Implementation of Polar Codes in 5g

Abstract

A new proposed method for constructing codes that achieves the symmetric capacity, (the capacity of the channel with the same probabilities for the inputs), I (W) , of any Binary Discrete Memoryless Channel W (BDMC) and this is achieved by channel polarization. Channel polarization refers that out of N independent channels, a second set of N input channels {Wⁱ :1 ≤ i ≤ N} such that, as N becomes large, the fraction of indices i for which I(Wⁱ) is near 1 approaches I(W) and the fraction for which I(Wⁱ) is near 0 approaches 1-I(W). The polarized channels Wⁱ are well-conditioned for channel coding: one need only send data at rate 1 through those with capacity near 1 and at rate 0 through the remaining. Codes constructed on the basis of this idea are called polar codes.The block length while constructing the polar codes should be N=૛ .࢔Better performance is achievable by encoders and decoders with complexity O(log N) for each.

Authors and Affiliations

Dr. G. Indumathi, U. Lakshmi, S. Madhumithra

Keywords

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  • EP ID EP23796
  • DOI http://doi.org/10.22214/ijraset.2017.4089
  • Views 267
  • Downloads 7

How To Cite

Dr. G. Indumathi, U. Lakshmi, S. Madhumithra (2017). Implementation of Polar Codes in 5g. International Journal for Research in Applied Science and Engineering Technology (IJRASET), 5(4), -. https://europub.co.uk./articles/-A-23796