A Note on Systematic Tailbiting Encoders
(2002) In Problems of Information Transmission 38(1). p.5564 Abstract
 Tailbiting codes encoded by convolutional encoders are studied. An explanation is given for the fact that, at low signaltonoise 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 distanced codewords. For a given distanced weight density, the decoding bit error probability depends on an encoder property, viz., the number of taps in the tapminimal encoder pseudoinverse. Among all convolutional encoders that encode a given tailbiting code, the systematic one has the tapminimal 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 signaltonoise 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 distanced codewords. For a given distanced weight density, the decoding bit error probability depends on an encoder property, viz., the number of taps in the tapminimal encoder pseudoinverse. Among all convolutional encoders that encode a given tailbiting code, the systematic one has the tapminimal 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
 00329460
 DOI
 10.1023/A:1020046323711
 language
 English
 LU publication?
 yes
 id
 b8ee16f9ce8e4b53ba2272dd8d094387 (old id 628530)
 date added to LUP
 20160401 16:08:25
 date last changed
 20200112 19:04:24
@article{b8ee16f9ce8e4b53ba2272dd8d094387, abstract = {Tailbiting codes encoded by convolutional encoders are studied. An explanation is given for the fact that, at low signaltonoise 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 distanced codewords. For a given distanced weight density, the decoding bit error probability depends on an encoder property, viz., the number of taps in the tapminimal encoder pseudoinverse. Among all convolutional encoders that encode a given tailbiting code, the systematic one has the tapminimal encoder pseudoinverse with fewest taps and, hence, gives the smallest bit error probability.}, author = {Johannesson, Rolf and Ståhl, Per}, issn = {00329460}, language = {eng}, number = {1}, pages = {5564}, 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}, }