... received sequence Digital Communications I:Modulation and Coding Course Period 3 - 2007Catharina LogothetisLecture 12Lecture 12 5Soft and hard decision decodingIn hard decision: The ... NLDNLDNLDNLDLNLDNLDTOne path with weight 5, length 3 and data weight of 1 One path with weight 6, length 4 and data weight of 2 One path with weight 5, length 5 and data weight of 2 Lecture 12 16Systematic ... …20121021121002110206t1t2t3t4t5tHamming weight of the branchAll-zero pathThe path diverging and remerging to all-zero path with minimum weight5=fdLecture 12 9Example of soft-decision Viterbi decoding)101(ˆ=m)1110001011(ˆ=U)101(=m)1110001011(=U)1,32,1,32,1,32,32,32,32,1(−−−−=Z5/3-5/34/3001/31/3-1/3-1/35/3-5/31/31/3-1/36t1t2t3t4t5t-5/30-5/3...