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Capacity of dimension-limited channels. (English) Zbl 0726.94003

Summary: Capacity is determined 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.

MSC:

94A40 Channel models (including quantum) in information and communication theory
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