NDLI: Error Exponents for Asymmetric Two-User Discrete Memoryless Source-Channel Coding Systems

Content Provider	IEEE Xplore Digital Library
Author	Yangfan Zhong Alajaji, F. Campbell, L.L.
Copyright Year	1963
Abstract	We study the transmission of two discrete memoryless correlated sources, consisting of a common and a private source, over a discrete memoryless multiterminal channel with two transmitters and two receivers. At the transmitter side, the common source is observed by both encoders but the private source can only be accessed by one encoder. At the receiver side, both decoders need to reconstruct the common source, but only one decoder needs to reconstruct the private source. We hence refer to this system by the asymmetric two-user source-channel coding system. We derive a universally achievable lossless joint source-channel coding (JSCC) error exponent pair for the two-user system by using a technique which generalizes Csiszar's type-packing lemma (1980) for the point-to-point (single-user) discrete memoryless source-channel system. We next investigate the largest convergence rate of asymptotic exponential decay of the system (overall) probability of erroneous transmission, i.e., the system JSCC error exponent. We obtain lower and upper bounds for the exponent. As a consequence, we establish a JSCC theorem with single-letter characterization and we show that the separation principle holds for the asymmetric two-user scenario. By introducing common randomization, we also provide a formula for the tandem (separate) source-channel coding error exponent. Numerical examples show that for a large class of systems consisting of two correlated sources and an asymmetric multiple-access channel with additive noise, the JSCC error exponent considerably outperforms the corresponding tandem coding error exponent.
Sponsorship	IEEE Information Theory Society
Starting Page	1487
Ending Page	1518
Page Count	32
File Size	840294
File Format	PDF
ISSN	00189448
Volume Number	55
Issue Number	4
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-04-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Decoding Transmitters Channel coding Receivers Interference channels Convergence Upper bound Additive noise Broadcasting Councils type packing lemma Asymmetric two-user source–channel system broadcast channel common and private message common randomization discrete memoryless correlated sources error exponent multiple-access channel lossless joint source-channel coding (JSCC) separation principle tandem coding
Content Type	Text
Resource Type	Article
Subject	Library and Information Sciences Information Systems Computer Science Applications

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