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A Note on Systematic Tailbiting Encoders

Johannesson, Rolf LU and Ståhl, Per LU (2002) In Problems of Information Transmission 38(1). p.55-64
Abstract
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... (More)
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. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Problems of Information Transmission
volume
38
issue
1
pages
55 - 64
publisher
Springer
external identifiers
  • scopus:0036034064
ISSN
0032-9460
DOI
10.1023/A:1020046323711
language
English
LU publication?
yes
id
b8ee16f9-ce8e-4b53-ba22-72dd8d094387 (old id 628530)
date added to LUP
2007-11-26 13:54:44
date last changed
2017-01-01 06:56:48
@article{b8ee16f9-ce8e-4b53-ba22-72dd8d094387,
  abstract     = {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.},
  author       = {Johannesson, Rolf and Ståhl, Per},
  issn         = {0032-9460},
  language     = {eng},
  number       = {1},
  pages        = {55--64},
  publisher    = {Springer},
  series       = {Problems of Information Transmission},
  title        = {A Note on Systematic Tailbiting Encoders},
  url          = {http://dx.doi.org/10.1023/A:1020046323711},
  volume       = {38},
  year         = {2002},
}