TY - GEN

T1 - On the ∈-overflow probability of lossless codes

AU - Nomura, Ryo

AU - Matsushima, Toshiyasu

AU - Hirasawa, Shigeichi

PY - 2007/12/1

Y1 - 2007/12/1

N2 - In this paper, we generalize the achievability of variable-length coding from two viewpoints. One is the definition of an overflow probability, and the other is the definition of an achievability. We define the overflow probability as the probability of codeword length, not per symbol, is larger than ηn and we introduce the ε-achievability of variable-length codes that implies an existence of a code for the source under the condition that the overflow probability is smaller than or equal to ε. Then we show that the ε-achievability of variable-length codes is essentially equivalent to the ε-achievability of fixed-length codes for general sources. Moreover we show the condition of ε-achievability for some restricted sources given ε.

AB - In this paper, we generalize the achievability of variable-length coding from two viewpoints. One is the definition of an overflow probability, and the other is the definition of an achievability. We define the overflow probability as the probability of codeword length, not per symbol, is larger than ηn and we introduce the ε-achievability of variable-length codes that implies an existence of a code for the source under the condition that the overflow probability is smaller than or equal to ε. Then we show that the ε-achievability of variable-length codes is essentially equivalent to the ε-achievability of fixed-length codes for general sources. Moreover we show the condition of ε-achievability for some restricted sources given ε.

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U2 - 10.1109/ISIT.2007.4557265

DO - 10.1109/ISIT.2007.4557265

M3 - Conference contribution

AN - SCOPUS:51649107856

SN - 1424414296

SN - 9781424414291

T3 - IEEE International Symposium on Information Theory - Proceedings

SP - 441

EP - 445

BT - Proceedings - 2007 IEEE International Symposium on Information Theory, ISIT 2007

T2 - 2007 IEEE International Symposium on Information Theory, ISIT 2007

Y2 - 24 June 2007 through 29 June 2007

ER -