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Capacity of dimension-limited channels

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  • Baker, C. R.

Abstract

Capacity is deremined for a class of communication channels containing additive noise. Gaussian noise processes and a large class of non-Gaussian processes are included. The constraint on the transmitted signals is given in terms of an increasing family of finite-dimensional subspaces. For this class of channels, it is shown that coding capacity is equal to the average information capacity. A general expression for the capacity is given, along with results that facilitate its calculation in applications. The results apply to the classical discrete-time channel and to continuous-time channels with fixed signal duration.

Suggested Citation

  • Baker, C. R., 1991. "Capacity of dimension-limited channels," Journal of Multivariate Analysis, Elsevier, vol. 37(2), pages 239-258, May.
    • Handle: RePEc:eee:jmvana:v:37:y:1991:i:2:p:239-258
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