Analytic expressions for the bit error probabilities of rate-1/2 memory 2 convolutional encoders
(2004) In IEEE Transactions on Information Theory 50(6). p.1303-1311- Abstract
- Analytic expressions for the exact bit error probabilities of rate R = 1/2, memory m = 2 convolutional encoders are derived for a maximum-likelihood (ML) decoder and transmission over the binary-symmetric channel (BSC). The resulting expressions are rational functions of the crossover probability of the BSC. In addition to classical nonsystematic encoders without feedback, we consider also recursive systematic encoders which became especially important as component encoders in concatenated coding schemes. To attest the validity of the results, they are compared to computer simulations. Based on the presented technique also the bit error probability and the probability distribution of the output log-likelihood ratios of the Max-Log-MAP... (More)
- Analytic expressions for the exact bit error probabilities of rate R = 1/2, memory m = 2 convolutional encoders are derived for a maximum-likelihood (ML) decoder and transmission over the binary-symmetric channel (BSC). The resulting expressions are rational functions of the crossover probability of the BSC. In addition to classical nonsystematic encoders without feedback, we consider also recursive systematic encoders which became especially important as component encoders in concatenated coding schemes. To attest the validity of the results, they are compared to computer simulations. Based on the presented technique also the bit error probability and the probability distribution of the output log-likelihood ratios of the Max-Log-MAP algorithm are derived in analytic form. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/276244
- author
- Lentmaier, Michael LU ; Truhachev, DV and Zigangirov, Kamil LU
- organization
- publishing date
- 2004
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- codes, bit error probability, convolutional, binary-symmetric channel (BSC), maximum-likelihood (ML) decoding
- in
- IEEE Transactions on Information Theory
- volume
- 50
- issue
- 6
- pages
- 1303 - 1311
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- external identifiers
-
- wos:000221803300028
- scopus:2942659744
- ISSN
- 0018-9448
- DOI
- 10.1109/TIT.2004.828105
- language
- English
- LU publication?
- yes
- id
- 9f825d28-9d08-4932-b60f-e3dba2b9c260 (old id 276244)
- date added to LUP
- 2016-04-01 15:22:33
- date last changed
- 2022-04-06 22:46:38
@article{9f825d28-9d08-4932-b60f-e3dba2b9c260, abstract = {{Analytic expressions for the exact bit error probabilities of rate R = 1/2, memory m = 2 convolutional encoders are derived for a maximum-likelihood (ML) decoder and transmission over the binary-symmetric channel (BSC). The resulting expressions are rational functions of the crossover probability of the BSC. In addition to classical nonsystematic encoders without feedback, we consider also recursive systematic encoders which became especially important as component encoders in concatenated coding schemes. To attest the validity of the results, they are compared to computer simulations. Based on the presented technique also the bit error probability and the probability distribution of the output log-likelihood ratios of the Max-Log-MAP algorithm are derived in analytic form.}}, author = {{Lentmaier, Michael and Truhachev, DV and Zigangirov, Kamil}}, issn = {{0018-9448}}, keywords = {{codes; bit error probability; convolutional; binary-symmetric channel (BSC); maximum-likelihood (ML) decoding}}, language = {{eng}}, number = {{6}}, pages = {{1303--1311}}, publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}}, series = {{IEEE Transactions on Information Theory}}, title = {{Analytic expressions for the bit error probabilities of rate-1/2 memory 2 convolutional encoders}}, url = {{http://dx.doi.org/10.1109/TIT.2004.828105}}, doi = {{10.1109/TIT.2004.828105}}, volume = {{50}}, year = {{2004}}, }