The joint source-channel coding problem is considered. The joint source-channel coding theorem reveals the existence of a code for the pair of the source and the channel under the condition that the error probability is smaller than or equal to ε asymptotically. The separation theorem guarantees that we can achieve the optimal coding performance by using the two-stage coding. In the case that ε = 0, Han showed the joint source-channel coding theorem and the separation theorem for general sources and channels. Furthermore the ε-coding theorem (0 ≤ ε <1) in the similar setting was studied. However, the separation theorem was not revealed since it is difficult in general. So we consider the separation theorem in this setting.
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Ryo NOMURA, Toshiyasu MATSUSHIMA, Shigeichi HIRASAWA, "On the Condition of ε-Transmissible Joint Source-Channel Coding for General Sources and General Channels" in IEICE TRANSACTIONS on Fundamentals,
vol. E92-A, no. 11, pp. 2936-2940, November 2009, doi: 10.1587/transfun.E92.A.2936.
Abstract: The joint source-channel coding problem is considered. The joint source-channel coding theorem reveals the existence of a code for the pair of the source and the channel under the condition that the error probability is smaller than or equal to ε asymptotically. The separation theorem guarantees that we can achieve the optimal coding performance by using the two-stage coding. In the case that ε = 0, Han showed the joint source-channel coding theorem and the separation theorem for general sources and channels. Furthermore the ε-coding theorem (0 ≤ ε <1) in the similar setting was studied. However, the separation theorem was not revealed since it is difficult in general. So we consider the separation theorem in this setting.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E92.A.2936/_p
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@ARTICLE{e92-a_11_2936,
author={Ryo NOMURA, Toshiyasu MATSUSHIMA, Shigeichi HIRASAWA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={On the Condition of ε-Transmissible Joint Source-Channel Coding for General Sources and General Channels},
year={2009},
volume={E92-A},
number={11},
pages={2936-2940},
abstract={The joint source-channel coding problem is considered. The joint source-channel coding theorem reveals the existence of a code for the pair of the source and the channel under the condition that the error probability is smaller than or equal to ε asymptotically. The separation theorem guarantees that we can achieve the optimal coding performance by using the two-stage coding. In the case that ε = 0, Han showed the joint source-channel coding theorem and the separation theorem for general sources and channels. Furthermore the ε-coding theorem (0 ≤ ε <1) in the similar setting was studied. However, the separation theorem was not revealed since it is difficult in general. So we consider the separation theorem in this setting.},
keywords={},
doi={10.1587/transfun.E92.A.2936},
ISSN={1745-1337},
month={November},}
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TY - JOUR
TI - On the Condition of ε-Transmissible Joint Source-Channel Coding for General Sources and General Channels
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2936
EP - 2940
AU - Ryo NOMURA
AU - Toshiyasu MATSUSHIMA
AU - Shigeichi HIRASAWA
PY - 2009
DO - 10.1587/transfun.E92.A.2936
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E92-A
IS - 11
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - November 2009
AB - The joint source-channel coding problem is considered. The joint source-channel coding theorem reveals the existence of a code for the pair of the source and the channel under the condition that the error probability is smaller than or equal to ε asymptotically. The separation theorem guarantees that we can achieve the optimal coding performance by using the two-stage coding. In the case that ε = 0, Han showed the joint source-channel coding theorem and the separation theorem for general sources and channels. Furthermore the ε-coding theorem (0 ≤ ε <1) in the similar setting was studied. However, the separation theorem was not revealed since it is difficult in general. So we consider the separation theorem in this setting.
ER -