  Polar codes are the first proven capacity-achieving codes. Recently, they are
adopted as the channel coding scheme for 5G due to their superior performance.A
polar code for encoding length-K information bits in length-N codeword could be
specified by the polar code construction method. Most construction methods
define a polar code related to channel parameter set, e.g. designed
signal-to-noise ratio. Polarization weight (PW) is a channel-independent
approximation method, which estimates the subchannel reliability as a function
of its index. In this paper, we generalize the PW method by including
higher-order bases or extended bases. The proposed methods have robust
performance while preserving the computational and mathematical simplicity as
PW.
