DocumentCode
659113
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
fYear
2013
fDate
9-13 Sept. 2013
Firstpage
1
Lastpage
5
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Theory Workshop (ITW), 2013 IEEE
Conference_Location
Sevilla
Print_ISBN
978-1-4799-1321-3
Type
conf
DOI
10.1109/ITW.2013.6691236
Filename
6691236
Link To Document