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Channel Coding: Theory, Algorithms, and Applications by Marc Fossorier, David Declercq, Ezio Biglieri

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Example 12

The unstructured irregular ensemble with design rate R=1/2image and degree distribution pair

λ(x)=0.062498x+0.479743x2+0.049808x5+0.117758x8+0.290192x29ρ(x)=x8

image

is characterized by a threshold (Eb/N0)=0.559022dBimage (evaluated by EXIT chart). The degree distribution pair has been obtained via threshold optimization constrained to maximum variable node degree equal to 30, concentrated check node degree equal to 9, design rate 1/2, and λ2ρ

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