Title :
Performance of A Nonlinear Dynamical System of Two-Dimensional TPC Decoder
Author :
He, Yejun ; Zhu, Guangxi ; Liu, Deming
Author_Institution :
Huazhong Univ. of Sci. & Technol., Wuhan
Abstract :
The nonlinear dynamical system of turbo code decoders and LDPC code decoders has been analyzed in detail by a lot of researchers. But the dynamical behaviours of turbo product code (TPC) decoders have not been reported so far. In this paper, we model a discrete dynamical system of two-dimensional (2-D) TPC decoders using one input parameter (corresponding to the SNR) and one output parameter (corresponding to E(l)-the mean square value of the posterior probabilities of all the zero code words at the lth iteration), and apply E(l) measures to study their dynamical behaviours. Typical periodic and chaotic behaviours at low SNRs, periodic behaviours at waterfall region and two types of fixed points are discovered and systematically analyzed.
Keywords :
chaos; iterative decoding; nonlinear dynamical systems; parity check codes; product codes; turbo codes; LDPC code; chaotic behaviour; iterative decoding; nonlinear discrete dynamical system; turbo product code; two-dimensional TPC decoder; Artificial satellites; Block codes; Chaotic communication; Iterative algorithms; Iterative decoding; Nonlinear dynamical systems; Parity check codes; Product codes; Satellite broadcasting; Turbo codes; Nonlinear dynamical system; iterative decoding; turbo product codes;
Conference_Titel :
Integration Technology, 2007. ICIT '07. IEEE International Conference on
Conference_Location :
Shenzhen
Print_ISBN :
1-4244-1092-4
Electronic_ISBN :
1-4244-1092-4
DOI :
10.1109/ICITECHNOLOGY.2007.4290418