constructed as a Cartesian product of 1-dimensional constellations, the optimal PMF factorizes into the product of the marginal 1D PMFs. This confirms the conjecture made in [1], which allows for optimizing the input PMF efficiently when the rank of the MIMO channel grows. The proof is built upon the iterative Blahut-Arimoto algorithm. We show that if the initial PMF is factorized, the PMF on each successive step is also factorized. Since the algorithm converges to the optimal PMF, it must therefore also be factorized. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1109/ISCCSP.2014.6877894 | ISCCSP |
Keywords | Field | DocType |
awgn channels,mimo communication,iterative methods,probability,quadrature amplitude modulation,telecommunication signalling,1-dimensional constellations,awgn channel,cartesian product,mimo channel,factorization properties,input constellation,iterative blahut-arimoto algorithm,marginal 1d pmfs,multidimensional qam constellations,multiple input multiple output channel,optimal probability mass function,optimal signaling distribution,constellation shaping,mimo,qam | Topology,Multi dimensional,Electronic engineering,Qam constellations,Factorization,Mathematics | Conference |
Citations | PageRank | References |
0 | 0.34 | 4 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yankov, M.P. | 1 | 0 | 0.34 |
| Søren Forchhammer | 2 | 406 | 53.36 |
| Larsen, K.J. | 3 | 0 | 0.34 |
| Lars P. B. Christensen | 4 | 9 | 2.31 |