Optimization algorithms for improving the performance of permutation trellis codes
In this paper, soft-decision (SD) decoders of permutation trellis code (PTC) with M-ary frequency shift keying are designed using three optimization algorithms and presented in four decoding schemes. In a concatenated code such as PTC, the Viterbi decoder for the outer convolutional code provides ma...
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| Vydané v: | Physical communication Ročník 44; s. 101237 |
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Elsevier B.V
01.02.2021
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| Abstract | In this paper, soft-decision (SD) decoders of permutation trellis code (PTC) with M-ary frequency shift keying are designed using three optimization algorithms and presented in four decoding schemes. In a concatenated code such as PTC, the Viterbi decoder for the outer convolutional code provides maximum likelihood decoding. Hence, the error correction performance is dependent on the decoding scheme used for the inner code. Due to the structure of the encoder with the modulation scheme, the channel output can be interpreted as an assignment problem. SD decoding can then be designed accordingly, using the presented, low-complexity optimization-based schemes. The bit error rate (BER) performance of the schemes are simulated in an additive white Gaussian noise (AWGN) and powerline communication (PLC) channel. The complexities of the schemes are also presented. The performance of the SD schemes are compared with the existing SD threshold detector, with BER results showing significant coding gain for certain codebooks. From the results, a reasonable trade-off between the complexity and coding gain is observed for a noisy channel such as the PLC channel. |
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| AbstractList | In this paper, soft-decision (SD) decoders of permutation trellis code (PTC) with M-ary frequency shift keying are designed using three optimization algorithms and presented in four decoding schemes. In a concatenated code such as PTC, the Viterbi decoder for the outer convolutional code provides maximum likelihood decoding. Hence, the error correction performance is dependent on the decoding scheme used for the inner code. Due to the structure of the encoder with the modulation scheme, the channel output can be interpreted as an assignment problem. SD decoding can then be designed accordingly, using the presented, low-complexity optimization-based schemes. The bit error rate (BER) performance of the schemes are simulated in an additive white Gaussian noise (AWGN) and powerline communication (PLC) channel. The complexities of the schemes are also presented. The performance of the SD schemes are compared with the existing SD threshold detector, with BER results showing significant coding gain for certain codebooks. From the results, a reasonable trade-off between the complexity and coding gain is observed for a noisy channel such as the PLC channel. |
| ArticleNumber | 101237 |
| Author | Kolade, Oluwafemi Cheng, Ling Shimaponda-Nawa, Mulundumina Versfeld, Daniel J.J. |
| Author_xml | – sequence: 1 givenname: Oluwafemi surname: Kolade fullname: Kolade, Oluwafemi email: femikolade@gmail.com organization: Optical Communication Laboratory, School of Electrical and Information Engineering, University of the Witwatersrand, Johannesburg, South Africa – sequence: 2 givenname: Mulundumina surname: Shimaponda-Nawa fullname: Shimaponda-Nawa, Mulundumina organization: Optical Communication Laboratory, School of Electrical and Information Engineering, University of the Witwatersrand, Johannesburg, South Africa – sequence: 3 givenname: Daniel J.J. surname: Versfeld fullname: Versfeld, Daniel J.J. organization: Department of Electrical and Electronic Engineering, Stellenbosch University, Stellensbosch, South Africa – sequence: 4 givenname: Ling surname: Cheng fullname: Cheng, Ling organization: Optical Communication Laboratory, School of Electrical and Information Engineering, University of the Witwatersrand, Johannesburg, South Africa |
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| Cites_doi | 10.1109/TCOMM.2005.858683 10.1109/TEMC.1977.303527 10.1109/JCN.2014.000047 10.1287/opre.26.1.53 10.1002/nav.3800020109 10.1109/7.570789 10.1287/opre.11.6.972 10.1109/26.380118 10.1109/LCOMM.2017.2745545 10.1177/0278364911404579 10.1287/opre.16.3.682 10.1109/TIT.1967.1054010 10.1109/TPWRD.2005.844320 10.1109/TCOMM.2015.2504508 10.1109/TIT.2003.809507 10.1007/BF01580430 |
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| Keywords | Viterbi decoding algorithm Permutation codes Hungarian M-FSK Munkres Murty Soft-decision decoding Permutation trellis |
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| SubjectTerms | [formula omitted]-FSK Hungarian Munkres Murty Permutation codes Permutation trellis Soft-decision decoding Viterbi decoding algorithm |
| Title | Optimization algorithms for improving the performance of permutation trellis codes |
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