Modified Iterative Decoding Algorithm for Polar Code Using Maximum Likelihood Estimation
The key challenges in real time voice communication in long term evolution mobile are reduction in complexity and latency. Efficient encoding and decoding algorithms can cater to these. The implementation of such polar code based efficient algorithms is proposed in this paper. The overall latency of...
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| Vydáno v: | Wireless personal communications Ročník 98; číslo 2; s. 1821 - 1833 |
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| Médium: | Journal Article |
| Jazyk: | angličtina |
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01.01.2018
Springer Nature B.V |
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| ISSN: | 0929-6212, 1572-834X |
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| Abstract | The key challenges in real time voice communication in long term evolution mobile are reduction in complexity and latency. Efficient encoding and decoding algorithms can cater to these. The implementation of such polar code based efficient algorithms is proposed in this paper. The overall latency of 3.8 ms is needed to process 8 bit block length. The novel sub-matrix near to identity matrix is presented. This resulted into minimization of loops among least reliable bits due to iterated parity check matrix. Look-up table based memory mapping is used in encoder to reduce latency while Euclidian decoding technique is used in decoder. The number of iterations is reduced by 50%. The experimentation is performed with additive white Gaussian noise and QPSK modulation. The proposed modified iterative decoding algorithm requires SNR of 5.5 dB and 192 computations for targeted bit error rate of 10
−4
. The second proposed method needs 9 dB, 2 iterations for 384 computations. The penalty paid is quantization error of 0.63% due to restricting computations to fourth order series of hyperbolic function with same 8 bit block length. |
|---|---|
| AbstractList | The key challenges in real time voice communication in long term evolution mobile are reduction in complexity and latency. Efficient encoding and decoding algorithms can cater to these. The implementation of such polar code based efficient algorithms is proposed in this paper. The overall latency of 3.8 ms is needed to process 8 bit block length. The novel sub-matrix near to identity matrix is presented. This resulted into minimization of loops among least reliable bits due to iterated parity check matrix. Look-up table based memory mapping is used in encoder to reduce latency while Euclidian decoding technique is used in decoder. The number of iterations is reduced by 50%. The experimentation is performed with additive white Gaussian noise and QPSK modulation. The proposed modified iterative decoding algorithm requires SNR of 5.5 dB and 192 computations for targeted bit error rate of 10−4. The second proposed method needs 9 dB, 2 iterations for 384 computations. The penalty paid is quantization error of 0.63% due to restricting computations to fourth order series of hyperbolic function with same 8 bit block length. The key challenges in real time voice communication in long term evolution mobile are reduction in complexity and latency. Efficient encoding and decoding algorithms can cater to these. The implementation of such polar code based efficient algorithms is proposed in this paper. The overall latency of 3.8 ms is needed to process 8 bit block length. The novel sub-matrix near to identity matrix is presented. This resulted into minimization of loops among least reliable bits due to iterated parity check matrix. Look-up table based memory mapping is used in encoder to reduce latency while Euclidian decoding technique is used in decoder. The number of iterations is reduced by 50%. The experimentation is performed with additive white Gaussian noise and QPSK modulation. The proposed modified iterative decoding algorithm requires SNR of 5.5 dB and 192 computations for targeted bit error rate of 10 −4 . The second proposed method needs 9 dB, 2 iterations for 384 computations. The penalty paid is quantization error of 0.63% due to restricting computations to fourth order series of hyperbolic function with same 8 bit block length. |
| Author | Jadhav, Makarand Mohan Pattarkine, Ram Patil, R. A. Sapkal, Ashok M. |
| Author_xml | – sequence: 1 givenname: Makarand Mohan surname: Jadhav fullname: Jadhav, Makarand Mohan email: makj123@yahoo.com organization: Government College of Engineering – sequence: 2 givenname: Ashok M. surname: Sapkal fullname: Sapkal, Ashok M. organization: Government College of Engineering – sequence: 3 givenname: Ram surname: Pattarkine fullname: Pattarkine, Ram organization: College of Engineering and Technology – sequence: 4 givenname: R. A. surname: Patil fullname: Patil, R. A. organization: Government College of Engineering |
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| References | YangWZhangLYangZA unified design of channel coding for LTE uplink control informationWireless Networks201521516611667333413010.1007/s11276-014-0879-7 ShanonCEA mathematical theory of communicationBell System Technical Journal1948273794232628610.1002/j.1538-7305.1948.tb01338.x ArikanESystematic polar codingIEEE Communications Letters201115886086210.1109/LCOMM.2011.061611.110862 SasogluEPolarization and polar codes2011Hanover, MANow Publishers Inc1278.94032 HuffmanDAA method for the construction of minimum-redundancy codesProceedings of the IRE19524091098110110.1109/JRPROC.1952.2738980137.13605 ArikanEA performance comparison of polar codes and Reed-MullerIEEE Communication Letters200812644744910.1109/LCOMM.2008.080017 ChenKLiBShenHReduce the complexity of list decoding of polar codes by tree-pruningIEEE Communications Letters201620220420710.1109/LCOMM.2015.2506568 NiuYLiYJinDA survey of millimeter wave communications (mmWave) for 5G: Opportunities and challengesWireless Networks20152182657267610.1007/s11276-015-0942-z LiYLiuRWangRA low-complexity SNR estimation algorithm based on frozen bits of polar codesIEEE Communications Letters201620122354235710.1109/LCOMM.2016.2605106 Krishna, R. N., Jiang, J., & Nangare, N. A. (2009). Inventors; Iterative soft-input-soft-output decoding of Reed–Solomon codes by adapting the parity check matrix. US patent 7519898 B2, April 2009. FanYXiaCChenJA low-latency list successive-cancellation decoding implementation for polar codesIEEE Journal on Selected Areas in Communications201634230331710.1109/JSAC.2015.2504318 AroraMSinghSSimulative analysis of Turbo codes over AWGN channel for BPSK modulation schemeEuropean’s Journal of Advances in Engineering and Technology2015262936 HooshmandRArefMREghlidosTSecret key cryptosystem based on non-systematic polar codesWireless Pearson Communications20158421345137310.1007/s11277-015-2691-9 ChenGTZhangZZhongCZhangLA low complexity encoding algorithm for systematic polar codesIEEE Communications Letters201620712771280 VangalaHHongYViterboEEfficient algorithms for systematic polar encodingIEEE Communications Letters2016201172010.1109/LCOMM.2015.2497220 TrifonovPEfficient design and decoding of polar codesIEEE Transactions on Communications201260113221322710.1109/TCOMM.2012.081512.110872 LathiBPDingZModern digital and analog communication systems20114OxfordOxford University Press SarkisGTalIGiardPVardyAFlexible and low-complexity encoding and decoding of systematic polar codesIEEE Transactions on Communications20166472732274510.1109/TCOMM.2016.2574996 ProakisJGDigital communications20145New YorkMcGraw-Hill Education0292.94002 K Chen (4947_CR6) 2016; 20 P Trifonov (4947_CR14) 2012; 60 E Arikan (4947_CR16) 2011; 15 E Sasoglu (4947_CR1) 2011 E Arikan (4947_CR15) 2008; 12 M Arora (4947_CR13) 2015; 2 4947_CR17 R Hooshmand (4947_CR10) 2015; 84 Y Fan (4947_CR8) 2016; 34 H Vangala (4947_CR9) 2016; 20 DA Huffman (4947_CR18) 1952; 40 BP Lathi (4947_CR3) 2011 JG Proakis (4947_CR2) 2014 W Yang (4947_CR12) 2015; 21 G Sarkis (4947_CR7) 2016; 64 Y Niu (4947_CR11) 2015; 21 Y Li (4947_CR5) 2016; 20 GT Chen (4947_CR4) 2016; 20 CE Shanon (4947_CR19) 1948; 27 |
| References_xml | – reference: Krishna, R. N., Jiang, J., & Nangare, N. A. (2009). Inventors; Iterative soft-input-soft-output decoding of Reed–Solomon codes by adapting the parity check matrix. US patent 7519898 B2, April 2009. – reference: ArikanEA performance comparison of polar codes and Reed-MullerIEEE Communication Letters200812644744910.1109/LCOMM.2008.080017 – reference: HooshmandRArefMREghlidosTSecret key cryptosystem based on non-systematic polar codesWireless Pearson Communications20158421345137310.1007/s11277-015-2691-9 – reference: TrifonovPEfficient design and decoding of polar codesIEEE Transactions on Communications201260113221322710.1109/TCOMM.2012.081512.110872 – reference: VangalaHHongYViterboEEfficient algorithms for systematic polar encodingIEEE Communications Letters2016201172010.1109/LCOMM.2015.2497220 – reference: ChenKLiBShenHReduce the complexity of list decoding of polar codes by tree-pruningIEEE Communications Letters201620220420710.1109/LCOMM.2015.2506568 – reference: SasogluEPolarization and polar codes2011Hanover, MANow Publishers Inc1278.94032 – reference: LiYLiuRWangRA low-complexity SNR estimation algorithm based on frozen bits of polar codesIEEE Communications Letters201620122354235710.1109/LCOMM.2016.2605106 – reference: LathiBPDingZModern digital and analog communication systems20114OxfordOxford University Press – reference: HuffmanDAA method for the construction of minimum-redundancy codesProceedings of the IRE19524091098110110.1109/JRPROC.1952.2738980137.13605 – reference: ArikanESystematic polar codingIEEE Communications Letters201115886086210.1109/LCOMM.2011.061611.110862 – reference: ProakisJGDigital communications20145New YorkMcGraw-Hill Education0292.94002 – reference: FanYXiaCChenJA low-latency list successive-cancellation decoding implementation for polar codesIEEE Journal on Selected Areas in Communications201634230331710.1109/JSAC.2015.2504318 – reference: ShanonCEA mathematical theory of communicationBell System Technical Journal1948273794232628610.1002/j.1538-7305.1948.tb01338.x – reference: AroraMSinghSSimulative analysis of Turbo codes over AWGN channel for BPSK modulation schemeEuropean’s Journal of Advances in Engineering and Technology2015262936 – reference: SarkisGTalIGiardPVardyAFlexible and low-complexity encoding and decoding of systematic polar codesIEEE Transactions on Communications20166472732274510.1109/TCOMM.2016.2574996 – reference: NiuYLiYJinDA survey of millimeter wave communications (mmWave) for 5G: Opportunities and challengesWireless Networks20152182657267610.1007/s11276-015-0942-z – reference: YangWZhangLYangZA unified design of channel coding for LTE uplink control informationWireless Networks201521516611667333413010.1007/s11276-014-0879-7 – reference: ChenGTZhangZZhongCZhangLA low complexity encoding algorithm for systematic polar codesIEEE Communications Letters201620712771280 – volume: 20 start-page: 204 issue: 2 year: 2016 ident: 4947_CR6 publication-title: IEEE Communications Letters doi: 10.1109/LCOMM.2015.2506568 – volume: 21 start-page: 1661 issue: 5 year: 2015 ident: 4947_CR12 publication-title: Wireless Networks doi: 10.1007/s11276-014-0879-7 – volume: 21 start-page: 2657 issue: 8 year: 2015 ident: 4947_CR11 publication-title: Wireless Networks doi: 10.1007/s11276-015-0942-z – volume-title: Modern digital and analog communication systems year: 2011 ident: 4947_CR3 – ident: 4947_CR17 – volume: 64 start-page: 2732 issue: 7 year: 2016 ident: 4947_CR7 publication-title: IEEE Transactions on Communications doi: 10.1109/TCOMM.2016.2574996 – volume: 20 start-page: 17 issue: 1 year: 2016 ident: 4947_CR9 publication-title: IEEE Communications Letters doi: 10.1109/LCOMM.2015.2497220 – volume: 2 start-page: 29 issue: 6 year: 2015 ident: 4947_CR13 publication-title: European’s Journal of Advances in Engineering and Technology – volume: 34 start-page: 303 issue: 2 year: 2016 ident: 4947_CR8 publication-title: IEEE Journal on Selected Areas in Communications doi: 10.1109/JSAC.2015.2504318 – volume-title: Digital communications year: 2014 ident: 4947_CR2 – volume-title: Polarization and polar codes year: 2011 ident: 4947_CR1 doi: 10.1561/9781601985972 – volume: 20 start-page: 2354 issue: 12 year: 2016 ident: 4947_CR5 publication-title: IEEE Communications Letters doi: 10.1109/LCOMM.2016.2605106 – volume: 15 start-page: 860 issue: 8 year: 2011 ident: 4947_CR16 publication-title: IEEE Communications Letters doi: 10.1109/LCOMM.2011.061611.110862 – volume: 12 start-page: 447 issue: 6 year: 2008 ident: 4947_CR15 publication-title: IEEE Communication Letters doi: 10.1109/LCOMM.2008.080017 – volume: 27 start-page: 379 year: 1948 ident: 4947_CR19 publication-title: Bell System Technical Journal doi: 10.1002/j.1538-7305.1948.tb01338.x – volume: 40 start-page: 1098 issue: 9 year: 1952 ident: 4947_CR18 publication-title: Proceedings of the IRE doi: 10.1109/JRPROC.1952.273898 – volume: 84 start-page: 1345 issue: 2 year: 2015 ident: 4947_CR10 publication-title: Wireless Pearson Communications doi: 10.1007/s11277-015-2691-9 – volume: 60 start-page: 3221 issue: 11 year: 2012 ident: 4947_CR14 publication-title: IEEE Transactions on Communications doi: 10.1109/TCOMM.2012.081512.110872 – volume: 20 start-page: 1277 issue: 7 year: 2016 ident: 4947_CR4 publication-title: IEEE Communications Letters |
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| SubjectTerms | Algorithms Bit error rate Codes Communications Engineering Computer Communication Networks Decoding Engineering Experimentation Hyperbolic functions Iterative methods Maximum likelihood decoding Maximum likelihood estimation Networks Signal,Image and Speech Processing Voice communication |
| Title | Modified Iterative Decoding Algorithm for Polar Code Using Maximum Likelihood Estimation |
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