Title :
On the weight distribution of recursive systematic convolutional codes
Author :
Yoshikawa, Hideki
Author_Institution :
Dept. of Electr. Eng. & Inf. Technol., Tohoku Gakuin Univ., Tagajo
Abstract :
An analytical bound to bit error probability of turbo codes can be derived by weight distribution of recursive systematic convolutional codes. In this paper, the conditional weight enumerating function of terminated recursive systematic convolutional codes is computed. This form can be expressed as a function of number of information bits, and can reduce the computational complexity of calculation of error bounds. Applying these results, it is shown that improved error bound can be obtained by the conditional weight enumerating function of parallel concatenated convolutional codes.
Keywords :
computational complexity; convolutional codes; error statistics; recursive functions; turbo codes; bit error probability; computational complexity; conditional weight enumerating function; terminated recursive systematic convolutional code; turbo code; weight distribution; Block codes; Concatenated codes; Convolutional codes; Error correction codes; Error probability; Information analysis; Information technology; Information theory; Parity check codes; Turbo codes;
Conference_Titel :
Information Theory and Its Applications, 2008. ISITA 2008. International Symposium on
Conference_Location :
Auckland
Print_ISBN :
978-1-4244-2068-1
Electronic_ISBN :
978-1-4244-2069-8
DOI :
10.1109/ISITA.2008.4895622