Academic literature on the topic 'Lattice Decoder'

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Journal articles on the topic "Lattice Decoder"

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Alghoniemy, Masoud, and Ahmed H. Tewfik. "MIMO Cube Decoder." Journal of Communications Software and Systems 7, no. 3 (2011): 104. http://dx.doi.org/10.24138/jcomss.v7i3.176.

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An insight on the lattice decoder for flat-fading multiple antenna wireless communications systems is presented in this paper. In particular, we show that by formulating the decoding problem as a bounded-error subset selection, theresultant decoder finds the nearest lattice point to the received signal vector such that the search is bounded inside a hypercube centered at the received vector. The dimensions and orientation of the hypercube can be adjusted based on the diversity of the channel in order to improve its performance. The search for the nearest codeword to the received signal vector
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Kubica, Aleksander, and Nicolas Delfosse. "Efficient color code decoders in d≥2 dimensions from toric code decoders." Quantum 7 (February 21, 2023): 929. http://dx.doi.org/10.22331/q-2023-02-21-929.

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We introduce an efficient decoder of the color code in d≥2 dimensions, the Restriction Decoder, which uses any d-dimensional toric code decoder combined with a local lifting procedure to find a recovery operation. We prove that the Restriction Decoder successfully corrects errors in the color code if and only if the corresponding toric code decoding succeeds. We also numerically estimate the Restriction Decoder threshold for the color code in two and three dimensions against the bit-flip and phase-flip noise with perfect syndrome extraction. We report that the 2D color code threshol
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Dua, Arpit, Tomas Jochym-O'Connor, and Guanyu Zhu. "Quantum error correction with fractal topological codes." Quantum 7 (September 26, 2023): 1122. http://dx.doi.org/10.22331/q-2023-09-26-1122.

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Recently, a class of fractal surface codes (FSCs), has been constructed on fractal lattices with Hausdorff dimension 2+ϵ, which admits a fault-tolerant non-Clifford CCZ gate \cite{zhu2021topological}. We investigate the performance of such FSCs as fault-tolerant quantum memories. We prove that there exist decoding strategies with non-zero thresholds for bit-flip and phase-flip errors in the FSCs with Hausdorff dimension 2+ϵ. For the bit-flip errors, we adapt the sweep decoder, developed for string-like syndromes in the regular 3D surface code, to the FSCs by designing sui
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Damen, O., A. Chkeif, and J. C. Belfiore. "Lattice code decoder for space-time codes." IEEE Communications Letters 4, no. 5 (2000): 161–63. http://dx.doi.org/10.1109/4234.846498.

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Scruby, T. R., and K. Nemoto. "Local Probabilistic Decoding of a Quantum Code." Quantum 7 (August 29, 2023): 1093. http://dx.doi.org/10.22331/q-2023-08-29-1093.

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flip is an extremely simple and maximally local classical decoder which has been used to great effect in certain classes of classical codes. When applied to quantum codes there exist constant-weight errors (such as half of a stabiliser) which are uncorrectable for this decoder, so previous studies have considered modified versions of flip, sometimes in conjunction with other decoders. We argue that this may not always be necessary, and present numerical evidence for the existence of a threshold for flip when applied to the looplike syndromes of a three-dimensional toric code on a cubic lattice
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Srivastava, Rachna, Vincent C. Gaudet, and Patrick Mitran. "Hardware Implementation of a Fixed-Point Decoder for Low-Density Lattice Codes." Journal of Signal Processing Systems 94, no. 1 (2022): 101–16. http://dx.doi.org/10.1007/s11265-021-01735-2.

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AbstractThis paper describes a field-programmable gate array (FPGA) implementation of a fixed-point low-density lattice code (LDLC) decoder where the Gaussian mixture messages that are exchanged during the iterative decoding process are approximated to a single Gaussian. A detailed quantization study is first performed to find the minimum number of bits required for the fixed-point decoder to attain a frame error rate (FER) performance similar to floating-point. Then efficient numerical methods are devised to approximate the required non-linear functions. Finally, the paper presents a comparis
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Lv, Hang, Daniel Povey, Mahsa Yarmohammadi, et al. "LET-Decoder: A WFST-Based Lazy-Evaluation Token-Group Decoder With Exact Lattice Generation." IEEE Signal Processing Letters 28 (2021): 703–7. http://dx.doi.org/10.1109/lsp.2021.3067220.

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Viterbo, E., and J. Bouros. "A universal lattice code decoder for fading channels." IEEE Transactions on Information Theory 45, no. 5 (1999): 1639–42. http://dx.doi.org/10.1109/18.771234.

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Milford, David, and Magnus Sandell. "Simplified Quantisation in a Reduced-Lattice MIMO Decoder." IEEE Communications Letters 15, no. 7 (2011): 725–27. http://dx.doi.org/10.1109/lcomm.2011.051011.110485.

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Gicev, Spiro, Lloyd C. L. Hollenberg, and Muhammad Usman. "A scalable and fast artificial neural network syndrome decoder for surface codes." Quantum 7 (July 12, 2023): 1058. http://dx.doi.org/10.22331/q-2023-07-12-1058.

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Surface code error correction offers a highly promising pathway to achieve scalable fault-tolerant quantum computing. When operated as stabilizer codes, surface code computations consist of a syndrome decoding step where measured stabilizer operators are used to determine appropriate corrections for errors in physical qubits. Decoding algorithms have undergone substantial development, with recent work incorporating machine learning (ML) techniques. Despite promising initial results, the ML-based syndrome decoders are still limited to small scale demonstrations with low latency and are incapabl
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Dissertations / Theses on the topic "Lattice Decoder"

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Patel, Vipul Hiralal. "A system on programmable chip approach for MIMO lattice decoder." ScholarWorks@UNO, 2004. http://louisdl.louislibraries.org/u?/NOD,167.

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Thesis (M.S.)--University of New Orleans, 2004.<br>Title from electronic submission form. "A thesis ... in partial fulfillment of the requirements for the degree of Master of Science in the Department of Electrical Engineering."--Thesis t.p. Vita. Includes bibliographical references.
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Kura, Swapna. "Design and Implementation of an Universal Lattice Decoder on FPGA." ScholarWorks@UNO, 2005. http://scholarworks.uno.edu/td/236.

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In wireless communication, MIMO (multiple input multiple output) is one of the promising technologies which improves the range and performance of transmission without increasing the bandwidth, while providing high rates. High speed hardware MIMO decoders are one of the keys to apply this technology in applications. In order to support the high data rates, the underlying hardware must have significant processing capabilities. FPGA improves the speed of signal processing using parallelism and reconfigurability advantages. The objective of this thesis is to develop an efficient hardware
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Singh, Arun Kumar. "Le compromis Débit-Fiabilité-Complexité dans les systèmes MMO multi-utilisateurs et coopératifs avec décodeurs ML et Lattice." Thesis, Paris, ENST, 2012. http://www.theses.fr/2012ENST0005/document.

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Dans les télécommunications, le débit-fiabilité et la complexité de l’encodage et du décodage (opération à virgule flottante-flops) sont largement reconnus comme représentant des facteurs limitant interdépendants. Pour cette raison, tout tentative de réduire la complexité peut venir au prix d’une dégradation substantielle du taux d’erreurs. Cette thèse traite de l’établissement d’un compromis limite fondamental entre la fiabilité et la complexité dans des systèmes de communications « outage »-limités à entrées et sorties multiples (MIMO), et ses scénarios point-à-point, utilisateurs multiple,
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Singh, Arun Kumar. "Le compromis Débit-Fiabilité-Complexité dans les systèmes MMO multi-utilisateurs et coopératifs avec décodeurs ML et Lattice." Electronic Thesis or Diss., Paris, ENST, 2012. http://www.theses.fr/2012ENST0005.

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Dans les télécommunications, le débit-fiabilité et la complexité de l’encodage et du décodage (opération à virgule flottante-flops) sont largement reconnus comme représentant des facteurs limitant interdépendants. Pour cette raison, tout tentative de réduire la complexité peut venir au prix d’une dégradation substantielle du taux d’erreurs. Cette thèse traite de l’établissement d’un compromis limite fondamental entre la fiabilité et la complexité dans des systèmes de communications « outage »-limités à entrées et sorties multiples (MIMO), et ses scénarios point-à-point, utilisateurs multiple,
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Kapfunde, Goodwell. "Near-capacity sphere decoder based detection schemes for MIMO wireless communication systems." Thesis, University of Hertfordshire, 2013. http://hdl.handle.net/2299/11350.

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The search for the closest lattice point arises in many communication problems, and is known to be NP-hard. The Maximum Likelihood (ML) Detector is the optimal detector which yields an optimal solution to this problem, but at the expense of high computational complexity. Existing near-optimal methods used to solve the problem are based on the Sphere Decoder (SD), which searches for lattice points confined in a hyper-sphere around the received point. The SD has emerged as a powerful means of finding the solution to the ML detection problem for MIMO systems. However the bottleneck lies in the de
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Aubert, Sébastien. "Advanced Techniques for Achieving Near Maximum-Likelihood Soft Detection in MIMO-OFDM Systems and Implementation Aspects for LTE/LTE-A." Phd thesis, INSA de Rennes, 2011. http://tel.archives-ouvertes.fr/tel-00730797.

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Cette thèse traite des systèmes MIMO à multiplexage spatial, associés à la modulation OFDM. L'étude s'attarde particulièrement sur les systèmes 4x4, inclus ou à l'étude dans les normes 3GPP LTE et 3GPP LTE-A. Ces dimensions particulières nécessitent une étude de conception poussée du récepteur. Il s'agit notamment de proposer des détecteurs qui affichent à la fois de bonnes performances, une faible latence et une complexité de calcul réalisable dans un système embarqué. Le défi consiste plus particulièrement à proposer un détecteur offrant des performances quasi-optimales, tout en ne nécessita
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Smirani, Sinda. "Étude du codage réseau au niveau de la couche physique pour les canaux bidirectionnels à relais." Phd thesis, Université Paris Sud - Paris XI, 2014. http://tel.archives-ouvertes.fr/tel-00962333.

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Le codage réseau est apparu comme une technique alternative au routage au niveau de la couche réseau permettant d'améliorer le débit et d'optimiser l'utilisation de la capacité du réseau. Récemment, le codage réseau a été appliqué au niveau de la couche physique des réseaux sans-fil pour profiter de la superposition naturelle des signaux effectuée par le lien radio. Le codage réseau peut être vue comme un traitement interne du réseau pour lequel différentes techniques de relayage peuvent être utilisées. Cette thèse étudie un ensemble de traitements ayant des compromis variés en terme de perfor
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Al-Quwaiee, Hessa. "Bidirectional Fano Algorithm for Lattice Coded MIMO Channels." Thesis, 2013. http://hdl.handle.net/10754/292300.

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Recently, lattices - a mathematical representation of infinite discrete points in the Euclidean space, have become an effective way to describe and analyze communication systems especially system those that can be modeled as linear Gaussian vector channel model. Channel codes based on lattices are preferred due to three facts: lattice codes have simple structure, the code can achieve the limits of the channel, and they can be decoded efficiently using lattice decoders which can be considered as the Closest Lattice Point Search (CLPS). Since the time lattice codes were introduced to Multiple In
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Abediseid, Walid. "Efficient Lattice Decoders for the Linear Gaussian Vector Channel: Performance & Complexity Analysis." Thesis, 2011. http://hdl.handle.net/10012/6271.

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The theory of lattices --- a mathematical approach for representing infinite discrete points in Euclidean space, has become a powerful tool to analyze many point-to-point digital and wireless communication systems, particularly, communication systems that can be well-described by the linear Gaussian vector channel model. This is mainly due to the three facts about channel codes constructed using lattices: they have simple structure, their ability to achieve the fundamental limits (the capacity) of the channel, and most importantly, they can be decoded using efficient decoders called lattice de
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Ali, Konpal S. "On Lattice Sequential Decoding for Large MIMO Systems." Thesis, 2014. http://hdl.handle.net/10754/316732.

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Due to their ability to provide high data rates, Multiple-Input Multiple-Output (MIMO) wireless communication systems have become increasingly popular. Decoding of these systems with acceptable error performance is computationally very demanding. In the case of large overdetermined MIMO systems, we employ the Sequential Decoder using the Fano Algorithm. A parameter called the bias is varied to attain different performance-complexity trade-offs. Low values of the bias result in excellent performance but at the expense of high complexity and vice versa for higher bias values. We attempt to boun
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Book chapters on the topic "Lattice Decoder"

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Rüttgers, Mario, Seong-Ryong Koh, Jenia Jitsev, Wolfgang Schröder, and Andreas Lintermann. "Prediction of Acoustic Fields Using a Lattice-Boltzmann Method and Deep Learning." In Lecture Notes in Computer Science. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-59851-8_6.

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Abstract Using traditional computational fluid dynamics and aeroacoustics methods, the accurate simulation of aeroacoustic sources requires high compute resources to resolve all necessary physical phenomena. In contrast, once trained, artificial neural networks such as deep encoder-decoder convolutional networks allow to predict aeroacoustics at lower cost and, depending on the quality of the employed network, also at high accuracy. The architecture for such a neural network is developed to predict the sound pressure level in a 2D square domain. It is trained by numerical results from up to 20,000 GPU-based lattice-Boltzmann simulations that include randomly distributed rectangular and circular objects, and monopole sources. Types of boundary conditions, the monopole locations, and cell distances for objects and monopoles serve as input to the network. Parameters are studied to tune the predictions and to increase their accuracy. The complexity of the setup is successively increased along three cases and the impact of the number of feature maps, the type of loss function, and the number of training data on the prediction accuracy is investigated. An optimal choice of the parameters leads to network-predicted results that are in good agreement with the simulated findings. This is corroborated by negligible differences of the sound pressure level between the simulated and the network-predicted results along characteristic lines and by small mean errors.
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Conference papers on the topic "Lattice Decoder"

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Bayat, M., and V. T. Vakily. "Lattice Decoding Using Accelerated Sphere Decoder." In The 9th International Conference on Advanced Communication Technology. IEEE, 2007. http://dx.doi.org/10.1109/icact.2007.358541.

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Mejri, Asma, Laura Luzzi, and Ghaya Rekaya-Ben Othman. "On the diversity of the Naive Lattice Decoder." In 2011 7th International Workshop on Systems, Signal Processing and their Applications (WOSSPA). IEEE, 2011. http://dx.doi.org/10.1109/wosspa.2011.5931516.

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Yona, Yair, and Meir Feder. "Efficient parametric decoder of low density lattice codes." In 2009 IEEE International Symposium on Information Theory - ISIT. IEEE, 2009. http://dx.doi.org/10.1109/isit.2009.5205636.

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Wang, Xuebo, and Wai Ho Mow. "Efficient LDLC Decoder Design from the Lattice Viewpoint." In GLOBECOM 2019 - 2019 IEEE Global Communications Conference. IEEE, 2019. http://dx.doi.org/10.1109/globecom38437.2019.9013874.

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Chen, Zhehuai, Justin Luitjens, Hainan Xu, Yiming Wang, Daniel Povey, and Sanjeev Khudanpur. "A GPU-based WFST Decoder with Exact Lattice Generation." In Interspeech 2018. ISCA, 2018. http://dx.doi.org/10.21437/interspeech.2018-1339.

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Ma, Jing, Xinming Huang, and Swapna Kura. "A high data rate universal lattice decoder on FPGA." In Defense and Security, edited by Raghuveer M. Rao, Sohail A. Dianat, Michael D. Zoltowski, Rabindra Singh, and Susan P. Miller. SPIE, 2005. http://dx.doi.org/10.1117/12.604182.

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Bickson, Danny, Alexander T. Ihler, Harel Avissar, and Danny Dolev. "A low density lattice decoder via non-parametric belief propagation." In 2009 47th Annual Allerton Conference on Communication, Control, and Computing (Allerton). IEEE, 2009. http://dx.doi.org/10.1109/allerton.2009.5394798.

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Lanante, Leonardo, Arumjeni Mitayani, Yuhei Nagao, Masayuki Kurosaki, and Hiroshi Ochi. "Packet delayed lattice reduction algorithm for high performance MIMO decoder." In 2012 IEEE Wireless Communications and Networking Conference (WCNC). IEEE, 2012. http://dx.doi.org/10.1109/wcnc.2012.6214191.

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Srivastava, Rachna, Vincent C. Gaudet, and Patrick Mitran. "Hardware Implementation of Fixed-Point Decoder for Low-Density Lattice Codes." In 2020 54th Asilomar Conference on Signals, Systems, and Computers. IEEE, 2020. http://dx.doi.org/10.1109/ieeeconf51394.2020.9443561.

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Abediseid, Walid, and Mohamed Oussama Damen. "Lattice sequential decoder for coded MIMO channel: Performance and complexity analysis." In 2010 IEEE International Symposium on Information Theory - ISIT. IEEE, 2010. http://dx.doi.org/10.1109/isit.2010.5513497.

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