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                                                Figure 10-9 – Trellis diagram


            Figure  10-9  shows  the  trellis  diagram  based  on  the  finite  state  machine  shown  in  Figure  10-7  and  the
            one-to-one correspondence between (u2, u1, u0) and the 4-dimensional cosets. In Figure 10-9, S  (S3, S2, S1,
            S0)  represents  the  current  state,  while  T    (T3,  T2,  T1,  T0)  represents  the  next  state  in  the  finite  state
            machine. State S is connected to T in the trellis diagram by a branch determined by the values of u2 and u1.
            The branch is labelled with the 4-dimensional coset specified by the values of u2, u1 (and u0  S0, see Figure
            10-7). To make the trellis diagram more readable, the indices of the 4-dimensional coset labels are listed
            next to the starting and end points of the branches, rather than on the branches themselves. The leftmost


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