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Improved Power Decoding of Interleaved One-Point Hermitian Codes [article]

Sven Puchinger and Johan Rosenkilde and Irene Bouw
<span title="2018-01-22">2018</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
In the special case h=1, we obtain an adaption of the improved power decoding algorithm to one-point Hermitian codes, which for all simulated parameters achieves a similar observed failure probability  ...  We propose a new partial decoding algorithm for h-interleaved one-point Hermitian codes that can decode-under certain assumptions-an error of relative weight up to 1-(k+gn)^h/h+1, where k is the dimension  ...  We use the description of power decoding for one-point Hermitian codes as in [4] .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1801.07006v1">arXiv:1801.07006v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/pkmu3empnrb3dj7qyqxcxoh77y">fatcat:pkmu3empnrb3dj7qyqxcxoh77y</a> </span>
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Improved power decoding of interleaved one-point Hermitian codes

Sven Puchinger, Johan Rosenkilde, Irene Bouw
<span title="2018-12-01">2018</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/c45m6ttnaje4xbjsq7m2c6df2a" style="color: black;">Designs, Codes and Cryptography</a> </i> &nbsp;
In the special case h = 1, we obtain an adaption of the improved power decoding algorithm to one-point Hermitian codes, which for all simulated parameters achieves a similar observed failure probability  ...  We propose a new partial decoding algorithm for h-interleaved one-point Hermitian codes that can decode-under certain assumptions-an error of relative weight up to 1 − ( k+g n ) h h+1 , where k is the  ...  Conclusion We have presented a new decoding algorithm for h-interleaved one-point Hermitian codes based on the improved power decoder for Reed-Solomon codes in [5] , its generalization to h-interleaved  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s10623-018-0577-z">doi:10.1007/s10623-018-0577-z</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/xgzfsygedvddpoyi7l3xjq26u4">fatcat:xgzfsygedvddpoyi7l3xjq26u4</a> </span>
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Iterative Detection-Decoding of Interleaved Hermitian Codes for High Density Storage Devices

Li Chen, Martin Johnston, Gui Yun Tian
<span title="">2014</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/dha3bnxvkvhslj74k332qi2ewa" style="color: black;">IEEE Transactions on Communications</a> </i> &nbsp;
A possible replacement for RS codes are the one-point Hermitian codes, which are a class of algebraic-geometric (AG) code that have larger block sizes and minimum Hamming distances over the same finite  ...  In this paper, we present a novel iterative soft detection-decoding algorithm for interleaved Hermitian codes.  ...  Improved performance of the interleaved (64, 47) Hermitian code on PR channel I. Fig. 8 . 8 Fig. 8. Performance of the interleaved (512, 460) Hermitian code on PR channel II.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tcomm.2014.2357026">doi:10.1109/tcomm.2014.2357026</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/a6ljucgy55e5vbdmbm56i5t4wu">fatcat:a6ljucgy55e5vbdmbm56i5t4wu</a> </span>
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Improved Power Decoding of One-Point Hermitian Codes [article]

Sven Puchinger, Irene Bouw, Johan Rosenkilde né Nielsen
<span title="2017-03-23">2017</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
In addition, it promises improvements for decoding interleaved Hermitian codes.  ...  We propose a new partial decoding algorithm for one-point Hermitian codes that can decode up to the same number of errors as the Guruswami--Sudan decoder.  ...  We use the description of power decoding for one-point Hermitian codes as in [4] .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1703.07982v1">arXiv:1703.07982v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ni2sziftovc7xffozm5bvrvtc4">fatcat:ni2sziftovc7xffozm5bvrvtc4</a> </span>
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Page 4871 of Mathematical Reviews Vol. , Issue 2003f [page]

<span title="">2003</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
Summary: “Let g be the genus of the Hermitian function field H/F. and let Cy(D,mQ x) be a typical Hermitian code of length n. In [Des.  ...  This result also has consequences for the construction of concatenated codes of good rate that are list decodable from a large fraction of errors, improving previous results of V. Gu- ruswami and M.  ... 
<span class="external-identifiers"> </span>
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[Invited paper] Large-capacity Wireless Transmission Technology

Makoto Taguchi, Kenichi Murayama, Takuya Shitomi, Shingo Asakura, Kazuhiko Shibuya
<span title="">2013</span> <i title="Institute of Image Information and Television Engineers"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/grfxe6wamvda5l6autaohwjjue" style="color: black;">ITE Transactions on Media Technology and Applications</a> </i> &nbsp;
We developed a new transmission system based on conventional digital terrestrial television broadcasting, ISDB-T, and applied a combination of ultra-multilevel OFDM and dual-polarized MIMO to expand the  ...  This paper describes the technologies that can expand the transmission capacity, and the methods for improving the transmission characteristics.  ...  in ISDB-T.Table 2lists the relationship between the FFT sizes and the improved transmission efficiencies based on an FFT-sized system of 8 k (8192) points.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3169/mta.1.34">doi:10.3169/mta.1.34</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/g3iyzdfkmjdydf6xodo6amreta">fatcat:g3iyzdfkmjdydf6xodo6amreta</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20181101141243/https://www.jstage.jst.go.jp/article/mta/1/1/1_34/_pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/6a/ef/6aeff8f7ec073db6b278d298f88d91176cdf015a.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3169/mta.1.34"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Improved Power Decoding of Algebraic Geometry Codes [article]

Sven Puchinger, Johan Rosenkilde, Grigory Solomatov
<span title="2021-05-17">2021</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
The original version decodes roughly up to the Sudan radius, while an improved version decodes up to the Johnson radius, but has so far been described only for Reed--Solomon and one-point Hermitian codes  ...  Power decoding is a partial decoding paradigm for arbitrary algebraic geometry codes for decoding beyond half the minimum distance, which usually returns the unique closest codeword, but in rare cases  ...  Both the original and the improved power decoding with multiplicity has been applied to one-point Hermitian codes, which belong to the large family of algebraic geometry (AG) codes that were introduced  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2105.00178v2">arXiv:2105.00178v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/rqpesknrpvgknctnhgsa2aslia">fatcat:rqpesknrpvgknctnhgsa2aslia</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20210520090412/https://arxiv.org/pdf/2105.00178v2.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/76/1b/761bfb92d821654b2c140b5be3cc9d1218c950f0.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2105.00178v2" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Page 3983 of Mathematical Reviews Vol. , Issue 2003e [page]

<span title="">2003</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
For a fixed prime power r and a fixed integer g > 0, let N,(g) denote the maximum number of F,-rational points on X, where  ...  These results are used to calculate a DLP lower bound on the state complexity of Hermitian codes. T.  ... 
<span class="external-identifiers"> </span>
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On Some Design Issues of Space-Time Coded Multi-Antenna Systems

Hsuan-Jung Su, Evaggelos Geraniotis
<span title="2002-05-30">2002</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/hqblpsydr5emviirtqkkmctpha" style="color: black;">EURASIP Journal on Advances in Signal Processing</a> </i> &nbsp;
The general space-time coding/modulation structure by is considered. Several design issues are investigated for this structure.  ...  The layered space-time architecture by Foschini (1996) is revisited as a special case of the general structure. It is also used to demonstrate the design and complexity tradeoffs of the system.  ...  ACKNOWLEDGMENTS This work was presented at the IEEE International Conference on Third Generation Wireless Communications, San Francisco, California, USA, June 2000.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1155/s1110865702000835">doi:10.1155/s1110865702000835</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/mfxq2c4jgvflbp7p34f2hud5ne">fatcat:mfxq2c4jgvflbp7p34f2hud5ne</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170812011204/https://asp-eurasipjournals.springeropen.com/track/pdf/10.1155/S1110865702000835?site=asp.eurasipjournals.springeropen.com" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/99/34/9934d95dcfa1ddf115d527b9440c0d152715bba6.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1155/s1110865702000835"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> hindawi.com </button> </a>

Bit-interleaved coded differential space-time modulation

L.H.-J. Lampe, R. Schober
<span title="">2002</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/dha3bnxvkvhslj74k332qi2ewa" style="color: black;">IEEE Transactions on Communications</a> </i> &nbsp;
Bit-interleaved coded differential space-time modulation (DSTM) for transmission over ¤at Rayleigh fading channels is discussed.  ...  For improved noncoherent detection without channel state information at the receiver, iterative decoding employing hard-decision feedback and prediction-based metric computation are applied.  ...  As expected the performance improvement due to spatial diversity becomes more pronounced for less powerful coding, i.e., for higher code rate and lower code memory, respectively.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tcomm.2002.802557">doi:10.1109/tcomm.2002.802557</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/r2zcdovu6fbl5kxfukxts73rnu">fatcat:r2zcdovu6fbl5kxfukxts73rnu</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170829045347/http://www.lit.lnt.de/papers/iccBICM.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/b0/07/b00781a41847df928cf73402104cd2858d6c2a5d.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tcomm.2002.802557"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Experimental demonstration of 9.6 Gbit/s polar coded infrared light communication system

Haotian Zheng, Kaiquan Wu, Bin Chen, Jianou Huang, Yu Lei, Chao Li, Alexios Balatsoukas-Stimming, Zizheng Cao, A. M. J. Koonen
<span title="">2020</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/wqvvi4ohyzhnpnfzrltgohq4mi" style="color: black;">IEEE Photonics Technology Letters</a> </i> &nbsp;
Conventional BIPCM uses an interleaver to improve the decoding performance.  ...  with point-to-point high capacity service.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/lpt.2020.3039177">doi:10.1109/lpt.2020.3039177</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/iaf6l7cfajhgtggvhzcbe4lt2q">fatcat:iaf6l7cfajhgtggvhzcbe4lt2q</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20210716073532/https://pure.tue.nl/ws/files/173803823/09262906.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/f7/13/f713ec7cca9dd76bfab99bce46a7e9b0d6033308.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/lpt.2020.3039177"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Improved 16-QAM constellation labeling for BI-STCM-ID with the Alamouti scheme

Yuheng Huang, J.A. Ritcey
<span title="">2005</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/64g2ddfw6bhmnktwtxqy44u534" style="color: black;">IEEE Communications Letters</a> </i> &nbsp;
Based on this power mean criterion, we show that the labeling optimization problem falls into the category of quadratic assignment problems.  ...  Index Terms-Bit-interleaved coded modulation (BICM), space-time coding, constellation labeling, quadratic assignment problem (QAP)  ...  In light of conventional bit-interleaved coded modulation (BICM [3] ) with iterative decoding (BICM-ID, e.g., [4] ), bit-interleaved space-time coded modulation with iterative decoding (BI-STCM-ID [  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/lcomm.2005.02002">doi:10.1109/lcomm.2005.02002</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/r7dqywa7zze55ebwtn4q5nvh7u">fatcat:r7dqywa7zze55ebwtn4q5nvh7u</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20041111194546/http://students.washington.edu:80/huangyh/paper/CL04B.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/e5/ab/e5ab002ac2d5a3f5cc97c8415a7862defec66667.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/lcomm.2005.02002"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

A system level hardware/software partition of a mimo-ofdm system for systemc modeling

Sebastian Eslava G., Carlos Sanchez, Catalina Muñoz Morales
<span title="2013-09-10">2013</span> <i title="Universidad de San Buenaventura"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/qn26hcieh5d5jjawn5ax46oshq" style="color: black;">Ingenium: Revista de la Facultad de Ingeniería</a> </i> &nbsp;
This paper presents the design process and description at the system level of a communication system based on Multiple Input-Multiple Output and Orthogonal Frequency Division Multiplexing (MIMO-OFDM).  ...  These are used in fourth generation (4G) systems, due to the performance improvement when facing rapidly changing wireless environments.  ...  Powerful error correction algorithms and higher data rates are some of the performance improvements, result of transmission and signal processing using information in the form of bit symbols.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.21500/01247492.1337">doi:10.21500/01247492.1337</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/zth72o7qmravrcem6zyuxv4wjq">fatcat:zth72o7qmravrcem6zyuxv4wjq</a> </span>
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Comparative Study on Various Modulation and Coding Techniques Relevant to Bangabandhu Satellite-2

Zannatul Ferdous, Md Kamruzzaman, Bobby Barua
<span title="2022-06-12">2022</span> <i title="Zenodo"> Zenodo </i> &nbsp;
As a result, the theoretical focus of our analysis is on how we might achieve the milestone by examining the aspect of Bangabandhu Satellite 2.  ...  For the communication window, the modulation and coding technique should be as smooth as feasible. These aspects should be careful because it will be a hybrid satellite.  ...  The outer points of the I/Q constellation, for example. Have higher output power levels, and the compression is due to the saturated environment the RF power amplifier's output power.  ... 
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Concatenated codes for fading channels based on recursive space--time trellis codes

V. Gulati, K.R. Narayanan
<span title="">2003</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/ra4txhbrwnbwzk3lwinyjovpbe" style="color: black;">IEEE Transactions on Wireless Communications</a> </i> &nbsp;
Two solutions are proposed in this paper-The use of convolutional outer codes aimed mainly to improve the power efficiency and the use of very high-rate outer codes to obtain significant improvement in  ...  Finally, we propose an automatic repeat request scheme based on recursive realizations of space-time codes and show that the proposed scheme provides significant reduction in frame error rate.  ...  Two solutions are proposed in this paper-codes to primarily improve power efficiency where the outer code is of fairly low rate and codes to improve power efficiency with minimal loss in spectral efficiency  ... 
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