Hybrid LDPC codes and iterative decoding methods - i3s

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Hybrid LDPC codes and iterative decoding methods - i3s

44 Chapitre 1 : Introduction to binary and non-binary LDPC codes

(1.13):

e w i

P 0 (W = w +i ) = e w i

P(W = w +i |x = 0)

= P(x noisy ∈ L −1 (w)|x = 0)

P(x noisy ∈ L −1 (w)|x = i) P(Y = y+i |x = 0)

= P(x noisy ∈ L −1 (w)|x = 0)

P(Y = y|x = i)

P(x noisy ∈ L −1 (w)|x = i)

= P(x noisy ∈ L −1 (w)|x = 0)

P(W = w|x = i)

P(x noisy ∈ L −1 (w)|x = i)

= P(x noisy ∈ L −1 (w)|x = 0)

P(x noisy ∈ L −1 (w)|x = i) P(x noisy ∈ L −1 (w)|x = i)

= P(x noisy ∈ L −1 (w)|x = 0)

= P(W = w|x = 0)

= P 0 (W = w)

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