The relation between block length and reliability for a cascade of AWGN links
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(Published version)
Date
2012
Authors
Subramanian, R.
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Journal Title
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Conference paper
Citation
International Zurich Seminar on Communications (IZS), 2012, pp.71-74
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Conference Name
International Zurich Seminar on Communications (IZS) (29 Feb 2012 : Zurich, Switzerland)
Abstract
This paper presents a fundamental information theoretic scaling law for a heterogeneous cascade of links corrupted by Gaussian noise. For any set of fixed-rate encoding/ decoding strategies applied at the links, it is claimed that a scaling of Θ(log n) in block length is both sufficient and necessary for reliable communication. A proof of this claim is provided using tools from the convergence theory for in homogeneous Markov chains.