منابع مشابه
Information Capacity of Gaussian Channels
i Information capacity of Gaussian channels is one of the basic problems of information theory. Shannon's results for white Gaussian channels and Fano's "waterfilling" analysis of stationary Gaussian channels are two of the best-known works of early information theory. Results are given here which extend to a general framework these results and others due to Gallager and to Kadota, Zakai, and Z...
متن کاملGaussian Channels: Information, Estimation and Multiuser Detection
This thesis represents an addition to the theory of information transmission, signal estimation, nonlinear filtering, and multiuser detection over channels with Gaussian noise. The work consists of two parts based on two problem settings—single-user and multiuser—which draw different techniques in their development. The first part considers canonical Gaussian channels with an input of arbitrary...
متن کاملVariational Information Maximization in Gaussian Channels
Recently, we introduced a simple variational bound on mutual information, that resolves some of the difficulties in the application of information theory to machine learning. Here we study a specific application to Gaussian channels. It is well known that PCA may be viewed as the solution to maximizing information transmission between a high dimensional vector x and its low dimensional represen...
متن کاملGaussian Interference Channels: An Information Theoretic Point of View
The purpose of this monograph is to introduce up-to-date capacity theorems for the two-user Gaussian interference channel, including both single-antenna and multiple-antenna cases. The monograph starts with the single antenna case and introduces the Han and Kobayashi achievable rate region and its various subregions. Several capacity outer bounds are then presented; these outer bounds, together...
متن کاملInformation geometry, simulation and complexity in Gaussian random fields
Random fields are useful mathematical objects in the characterization of non-deterministic complex systems. A fundamental issue in the evolution of dynamical systems is how intrinsic properties of such structures change in time. In this paper, we propose to quantify how changes in the spatial dependence structure affect the Riemannian metric tensor that equips the model’s parametric space. Defi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review A
سال: 2010
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.81.062326