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Appendix Calculation of Weight Enumerators for Convolutional Codes In this appendix,we describe a precise and efficient method to evaluate transfer functions for convolutional codes.The method is called the transfer matrix method and is applied to obtain weight enumerators.The material presented in this section is modified from the [McEliece98]. Consider the (2,1,3)convolutional encoder shown in Fig.4.Al.The state transition diagram is depicted in Fig.4.A2. →c D D →c Fig.4.Al 0/00 00 1/11 1/1 0/00 10 1/01 0/10 0/10 11 )1/01 Fig.4.A2 453 4-53 Appendix Calculation of Weight Enumerators for Convolutional Codes In this appendix, we describe a precise and efficient method to evaluate transfer functions for convolutional codes. The method is called the transfer matrix method and is applied to obtain weight enumerators. The material presented in this section is modified from the [McEliece98]. Consider the (2, 1, 3) convolutional encoder shown in Fig. 4.A1. The state transition diagram is depicted in Fig. 4.A2. Fig. 4.A1 00 11 01 10 0/00 1/11 0/00 1/01 0/10 0/10 1/11 1/01 Fig. 4.A2 D D k u (0) k c (1) k c
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