A Note on Systematic Tailbiting Encoders

Rolf Johannesson, Per Ståhl

Research output: Contribution to journalArticlepeer-review


Tailbiting codes encoded by convolutional encoders are studied. An explanation is given for the fact that, at low signal-to-noise ratios, a systematic feedback encoder results in fewer decoding bit errors than a nonsystematic feedforward encoder for the same tailbiting code. The analysis is based on a recently introduced code property, namely, the weight density of distance-d codewords. For a given distance-d weight density, the decoding bit error probability depends on an encoder property, viz., the number of taps in the tap-minimal encoder pseudoinverse. Among all convolutional encoders that encode a given tailbiting code, the systematic one has the tap-minimal encoder pseudoinverse with fewest taps and, hence, gives the smallest bit error probability.
Original languageEnglish
Pages (from-to)55-64
JournalProblems of Information Transmission
Issue number1
Publication statusPublished - 2002

Subject classification (UKÄ)

  • Electrical Engineering, Electronic Engineering, Information Engineering


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