Study of polar codes MIMO channels polarization using MIMO system

Polar codes are known as the first provable code construction to achieve Shannon capacity for arbitrary symmetric binary input channels. Several schemes to provides both detection/decoding of the transmitted and the transmit antenna index in Multiple-Input Multiple-Output (MIMO) antenna systems were proposed in the literature for polar codes. In this paper we have critically analyzed various MIMO channel polarization using polar codes extended to the multiple antenna transmission, and also have covered free polar set and frozen polar set for respectively mapping transmitted information and transmit antenna index.

[1]  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.

[2]  Abbas Jamalipour,et al.  Wireless communications , 2005, GLOBECOM '05. IEEE Global Telecommunications Conference, 2005..

[3]  Erdal Arikan.  Channel combining and splitting for cutoff rate improvement , 2006, IEEE Transactions on Information Theory.

[4]  H. Xu,et al.  Polar coded spatial modulation , 2014, IET Commun..

[5]  Sang Joon Kim,et al.  A Mathematical Theory of Communication , 2006 .

[6]  Toshiyuki Tanaka,et al.  Non-binary polar codes using Reed-Solomon codes and algebraic geometry codes , 2010, 2010 IEEE Information Theory Workshop.

[7]  C. Arunachalaperumal,et al.  Design of Low Complexity Polar Coded Spatial Modulation , 2015 .

[8]  Harald Haas,et al.  On the Performance of Trellis Coded Spatial Modulation , 2009 .

[9]  Kai Chen,et al.  Space-Time Polar Coded Modulation , 2013, ArXiv.

[10]  George K. Karagiannidis,et al.  Securing the MIMO Wiretap Channel with Polar Codes and Encryption , 2015, ArXiv.

[11]  Liang Zhang,et al.  On the polar codes for MIMO , 2013, 2013 International Conference on Wireless Communications and Signal Processing.

[12]  Lajos Hanzo,et al.  Quadrature Amplitude Modulation , 2011 .

[13]  Shengmei Zhao,et al.  A concatenation scheme of Polar codes and space-time block codes in multiple-input multiple-output channels , 2013, 2013 6th International Congress on Image and Signal Processing (CISP).