Universal coding with minimum probability of codeword length overflow

Lossless block-to-variable length source coding is studied for finite-state, finite-alphabet sources. The aim is to minimize the probability that the normalized length of the codeword will exceed a given threshold B, subject to the Kraft inequality. It is shown that the Lempel-Ziv algorithm (1978) a...

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Vydáno v:IEEE transactions on information theory Ročník 37; číslo 3; s. 556 - 563
Hlavní autor: Merhav, N.
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York, NY IEEE 01.05.1991
Institute of Electrical and Electronics Engineers
Témata:
Applied sciences
Block codes
Buffer overflow
Coding, codes
Convergence
Cost function
Entropy
Exact sciences and technology
H infinity control
Information, signal and communications theory
Performance loss
Signal and communications theory
Source coding
Springs
Statistics
Telecommunications and information theory
Overflow(computer arithmetics)
Probability
Codeword
Buffer system
Length
Code
ISSN:0018-9448, 1557-9654
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Shrnutí:Lossless block-to-variable length source coding is studied for finite-state, finite-alphabet sources. The aim is to minimize the probability that the normalized length of the codeword will exceed a given threshold B, subject to the Kraft inequality. It is shown that the Lempel-Ziv algorithm (1978) asymptotically attains the optimal performance in the sense just defined, independently of the source and the value of B. For the subclass of unifilar Markov sources, faster convergence to the asymptotic optimum performance can be accomplished by using the minimum-description-length universal code for this subclass. It is demonstrated that these universal codes are also nearly optimal in the sense of minimizing buffer overflow probability, and asymptotically optimal in a competitive sense.< >
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ISSN:0018-9448
1557-9654
DOI:10.1109/18.79912