Title :
A Family of
-Ary Signature Codes for Noisy Multiple-Access Adder Channel
Author :
Shan Lu ; Wei Hou ; Jun Cheng
Author_Institution :
Dept. of Intell. Inf. Eng. & Sci., Doshisha Univ., Kyoto, Japan
Abstract :
A coding scheme of (k+1) -ary error-correcting signature codes for a noisy multiple-access adder channel is proposed. Given a signature matrix A and a difference matrix D=D+ - D- a priori, a larger signature matrix is obtained by replacing each element in the Hadamard matrix with A , or D+ , or D- depending on the values of the elements and their locations in the Hadamard matrix. The set of rows in the proposed matrix gives an error-correcting signature code. Introducing a difference matrix makes it possible to construct an error-correcting signature code whose sum rate is increased with an increase in the order of the Hadamard matrix. Either binary or non-binary signature codes are constructed when the pairs of matrices A and D are given.
Keywords :
Hadamard matrices; binary codes; channel coding; error correction codes; multi-access systems; (k+1)-ary error correcting signature code; Hadamard matrix; binary code; difference matrix; noisy multiple access adder channel; nonbinary signature code; signature matrix; Adders; Encoding; Error correction; Error correction codes; Noise; Noise measurement; Receivers; Hadamard matrix; Signature code; error-correcting code; multiple-access adder channel; multiuser code;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2015.2479219