Abstract
In order to discuss communication processes consistently for a Gaussian input with a Gaussian channel on an infinite dimensional Hilbert space, we introduce the entropy functional of an input source and the mutual entropy functional for a Gaussian channel and show a fundamental inequality for communication processes.
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(Dedicated to Professor H. Umegaki on his 60th birthday)
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Ohya, M., Watanabe, N. A new treatment of communication processes with Gaussian channels. Japan J. Appl. Math. 3, 197–206 (1986). https://doi.org/10.1007/BF03167097
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DOI: https://doi.org/10.1007/BF03167097