The minimum average code for finite memoryless monotone sources

M Khosravifard, TA Gulliver… - Proceedings of the …, 2002 - ieeexplore.ieee.org
In this paper, the average probability distribution P~/sup N/~ of equiprobable finite monotone
sources, where N is the number of symbols, is derived and some properties of this …

The minimum average code for finite memoryless monotone sources

M Khosravifard, H Saidi, M Esmaeili… - IEEE transactions on …, 2007 - ieeexplore.ieee.org
The problem of selecting a code for finite monotone sources with N symbols is considered.
The selection criterion is based on minimizing the average redundancy (called Minave …

A new code for encoding all monotone sources with a fixed large alphabet size

H Narimani, M Khosravifard - IEEE Transactions on Information …, 2020 - ieeexplore.ieee.org
The problem of designing a fixed code for encoding all monotone sources with a large
alphabet size n is studied. It is proved that if the code-lengths of a code sequence are of …

On the structure of the minimum average redundancy code for monotone sources

P Rastegari, M Khosravifard… - IEEE …, 2014 - ieeexplore.ieee.org
The source coding problem is considered where the only information known about the
source is the number of symbols n and the order of the symbol probabilities. In this case, the …

Near-optimality of the minimum average redundancy code for almost all monotone sources

H Narimani, M Khosravifard… - IEICE Transactions on …, 2011 - search.ieice.org
Consider the source coding problem of finding the optimal code, in the sense of average
redundancy, for the class of monotone sources with n symbols. The solution of this problem …

How suboptimal is the Shannon code?

H Narimani, M Khosravifard… - IEEE transactions on …, 2012 - ieeexplore.ieee.org
In order to determine how suboptimal the Shannon code is, one should compare its
performance with that of the optimal code, ie, the corresponding Huffman code, in some …

Huffman redundancy for large alphabet sources

H Narimani, M Khosravifard - IEEE Transactions on information …, 2013 - ieeexplore.ieee.org
The performance of optimal prefix-free encoding for memoryless sources with a large
alphabet size is studied. It is shown that the redundancy of the Huffman code for almost all …

Universal codes for finite sequences of integers drawn from a monotone distribution

DP Foster, RA Stine, AJ Wyner - IEEE Transactions on …, 2002 - ieeexplore.ieee.org
We offer two noiseless codes for blocks of integers X/sup n/=(X/sub 1/,..., X/sub n/). We
provide explicit bounds on the relative redundancy that are valid for any distribution F in the …

The Rényi redundancy of generalized Huffman codes

AC Blumer, RJ McEliece - IEEE Transactions on Information …, 1988 - ieeexplore.ieee.org
Huffman's algorithm gives optimal codes, as measured by average codeword length, and
the redundancy can be measured as the difference between the average codeword length …

Minimax redundancy for the class of memoryless sources

Q Xie, AR Barron - IEEE Transactions on Information Theory, 1997 - ieeexplore.ieee.org
Let X/sup n/=(X/sub 1/,..., X/sub n/) be a memoryless source with unknown distribution on a
finite alphabet of size k. We identify the asymptotic minimax coding redundancy for this class …