Multiuser signaling in the symbol-synchronous AWGN channel

Multiuser signal set design for the energy-constrained linear real-additive symbol-synchronous additive white Gaussian noise channel is investigated in this correspondence. An argument is presented showing the suboptimality of binary alphabets which, in turn, uncovers a rule for the formation of mul...

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Bibliographic Details
Published in:	IEEE transactions on information theory Vol. 41; no. 4; pp. 1174 - 1178
Main Authors:	Ross, J.A.F., Taylor, D.P.
Format:	Journal Article
Language:	English
Published:	New York, NY IEEE 01-07-1995 Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:	Additive white noise Applied sciences AWGN channels Binary system Communications Convolutional codes Delay effects Detectors Euclidean distance Exact sciences and technology Gaussian noise Information technology Probability Signal design Signal detection Signaling Systems, networks and services of telecommunications Telecommunications Telecommunications and information theory Transmission and modulation (techniques and equipments) Signaling Communication channels (information theory) Coding Redundancy Gaussian channel Synchronous transmission Information transmission
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Summary:	Multiuser signal set design for the energy-constrained linear real-additive symbol-synchronous additive white Gaussian noise channel is investigated in this correspondence. An argument is presented showing the suboptimality of binary alphabets which, in turn, uncovers a rule for the formation of multiuser signal sets. This simple rule leads to a theorem stating the dimensionality at which additional users can be added to a multiuser system without decreasing the minimum Euclidean distance. Specific vector sets with the desired property are then constructed as examples and some generalizations are discussed. The theorem may also be used as a platform for the design of more efficient multiuser codes incorporating redundant signal sets. Two such codes are presented. In particular, a code combining four-dimensional unit-energy signals with a rate-2/3 convolutional code obtains a summed rate of 1.75 bits/dimension in the two-user adder channel with received minimum Euclidean distance of 2.< >
Bibliography:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	0018-9448 1557-9654
DOI:	10.1109/18.391265