Capacity of dimension-limited channels

C. R. Baker

Journal of Multivariate Analysis, 1991, vol. 37, issue 2, 239-258

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.

Keywords: Shannon; theory; information; theory; entropy; capacity (search for similar items in EconPapers)
Date: 1991
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