Abstract:
We provide upper and lower bounds on the escape rate of the Bhattacharyya process corresponding to polar codes where transmission takes place over the the binary erasure ...Show MoreMetadata
Abstract:
We provide upper and lower bounds on the escape rate of the Bhattacharyya process corresponding to polar codes where transmission takes place over the the binary erasure channel. More precisely, we bound the exponent of the number of sub-channels whose Bhattacharyya constant falls in a fixed interval [a, b]. Mathematically this can be stated as bounding the limit limn→8 1overn ln ℙ(Zn ∈ [a, b]), where Zn is the Bhattacharyya process. The quantity ℙ(Zn ∈ [a, b]) represents the fraction of sub-channels that are still un-polarized at time n.
Published in: 2010 IEEE International Symposium on Information Theory
Date of Conference: 13-18 June 2010
Date Added to IEEE Xplore: 23 July 2010
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