Name
Title | ||
|---|---|---|
An asymptotic expression for the information and capacity of a multidimensional channel with weak input signals |
Abstract | ||
|---|---|---|
An asymptotic expression is derived for the Shannon mutual information between the input and output signals for a relatively large class of continuous alphabet memoryless channels in the case of weak input signals, when the input space is multidimensional. The authors extend a result of Ibragimov and Khas'minskii (1972) from the one-dimensional to the N-dimensional case. The asymptotic expression obtained relates the Shannon (1948) mutual information function and the Fisher information matrix. This expression is used to derive an asymptotic expression for the capacity of continuous alphabet memoryless channels with vector-valued weak input signals. This asymptotic capacity involves the largest eigenvalue of the Fisher information matrix evaluated at the zero input signal |
Year | DOI | Venue |
|---|---|---|
1993 | 10.1109/18.259667 | Information Theory, IEEE Transactions |
Keywords | Field | DocType |
multidimensional channel,zero input signal,weak input signal,input space,asymptotic capacity,continuous alphabet memoryless channel,fisher information matrix,vector-valued weak input signal,mutual information function,asymptotic expression,shannon mutual information,eigenvalue,mutual information,multidimensional systems,entropy,information theory,convolution,channel capacity,artificial intelligence,gaussian noise | Information theory,Discrete mathematics,Communication channel,Input/output,Mutual information,Fisher information,Channel capacity,Mathematics,Eigenvalues and eigenvectors,Alphabet | Journal |
Volume | Issue | ISSN |
39 | 5 | 0018-9448 |
Citations | PageRank | References |
26 | 2.83 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Vyacheslav V. Prelov | 1 | 145 | 29.59 |
| E. C. van der Meulen | 2 | 87 | 23.68 |