Title :
Thresholds of spatially coupled systems via Lyapunov´s method
Author :
Schlegel, Christian ; Burnashev, Marat
Author_Institution :
Dept. of Electr. & Comput. Eng., Dalhousie Univ., Halifax, NS, Canada
Abstract :
The threshold, or saturation phenomenon of spatially coupled systems is revisited in the light of Lyapunov´s theory of dynamical systems. It is shown that an application of Lyapunov´s direct method can be used to quantitatively describe the threshold phenomenon, prove convergence, and compute threshold values. This provides a general proof methodology for the various systems recently studied.
Keywords :
Lyapunov methods; convolutional codes; parity check codes; LDPC convolutional coding; Lyapunov direct method; dynamical systems; low-density parity-check convolutional coding; saturation phenomenon; spatially coupled systems; threshold phenomenon; Convergence; Couplings; Eigenvalues and eigenfunctions; Equations; Iterative decoding; Lyapunov methods;
Conference_Titel :
Information Theory Workshop (ITW), 2013 IEEE
Conference_Location :
Sevilla
Print_ISBN :
978-1-4799-1321-3
DOI :
10.1109/ITW.2013.6691236
