Title :
A unified framework for recursive construction of detecting matrices
Author_Institution :
Sch. of Electr. & Electron. Eng., Nanyang Technol. Inst., Singapore
Abstract :
A unified framework for recursive construction of binary, bipolar and ternary detecting matrices is presented. It allows new general constructions to be devised in a systematic manner. These new constructions are summarized in three theorems. Theorem 1 gives a recursive construction of ternary detecting matrices, which include the constructions reported by Cantor and Mills (1966), Chang and Weldon (1979), and by Ferguson (1982 ) as special cases, and is an improvement over Chang´s (1984) shortening technique
Keywords :
matrix algebra; telecommunication channels; Chang shortening technique; binary adder channel; binary detecting matrix; bipolar detecting matrix; multiuser coding problem; recursive construction; ternary detecting matrix; theorems; Decoding; Milling machines; Object detection; Welding;
Conference_Titel :
Information Theory and Communications Workshop, 1999. Proceedings of the 1999 IEEE
Conference_Location :
Kruger National Park
Print_ISBN :
0-7803-5268-8
DOI :
10.1109/ITCOM.1999.781424
