Symmetries of the State Diagram of the Syndrome Former of a Binary Rate-1/2 Convolutional Code

  • J. P. M. Schalkwijk
Part of the International Centre for Mechanical Sciences book series (CISM, volume 219)


We extend and generalize some earlier results [1] on syndrome decoding of binary rate-1/2 convolutional codes. Figure 1 represents a familiar example of such a code. The additions in Figure 1 are modulo-2 and all binary sequences ...,b−1,b0, b1,... are represented as power series b(α) = ... + b−1α-1 + b0 + b1α + .... The encoder has connection polynomials C1(α) = 1 + α2 and C2(α) = 1 + α + α2.


Equivalence Class State Diagram Convolutional Code Bottom Register Nonzero Term 
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Copyright information

© Springer-Verlag Wien 1975

Authors and Affiliations

  • J. P. M. Schalkwijk
    • 1
  1. 1.Department of Electrical EngineeringEindhoven University of TechnologyEindhovenThe Netherlands

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