On the scaling of polar codes: I. The behavior of polarized channels

On the scaling of polar codes: I. The behavior of polarized channels

We consider the asymptotic behavior of the polarization process for polar codes when the blocklength tends to infinity. In particular, we study the asymptotics of the cumulative distribution P(Z n ≤ z), where Z n = Z(W n ) is the Bhattacharyya process, and its dependence on the rate of transmission...

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Hassani, S Hamed, Urbanke, Rudiger
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Binary sequences
Binary trees
Channel capacity
Decoding
Error probability
H infinity control
Polarization
Random variables
Visualization
Zinc
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Beschreibung
Zusammenfassung:We consider the asymptotic behavior of the polarization process for polar codes when the blocklength tends to infinity. In particular, we study the asymptotics of the cumulative distribution P(Z n ≤ z), where Z n = Z(W n ) is the Bhattacharyya process, and its dependence on the rate of transmission R. We show that for a BMS channel W, for R
ISSN:2157-8095
2157-8117
DOI:10.1109/ISIT.2010.5513586