A Note on Systematic Tailbiting Encoders
(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:
https://lup.lub.lu.se/record/628530
- author
- Johannesson, Rolf LU and Ståhl, Per LU
- organization
- publishing date
- 2002
- 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
- 2016-04-01 16:08:25
- date last changed
- 2022-02-12 20:04:15
@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}}, doi = {{10.1023/A:1020046323711}}, volume = {{38}}, year = {{2002}}, }