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Construct the minimal trellis module for G(D) with the method presented in [6]; 4.
The minimal trellis module, Φ min, for nonrecursive convolutional codes was developed in[6].
The minimal trellis module for C1 7,3,3) is shown in Figure 1.
Adopt the systematic convention on the minimal trellis module obtained in the previous step.
Else set G(D) ← G b(D); Construct the minimal trellis module for G(D) with the method presented in [6]; Adopt the systematic convention on the minimal trellis module obtained in the previous step.
The minimal trellis module consists of an irregular structure with n sections which can present different number of states.
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The trellis, merge, and computational complexities of the minimum trellis module for C2 are, respectively, TC Mmin)=24, MC Mmin)=6, and TCC Mmin)=222.
We investigate the number of arithmetic operations performed by the decoding process over the conventional and minimal trellis modules.
For illustration purposes, we provide in Section 4 one example where we compare the conventional and the minimal trellis modules under the new trellis complexity for a specific architecture.
Comparisons between TC M and TCC MM) are given for codes of different rates and based on two trellis representations: the conventional and minimum trellis modules.
In [4], a method to construct the so-called 'minimal' trellis module is provided.
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