Abstract
In a conference devoted to studying the ultimate limits of communication systems, we wish to make an information-theoretic contribution. It is surely appropriate to do this, since Shannon’s theorem tells us exactly what the ultimate communication limit of a noisy channel is. Nevertheless, it has seemed to us for some time that the usual models of information theory are inadequate for a study of the ultimate limits of many practical communication and information storage systems, because of a key missing parameter. This missing parameter we call the scaling parameter. In this paper we hope to remedy this situation a bit by introducing a class of models for channels with noise scaling. Rather than give a formal definition immediately, we begin with a “thought experiment” to illustrate what we mean.
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References
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© 1988 Kluwer Academic Publishers
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Abdel-Ghaffar, K., McEliece, R.J. (1988). The Ultimate Limits of Information Density. In: Skwirzynski, J.K. (eds) Performance Limits in Communication Theory and Practice. NATO ASI Series, vol 142. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2794-0_16
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DOI: https://doi.org/10.1007/978-94-009-2794-0_16
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7757-6
Online ISBN: 978-94-009-2794-0
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