Explicit construction of provably capacity achieving code sequences with low

Explicit construction of provably capacity achieving

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Explicit construction of provably capacity-achieving code sequences with low encoding and decoding complexities has since then been an elusive goal. It has been seen that polar codes help in achieving capacity of the channel. The preliminary conclusion of this is that polar codes can outperform the FEC currently used in communications systems. Polar codes may also be able to outperform other codes that could be used to replace the current codes. Polar codes are more likely to be useful at higher data rates. Further research is needed to test polar codes, using more realistic models of systems and their RF environments. REFERENCES [1] E. Arıkan, “Channel Polarization: A Method for Constructing Capacity-Achieving Codes for Symmetric Binary- Input Memoryless Channels,” IEEE Trans. Inf. Theory, vol. 55, no. 7, pp. 3051 3073, Jul. 2009. [2] S. B. Korada, “Polar Codes for Channel and Source Coding,” Ph.D. dissertation, EPFL, Lausanne, Switzerland, Jul. 2009. [3] I. Tal and A. Vardy, “How to Construct Polar Codes,” talk given in Information Theory Workshop, Dublin, Aug. 2010. [4] S. H. Hassani, S. B. Korada, and R. Urbanke, “The Compound Capacity of Polar Codes,” Proceedings of Allerton Conference on Communication, Control and Computing, Allerton, Sep. 2009. [5] R. Mori and T. Tanaka, “Performance and Construction of Polar Codes on Symmetric Binary-Input Memoryless
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5 Channels,” Proceedings of ISIT, Seoul, South Korea, Jul. 2009, pp. 1496 1500. [6] T. Richardson and R. Urbanke, “Modern Coding Theory,” Cambridge U niversity Press, 2008. [7] E. Arıkan, E. Telatar, “On the Rate of Channel Polarization,” Proceedings of IEEE International Symposium on Information Theory, Seoul, Jul. 2009. [8] R. E. Blahut, Theory and Practice of Error Control Codes. Reading, MA: Addison-Wesley, 1983. [9] I. Reed, “A class of multiple -error-correcting codes and the decoding scheme,”IRETrans.Inf.Theory,vol.IT - 4,no.3,pp.39 44,Sep.1954. [10] S. Lin and D. J. Costello, Jr., Error Control Coding, 2nd ed. Upper Saddle River, N.J.: Pearson, 2004. [11] E.Arıkan,“A performance comparison of polar codes and Reed- Muller codes,” IEEE Commun. Lett., vol. 12, no. 6, pp. 447 449, Jun. 2008.
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  • Winter '18
  • Gaurav Beniwal
  • Information Theory, Coding theory, Error detection and correction, polar codes, Bhagwan Parshuram Institute of Technology

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