Arikan meets Shannon: Polar codes with near-optimal convergence to channel capacity
暂无分享,去创建一个
[1] J. Wolfowitz. The coding of messages subject to chance errors , 1957 .
[2] Rüdiger L. Urbanke,et al. Polar Codes: Characterization of Exponent, Bounds, and Constructions , 2010, IEEE Transactions on Information Theory.
[3] Jean-Claude Belfiore,et al. Multi-kernel construction of polar codes , 2016, 2017 IEEE International Conference on Communications Workshops (ICC Workshops).
[4] Hsin-Po Wang,et al. Polar-like Codes and Asymptotic Tradeoff among Block Length, Code Rate, and Error Probability , 2018, ArXiv.
[5] Rüdiger L. Urbanke,et al. Polar Codes for Channel and Source Coding , 2009, ArXiv.
[6] Johannes B. Huber,et al. Information Combining , 2006, Found. Trends Commun. Inf. Theory.
[7] Meir Feder,et al. The Random Coding Bound Is Tight for the Average Linear Code or Lattice , 2013, IEEE Transactions on Information Theory.
[8] Simon Litsyn,et al. Mixed-Kernels Constructions of Polar Codes , 2016, IEEE Journal on Selected Areas in Communications.
[9] Robert G. Gallager,et al. A simple derivation of the coding theorem and some applications , 1965, IEEE Trans. Inf. Theory.
[10] Hsin-Po Wang,et al. Polar Codes' Simplicity, Random Codes' Durability , 2019, ArXiv.
[11] Devdatt P. Dubhashi,et al. Balls and Bins: A Study in Negative Dependence , 1996 .
[12] Erdal Arikan,et al. Channel Polarization: A Method for Constructing Capacity-Achieving Codes for Symmetric Binary-Input Memoryless Channels , 2008, IEEE Transactions on Information Theory.
[13] Valerio Bioglio,et al. Multi-kernel polar codes: Proof of polarization and error exponents , 2017, 2017 IEEE Information Theory Workshop (ITW).
[14] Emre Telatar,et al. On the rate of channel polarization , 2008, 2009 IEEE International Symposium on Information Theory.
[15] G. David Forney,et al. Concatenated codes , 2009, Scholarpedia.
[16] Rüdiger L. Urbanke,et al. Unified scaling of polar codes: Error exponent, scaling exponent, moderate deviations, and error floors , 2015, 2015 IEEE International Symposium on Information Theory (ISIT).
[17] G. D. J. Forney,et al. On exponential error bounds for random codes on the BSC , 2001 .
[18] Alexander Barg,et al. Random codes: Minimum distances and error exponents , 2002, IEEE Trans. Inf. Theory.
[19] V. Strassen,et al. Asymptotic Estimates in Shannon ’ s Information Theory , 2009 .
[20] Arman Fazeli,et al. Explicit Polar Codes with Small Scaling Exponent , 2019, 2019 IEEE International Symposium on Information Theory (ISIT).
[21] Erdal Arikan,et al. Source polarization , 2010, 2010 IEEE International Symposium on Information Theory.
[22] Rüdiger L. Urbanke,et al. Modern Coding Theory , 2008 .
[23] David Burshtein,et al. Improved Bounds on the Finite Length Scaling of Polar Codes , 2013, IEEE Transactions on Information Theory.
[24] Vera Miloslavskaya,et al. Design of binary polar codes with arbitrary kernel , 2012, 2012 IEEE Information Theory Workshop.
[25] Sever S Dragomir,et al. A Refinement and a divided difference reverse of Jensen's inequality with applications , 2016 .
[26] Arman Fazeli,et al. Binary Linear Codes with Optimal Scaling and Quasi-Linear Complexity , 2017, ArXiv.
[27] H. Vincent Poor,et al. Channel Coding Rate in the Finite Blocklength Regime , 2010, IEEE Transactions on Information Theory.
[28] Rüdiger L. Urbanke,et al. Finite-Length Scaling for Polar Codes , 2013, IEEE Transactions on Information Theory.
[29] K. Joag-dev,et al. Negative Association of Random Variables with Applications , 1983 .
[30] O. Antoine,et al. Theory of Error-correcting Codes , 2022 .
[31] F. MacWilliams,et al. The Theory of Error-Correcting Codes , 1977 .
[32] Venkatesan Guruswami,et al. Polar Codes: Speed of Polarization and Polynomial Gap to Capacity , 2013, 2013 IEEE 54th Annual Symposium on Foundations of Computer Science.
[33] Arman Fazeli,et al. On the scaling exponent of binary polarization kernels , 2014, 2014 52nd Annual Allerton Conference on Communication, Control, and Computing (Allerton).
[34] Alexander Vardy,et al. How to Construct Polar Codes , 2011, IEEE Transactions on Information Theory.
[35] Sang Joon Kim,et al. A Mathematical Theory of Communication , 2006 .
[36] Toshiyuki Tanaka,et al. Source and Channel Polarization Over Finite Fields and Reed–Solomon Matrices , 2012, IEEE Transactions on Information Theory.
[37] Alexander Barg,et al. Polar codes using dynamic kernels , 2015, 2015 IEEE International Symposium on Information Theory (ISIT).
[38] Venkatesan Guruswami,et al. General strong polarization , 2018, Electron. Colloquium Comput. Complex..
[39] Albert Guillén i Fàbregas,et al. Extremes of random coding error exponents , 2011, 2011 IEEE International Symposium on Information Theory Proceedings.
[40] Rüdiger L. Urbanke,et al. Near-optimal finite-length scaling for polar codes over large alphabets , 2016, 2016 IEEE International Symposium on Information Theory (ISIT).