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(0.8)(0.4)=0.32

A trellis for the Forward algorithm. H 1. H 1. H 1. start 0. end. C 2. C 2. C 2. 3. 1. 3. 0.32. 0.0464. 0.021632. (0.7)(0.2)(0.32)=0.0448. (0.7)(0.4)(0.0464)=0.12992. +. +. (0.8)(0.4)=0.32. (0.4)(0.2)(0.02)=0.0016. (0.4)(0.4)(0.054)=0.00864. (0.3)(0.5)(0.32)=0.048.

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(0.8)(0.4)=0.32

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  1. A trellis for the Forward algorithm H1 H1 H1 start0 end C2 C2 C2 3 1 3 0.32 0.0464 0.021632 (0.7)(0.2)(0.32)=0.0448 (0.7)(0.4)(0.0464)=0.12992 + + (0.8)(0.4)=0.32 (0.4)(0.2)(0.02)=0.0016 (0.4)(0.4)(0.054)=0.00864 (0.3)(0.5)(0.32)=0.048 (0.3)(0.1)(0.0464)=0.001392 (0.2)(0.1)=0.02 + + (0.6)(0.5)(0.02)=0.006 (0.6)(0.1)(0.054)=0.00324 0.02 0.054 0.004632

  2. A trellis for the Viterbi algorithm H1 H1 H1 start0 end C2 C2 C2 3 1 3 0.32 0.0448 0.012544 (0.7)(0.4)(0.0448)=0.012544 (0.7)(0.2)(0.32)=0.0448 max max (0.8)(0.4)=0.32 (0.4)(0.4)(0.048)=0.00768 (0.4)(0.2)(0.02)=0.0016 (0.3)(0.5)(0.32)=0.048 (0.3)(0.1)(0.0448)=0.001344 (0.2)(0.1)=0.02 max max (0.6)(0.1)(0.048)=0.00288 (0.6)(0.5)(0.02)=0.006 0.02 0.00288 0.048

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