Implementation of Polar Codes in 5g
Journal Title: International Journal for Research in Applied Science and Engineering Technology (IJRASET) - Year 2017, Vol 5, Issue 4
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
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