2011 IEEE International Symposium on Information Theory Proceedings最新文献

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Zero-error communication via quantum channels and a quantum Lovász θ-function 零误差通信通过量子信道和量子Lovász θ-函数
2011 IEEE International Symposium on Information Theory Proceedings Pub Date : 2011-10-03 DOI: 10.1109/ISIT.2011.6034211
R. Duan, S. Severini, A. Winter
{"title":"Zero-error communication via quantum channels and a quantum Lovász θ-function","authors":"R. Duan, S. Severini, A. Winter","doi":"10.1109/ISIT.2011.6034211","DOIUrl":"https://doi.org/10.1109/ISIT.2011.6034211","url":null,"abstract":"We study the quantum channel version of Shannon's zero-error capacity problem. Motivated by recent progress on this question, we propose to consider a certain linear space operators as the quantum generalisation of the adjacency matrix, in terms of which the plain, quantum and entanglement-assisted capacity can be formulated, and for which we show some new basic properties. Most importantly, we define a quantum version of Lovász' famous υ function, as the norm-completion (or stabilisation) of a “naive” generalisation of υ. We go on to show that this function upper bounds the number of entanglement-assisted zero-error messages, that it is given by a semidefinite programme, whose dual we write down explicitly, and that it is multiplicative with respect to the natural (strong) graph product. We explore various other properties of the new quantity, which reduces to Lovász' original υ in the classical case, give several applications, and propose to study the linear spaces of operators associated to channels as “non-commutative graphs”, using the language of operator systems and Hilbert modules.","PeriodicalId":208375,"journal":{"name":"2011 IEEE International Symposium on Information Theory Proceedings","volume":"87 10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127991695","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 35
Spectrum pricing games with arbitrary bandwidth availability probabilities 具有任意带宽可用概率的频谱定价博弈
2011 IEEE International Symposium on Information Theory Proceedings Pub Date : 2011-10-03 DOI: 10.1109/ISIT.2011.6034065
G. Kasbekar, S. Sarkar
{"title":"Spectrum pricing games with arbitrary bandwidth availability probabilities","authors":"G. Kasbekar, S. Sarkar","doi":"10.1109/ISIT.2011.6034065","DOIUrl":"https://doi.org/10.1109/ISIT.2011.6034065","url":null,"abstract":"We consider price competition among multiple primary users in a cognitive radio network with multiple secondary users. Each primary has unused bandwidth with some probability, possibly different for different primaries, which he would like to lease to a secondary. For the case in which all the primaries and secondaries are in a single location, we explicitly compute a Nash equilibrium (NE) and show its uniqueness. Then we consider the game with spatial reuse of spectrum, and for linear conflict graphs, explicitly compute a NE and show its uniqueness in a natural sub-class of NE.","PeriodicalId":208375,"journal":{"name":"2011 IEEE International Symposium on Information Theory Proceedings","volume":"53 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125401455","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 19
The dispersion of infinite constellations 无限星座的色散
2011 IEEE International Symposium on Information Theory Proceedings Pub Date : 2011-10-03 DOI: 10.1109/ISIT.2011.6033771
A. Ingber, R. Zamir, M. Feder
{"title":"The dispersion of infinite constellations","authors":"A. Ingber, R. Zamir, M. Feder","doi":"10.1109/ISIT.2011.6033771","DOIUrl":"https://doi.org/10.1109/ISIT.2011.6033771","url":null,"abstract":"In the setting of a Gaussian channel without power constraints, proposed by Poltyrev, the codewords are points in an n-dimensional Euclidean space (an infinite constellation) and their optimal density is considered. Poltyrev's “capacity” is the highest achievable normalized log density (NLD) with vanishing error probability. This capacity as well as error exponents for this setting are known. In this work we consider the optimal NLD for a fixed, nonzero error probability, as a function of the codeword length (dimension) n. We show that as n grows, the gap to capacity is inversely proportional (up to the first order) to the square-root of n where the proportion constant is given by the inverse Q-function of the allowed error probability, times the square root of 1 over 2. In an analogy to similar result in channel coding, the dispersion of infinite constellations is 1 over 2 nat2 per channel use. We show that this optimal convergence rate can be achieved using lattices, therefore the result holds for the maximal error probability as well. Connections to the error exponent of the power constrained Gaussian channel and to the volume-to-noise ratio as a figure of merit are discussed.","PeriodicalId":208375,"journal":{"name":"2011 IEEE International Symposium on Information Theory Proceedings","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126635727","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Necessary conditions for consistent set-based graphical model selection 基于一致集的图形模型选择的必要条件
2011 IEEE International Symposium on Information Theory Proceedings Pub Date : 2011-10-03 DOI: 10.1109/ISIT.2011.6034133
Divyanshu Vats, José M. F. Moura
{"title":"Necessary conditions for consistent set-based graphical model selection","authors":"Divyanshu Vats, José M. F. Moura","doi":"10.1109/ISIT.2011.6034133","DOIUrl":"https://doi.org/10.1109/ISIT.2011.6034133","url":null,"abstract":"Graphical model selection, where the goal is to estimate the graph underlying a distribution, is known to be an NP-hard problem. An important issue is to study theoretical limits on the performance of graphical model selection algorithms. In particular, given parameters of the underlying distribution, we want to find a lower bound on the number of samples required for accurate graph estimation. When deriving these theoretical bounds, it is common to treat the learning problem as a communication problem where the observations correspond to noisy messages and the decoding problem infers the graph from the observations. Current analysis of graphical model selection algorithms is limited to studying graph estimators that output a unique graph. In this paper, we consider graph estimators that output a set of graphs, leading to set-based graphical model selection (SB-GMS). This has connections to list-decoding where a decoder outputs a list of possible codewords instead of a single codeword. Our main contribution is to derive necessary conditions for accurate SB-GMS for various classes of graphical models and show reduction in the number of samples required for consistent estimation. Further, we derive necessary conditions on the cardinality of the set-based estimates given graph parameters.","PeriodicalId":208375,"journal":{"name":"2011 IEEE International Symposium on Information Theory Proceedings","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126636858","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 9
Effective capacity region and optimal power control for fading broadcast channels 衰落广播信道的有效容量区域和最优功率控制
2011 IEEE International Symposium on Information Theory Proceedings Pub Date : 2011-10-03 DOI: 10.1109/ISIT.2011.6034123
Deli Qiao, M. C. Gursoy, Senem Velipasalar
{"title":"Effective capacity region and optimal power control for fading broadcast channels","authors":"Deli Qiao, M. C. Gursoy, Senem Velipasalar","doi":"10.1109/ISIT.2011.6034123","DOIUrl":"https://doi.org/10.1109/ISIT.2011.6034123","url":null,"abstract":"1 Transmission over fading broadcast channels in the presence of quality of service (QoS) constraints is studied. Effective capacity, which provides the maximum constant arrival rate that a given service process can support while satisfying statistical QoS constraints, is employed as the performance metric. The effective capacity region achieved with superposition coding and successive interference cancellation is identified and is shown to be convex. Subsequently, optimal power control policies that achieve the boundary points of the effective capacity region are investigated, and an algorithm for the numerical computation of the optimal power adaptation schemes for the two-user case is provided. Additionally, performance attained with time-division multiplexing (TDM) of messages is studied for comparison with the optimal schemes.","PeriodicalId":208375,"journal":{"name":"2011 IEEE International Symposium on Information Theory Proceedings","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125725792","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Noisy analog network coding for the two-way relay channel 噪声模拟网络的双向中继信道编码
2011 IEEE International Symposium on Information Theory Proceedings Pub Date : 2011-10-03 DOI: 10.1109/ISIT.2011.6033919
M. N. Khormuji, M. Skoglund
{"title":"Noisy analog network coding for the two-way relay channel","authors":"M. N. Khormuji, M. Skoglund","doi":"10.1109/ISIT.2011.6033919","DOIUrl":"https://doi.org/10.1109/ISIT.2011.6033919","url":null,"abstract":"An achievable rate region based on Shannon's inner bound is given for the two-way relay channel. The relaying scheme operates on noisy received signals and generates new analog values to be transmitted to a destination. The scheme is therefore referred to as noisy analog network coding. The achievable rates are then optimized for a Gaussian two-way relay channel, when the relay is memoryless (this type of relaying is also known as instantaneous relaying). For one particular instance of the channel when the received signal at the relay is noiseless, it is shown that instantaneous noisy analog network coding can be optimal. For the noisy case, a numerical optimization algorithm is presented in order to optimize the instantaneous coding strategy. The optimized analog mapping turns out to be nonlinear and periodic. Finally, it is demonstrated that the achievable rates associated with optimized mappings can outperform those achieved by linear relaying, compress-and-forward, and can operate close to the recently proposed noisy network coding scheme.","PeriodicalId":208375,"journal":{"name":"2011 IEEE International Symposium on Information Theory Proceedings","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116257282","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 9
Capacity of a class of overlay cognitive MAC radios 一类覆盖认知MAC无线电的容量
2011 IEEE International Symposium on Information Theory Proceedings Pub Date : 2011-10-03 DOI: 10.1109/ISIT.2011.6033997
G. Chung, S. Vishwanath
{"title":"Capacity of a class of overlay cognitive MAC radios","authors":"G. Chung, S. Vishwanath","doi":"10.1109/ISIT.2011.6033997","DOIUrl":"https://doi.org/10.1109/ISIT.2011.6033997","url":null,"abstract":"This paper considers a class of overlay cognitive radios with three messages, referred to as overlay cognitive MAC radios. The system consists of two transmitters and receivers but three independent messages, two of which are to be decoded at one receiver while the third is destined for the other receiver. An achievable region and an outer bound for the “weak” and “strong” interference cases are presented for this channel, which are ultimately shown to match for the special class of “weak” Gaussian overlay cognitive MAC radios.","PeriodicalId":208375,"journal":{"name":"2011 IEEE International Symposium on Information Theory Proceedings","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116660479","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Optimum joint detection and estimation 最优联合检测与估计
2011 IEEE International Symposium on Information Theory Proceedings Pub Date : 2011-10-03 DOI: 10.1109/ISIT.2011.6034125
G. Moustakides
{"title":"Optimum joint detection and estimation","authors":"G. Moustakides","doi":"10.1109/ISIT.2011.6034125","DOIUrl":"https://doi.org/10.1109/ISIT.2011.6034125","url":null,"abstract":"We consider the problem of simultaneous binary hypothesis testing and parameter estimation. By defining suitable joint formulations we develop combined detection and estimation strategies that are optimum. Key point of the proposed methodologies constitutes the fact that they integrate both well known approaches, namely Bayesian and Neyman-Pearson.","PeriodicalId":208375,"journal":{"name":"2011 IEEE International Symposium on Information Theory Proceedings","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125267738","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 23
Interference alignment aided by relays for the quasi-static X channel 准静态X通道用继电器辅助的干扰对准
2011 IEEE International Symposium on Information Theory Proceedings Pub Date : 2011-10-03 DOI: 10.1109/ISIT.2011.6034048
Dong-Sup Jin, Jong-Seon No, Dong-joon Shin
{"title":"Interference alignment aided by relays for the quasi-static X channel","authors":"Dong-Sup Jin, Jong-Seon No, Dong-joon Shin","doi":"10.1109/ISIT.2011.6034048","DOIUrl":"https://doi.org/10.1109/ISIT.2011.6034048","url":null,"abstract":"In this paper, two relay-aided interference alignment (IA) schemes are proposed for the quasi-static M×2 X channel. The first scheme utilizes one full-duplex relay and the second scheme utilizes two half-duplex relays. In the proposed schemes, transmitters transmit in every time slot and relays operate in amplify-and-forward (AF) mode. By confirming the linear independence between the desired signals and interference and also among the desired signals, it is shown that the proposed schemes can achieve 2M/(M + 1) degrees of freedom (DoF) which is the maximum DoF of M × 2 X channel.","PeriodicalId":208375,"journal":{"name":"2011 IEEE International Symposium on Information Theory Proceedings","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131165028","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 13
Efficient methods for bounding the fractional distance of LDPC codes and obtaining fundamental polytopes of nonbinary and generalized codes LDPC码的分数距离边界及非二进制和广义码的基本多面体的有效方法
2011 IEEE International Symposium on Information Theory Proceedings Pub Date : 2011-10-03 DOI: 10.1109/ISIT.2011.6033739
D. Burshtein, I. Goldenberg
{"title":"Efficient methods for bounding the fractional distance of LDPC codes and obtaining fundamental polytopes of nonbinary and generalized codes","authors":"D. Burshtein, I. Goldenberg","doi":"10.1109/ISIT.2011.6033739","DOIUrl":"https://doi.org/10.1109/ISIT.2011.6033739","url":null,"abstract":"A method which obtains a tight lower bound on the fractional distance of LDPC codes is proposed. This algorithm exhibits complexity which scales quadratically with the block length, and thus less than currently-known methods. We also show how the fundamental LP polytope for generalized LDPC codes and nonbinary LDPC codes can be obtained.","PeriodicalId":208375,"journal":{"name":"2011 IEEE International Symposium on Information Theory Proceedings","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116529863","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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