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Universal redundancy rates do not exist

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1 Author(s)
Shields, P. ; Dept. of Math., Toledo Univ., OH, USA

The expected redundancy per symbol of an n-block prefix code Cn on a source μ measures how far the code is from being optimal for that source. The existence of sequences of codes with expected redundancy per symbol of O((log n)/n) for `nice' classes of sources, such as Markov sources of a given order, is well known. It is shown that some restriction on the class of processes is necessary in order to obtain such redundancy bounds, for there is no universal redundancy rate for any sequence of prefix codes on the class of all ergodic sources

Published in:

Information Theory, IEEE Transactions on  (Volume:39 ,  Issue: 2 )

Date of Publication:

Mar 1993

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