Name
Abstract | ||
|---|---|---|
The large-system decoupling property of a MAP estimator is studied when it estimates the i.i.d. vector x from the observation y = Ax + z with A being chosen from a wide range of matrix ensembles, and the noise vector z being i.i.d. and Gaussian. Using the replica method, we show that the marginal joint distribution of any two corresponding input and output symbols converges to a deterministic distribution which describes the input-output distribution of a single user system followed by a MAP estimator. Under the bRSB assumption, the single user system is a scalar channel with additive noise where the noise term is given by the sum of an independent Gaussian random variable and b correlated interference terms. As the bRSB assumption reduces to RS, the interference terms vanish which results in the formerly studied RS decoupling principle. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1109/ITW.2016.7606860 | 2016 IEEE Information Theory Workshop (ITW) |
Keywords | DocType | Volume |
RSB decoupling property,MAP estimators,marginal joint distribution,deterministic distribution,input-output distribution,independent Gaussian random variable | Journal | abs/1611.02629 |
ISBN | Citations | PageRank |
978-1-5090-1091-2 | 4 | 0.50 |
References | Authors | |
6 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ali Bereyhi | 1 | 37 | 14.09 |
| R. Muller | 2 | 1206 | 124.92 |
| Hermann Schulz-Baldes | 3 | 5 | 1.22 |