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Capacity of discrete time Gaussian channel with and without feedback, II

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Abstract

The problem considered in this paper is whether the capacity of a discrete time Gaussian channel is increased by feedback or not. It is well known that the capacity of a white Gaussian channel under the average power constraint is not changed by feedback. We give some conditions under which the capacity of a discrete time Gaussian channel is increased by feedback. It is also shown that there exists a non-white Gaussian channel whose capacity is not increased by feedback.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Kochi University, 780, Kochi, Japan

    Shunsuke Ihara

  2. Department of Mathematics, Faculty of Science, Yamaguchi University, 753, Yamaguchi, Japan

    Kenjiro Yanagi

Authors
  1. Shunsuke Ihara
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  2. Kenjiro Yanagi
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Additional information

Dedicated to Professor Shōzo Koshi on his 60th birthday

Partially supported by University of North Carolina (ONR Contract N00014-84-C-0212).

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Ihara, S., Yanagi, K. Capacity of discrete time Gaussian channel with and without feedback, II. Japan J. Appl. Math. 6, 245–258 (1989). https://doi.org/10.1007/BF03167881

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  • DOI: https://doi.org/10.1007/BF03167881

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