Title :
Spreading Set With Error Correction for Multiple-Access Adder Channel
Author :
Cheng, Jun ; Ohira, Takashi ; Kamoi, Koichi ; Watanabe, Yoichiro
Author_Institution :
Dept. of Intelligent Inf. Eng. & Sci., Doshisha Univ., Kyoto
Abstract :
The necessary and sufficient condition for constructing a spreading set with decodability is investigated. It is proved that for a given delta-decodable spreading set and a qtimesq square matrix H with components 1 or -1, a qdelta-decodable spreading set S* is obtained if and only if H is a Hadamard matrix. In addition, a decoding rule with error correction and message data detection is provided
Keywords :
Hadamard codes; Hadamard matrices; channel coding; decoding; error correction codes; multi-access systems; Hadamard matrix; decodability; error correction; message data detection; multiple-access adder channel; spreading set construction; Additive noise; Communications technology; Data communication; Decoding; Error correction; Error correction codes; Interference cancellation; Multiple access interference; Noise cancellation; Sufficient conditions; Error-correcting code; Hadamard matrix; multiple-access communication (MAC); multiuser code; spreading set;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2006.885470