Title :
Growth Rate of the Weight Distribution of Doubly-Generalized LDPC Codes: General Case and Efficient Evaluation
Author :
Flanagan, Mark F. ; Paolini, Enrico ; Chiani, Marco ; Fossorier, Marc P C
Author_Institution :
Sch. of Electr., Electron. & Mech. Eng., Univ. Coll. Dublin, Dublin, Ireland
Abstract :
The growth rate of the weight distribution of irregular doubly-generalized LDPC (D-GLDPC) codes is developed and in the process, a new efficient numerical technique for its evaluation is presented. The solution involves simultaneous solution of a 4 × 4 system of polynomial equations. This represents the first efficient numerical technique for exact evaluation of the growth rate, even for LDPC codes. The technique is applied to two example D-GLDPC code ensembles.
Keywords :
numerical analysis; parity check codes; polynomials; D-GLDPC code ensembles; doubly-generalized LDPC codes; low density parity check codes; numerical technique; polynomial equations; weight distribution growth rate; Block codes; Decoding; Educational institutions; Equations; Mechanical engineering; Parity check codes; Polynomials; Proposals;
Conference_Titel :
Global Telecommunications Conference, 2009. GLOBECOM 2009. IEEE
Conference_Location :
Honolulu, HI
Print_ISBN :
978-1-4244-4148-8
DOI :
10.1109/GLOCOM.2009.5426116
