Abstract
The semi-continuous memoryless channel (s.c.m.c.) differs from the d.m.c. only in that the output alphabet may be infinite. (The name “semi-continuous” is of engineering origin.) Without any essential loss of generality we take the space of the output alphabet to be the real line. This is done only to avoid ponderousness, and the extension to the case where the space of the output alphabet is any space on which is defined a σ-algebra of sets is trivial.
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© 1978 Springer-Verlag Berlin Heidelberg
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Wolfowitz, J. (1978). The Semi-Continuous Memoryless Channel. In: Coding Theorems of Information Theory. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 31. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-66822-7_8
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DOI: https://doi.org/10.1007/978-3-642-66822-7_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-66824-1
Online ISBN: 978-3-642-66822-7
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