Title :
Multidimensional Binary Repetition Codes
Author :
Loskot, Pavel ; Beaulieu, Norman C.
Author_Institution :
Dept. of Electr. & Comput. Eng., Alberta Univ., Edmonton, Alta.
Abstract :
Cyclic shifts of the binary codewords in multiple dimensions are used to construct a novel class of multidimensional binary block repetition codes. This construction is well suited as an inner encoding scheme for concatenated one-dimensional outer codewords to increase their minimum Hamming distance without increasing the transmission bandwidth. Two design criteria for multidimensional binary repetition codes are given, and an efficient algorithm to search for good codes is presented. The construction is illustrated using examples of the proposed codes in two and three dimensions. The union bound on the bit-error rate is used to optimize the transmission energy distribution over the codewords to improve the transmission reliability.
Keywords :
Hamming codes; binary codes; concatenated codes; cyclic codes; encoding; error statistics; Hamming distance; binary codewords; bit-error rate; concatenated 1D outer codewords; cyclic shifts; inner encoding scheme; multidimensional binary block repetition codes; transmission bandwidth; transmission energy distribution; transmission reliability; Algorithm design and analysis; Bandwidth; Bit error rate; Communications Society; Concatenated codes; Encoding; Hamming distance; Laboratories; Multidimensional systems; Wireless communication;
Conference_Titel :
Wireless Communications and Networking Conference, 2007.WCNC 2007. IEEE
Conference_Location :
Kowloon
Print_ISBN :
1-4244-0658-7
Electronic_ISBN :
1525-3511
DOI :
10.1109/WCNC.2007.133
