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Beta-Expansion: A Theoretical Framework for Fast and Recursive Construction of Polar Codes

Beta-Expansion: A Theoretical Framework for Fast and Recursive Construction of Polar Codes

In this work, we introduce β-expansion, a notion borrowed from number theory, as a theoretical framework to study fast construction of polar codes based on a recursive structure of universal partial order (UPO) and polarization weight (PW) algorithm. We show that polar codes can be recursively constructed from UPO by …