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Superimposed codes for multiaccess binary adder channel

Fan, P. Z. and Darnell, M. and Honary, Bahram (1995) Superimposed codes for multiaccess binary adder channel. IEEE Transactions on Information Theory, 41 (4). pp. 1178-1182. ISSN 0018-9448

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Abstract

Superimposed codes for multiple-access communication in a binary adder channel are analyzed. The superposition mechanism used in this correspondence is ordinary addition. Each user is assigned a codeword from a superimposed code. It is proved that every constant-weight code C of weight w and maximal correlation c corresponds to a subclass of a disjunctive code D of order m<w/c. Therefore, any m or less codewords in C which are used at the same time yield a uniquely decodable code combination at the output of the adder channel. In the noisy case, for each subset A⊆C of size |A|⩽m≪T the receiver is able to determine the number of active users and to distinguish between the active users if the weight of the error pattern e satisfies Wt(e)<min{w-c|A|, w/2}. Decoding algorithms for both the noiseless and the noisy cases are proposed

Item Type: Article
Journal or Publication Title: IEEE Transactions on Information Theory
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Departments: Faculty of Science and Technology > School of Computing & Communications
ID Code: 60787
Deposited By: ep_importer_pure
Deposited On: 04 Jan 2013 14:37
Refereed?: Yes
Published?: Published
Last Modified: 29 Oct 2017 02:53
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/60787

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