Article

# Error Exponent Regions for Gaussian Broadcast and Multiple-Access Channels

MStar Semicond., ChuPei Hsinchu Hsien, Chupei
IEEE Transactions on Information Theory (impact factor: 3.01). 08/2008; DOI:10.1109/TIT.2008.924691
Source: IEEE Xplore

ABSTRACT In modern communication systems, different users have different requirements for quality of service (QoS). In this work, QoS refers to the average codeword error probability experienced by the users in the network. Although several practical schemes (collectively referred to as unequal error protection schemes) have been studied in the literature and are implemented in existing systems, the corresponding performance limits have not been studied in an information-theoretic framework. In this paper, an information-theoretic framework is considered to study communication systems which provide heterogeneous reliabilities for the users. This is done by defining individual probabilities of error for the users in the network and obtaining the fundamental tradeoffs of the corresponding error exponents. In particular, we quantify the reliability tradeoff by introducing the notion of error exponent region (EER), which specifies the set of error exponent vectors that are simultaneously achievable by the users for a fixed vector of users' rates. We show the existence of a tradeoff among the users' error exponents by deriving inner and outer bounds for the EER. Using this framework, a system can be realized, which can provide a tradeoff of reliabilities among the users for a fixed vector of users' rates. This adds a completely new dimension to the performance tradeoff in such networks, which is unique to multiterminal communication systems, and is beyond what is given by the conventional performance-versus-rate tradeoff in single-user systems. Although this is a very general concept and can be applied to any multiterminal communication system, in this paper we consider Gaussian broadcast and multiple-access channels (MACs).

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##### Conference Proceeding:Trade-off of lossless source coding error exponents
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ABSTRACT: We consider the lossless encoding of two simultaneous sources. The encoder may choose to discriminate against one source and hence the error exponents for the two sources can be different. The goal of this paper is to understand the region of achievable error-exponent pairs for lossless source coding. In the fixed-block-length case, the error exponent region is completely characterized and is found to be relatively trivial. However, in the streaming context, it is shown that there exists a non-trivial trade-off between the two error exponents. Both an inner bound and an outer bound are given for that case, but they do not match. The outer bound comes from a multi-stream version of the uncertainty-focusing bound.
Information Theory, 2008. ISIT 2008. IEEE International Symposium on; 08/2008

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11 Jan 2013

### Keywords

corresponding error exponents

corresponding performance limits

defining individual probabilities

different users

error exponent region

error exponent vectors

general concept

information-theoretic framework

modern communication systems

multiterminal communication system

multiterminal communication systems

provide heterogeneous reliabilities

single-user systems

study communication systems

unequal error protection schemes

users' error exponents

users' rates