Name
Title | ||
|---|---|---|
On the Capacity of the Peak Power Constrained Vector Gaussian Channel: An Estimation Theoretic Perspective. |
Abstract | ||
|---|---|---|
This paper studies the capacity of an n-dimensional vector Gaussian noise channel subject to the constraint that an input must lie in the ball of radius R centered at the origin. It is known that in this setting the optimizing input distribution is supported on a finite number of concentric spheres. However, the number, the positions and the probabilities of the spheres are generally unknown. This paper characterizes necessary and sufficient conditions on the constraint R such that the input distribution supported on a single sphere is optimal. The maximum Rn, such that using only a single sphere is optimal, is shown to be a solution of an integral equation. Moreover, it is shown that Rn scales as √n and the exact limit of Rn/√n is found. |
Year | Venue | Field |
|---|---|---|
2018 | IEEE Trans. Information Theory | Discrete mathematics,Finite set,Concentric,Mathematical analysis,Gaussian channels,Communication channel,Integral equation,SPHERES,Gaussian noise,Mathematics |
DocType | Volume | Citations |
Journal | abs/1804.08524 | 0 |
PageRank | References | Authors |
0.34 | 9 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Alex Dytso | 1 | 45 | 20.03 |
| H. V. Poor | 2 | 25411 | 1951.66 |
| Shlomo Shamai | 3 | 4531 | 410.89 |