Coding capacity for a class of additive channels
- 1 March 1991
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Information Theory
- Vol. 37 (2) , 233-243
- https://doi.org/10.1109/18.75238
Abstract
Coding capacity is considered for a class of additive dimension-limited channels. The channels may be with or without memory, stationary or nonstationary. The constraint is partially given in terms of an increasing family of finite-dimensional subspaces. A general expression for the capacity is obtained, which depends on the family of subspaces and the relation between the noise covariance and the covariance giving the energy-frequency constraint on the transmitted signal. This result holds for all classical discrete-time Gaussian channels and for continuous-time Gaussian channels with fixed time of transmission, so long as a peak energy constraint is used on the codewords. The expression also provides upper bounds for a class of non-Gaussian channels. Several results are obtained that aid in calculation of capacity for specific applications. For this class of channels, it is shown that coding capacity is equal to information capacity. Error bounds are given for Gaussian channelsKeywords
This publication has 9 references indexed in Scilit:
- Information capacity of the stationary Gaussian channelIEEE Transactions on Information Theory, 1991
- Gaussian feedback capacityIEEE Transactions on Information Theory, 1989
- Capacity of the mismatched Gaussian channelIEEE Transactions on Information Theory, 1987
- On the capacity of channels with Gaussian and non-Gaussian noiseInformation and Control, 1981
- On the capacity of channels with additive non-gaussian noiseInformation and Control, 1978
- On Equivalence of Probability MeasuresThe Annals of Probability, 1973
- On linear statistical problems in stochastic processesCzechoslovak Mathematical Journal, 1962
- Toeplitz Forms and Their ApplicationsPublished by University of California Press ,1958
- A Mathematical Theory of CommunicationBell System Technical Journal, 1948