A Class of Transformations that Polarize Symmetric Binary-Input Memoryless Channels
Satish Babu Korada, Eren Şaşoğlu · arXiv (Cornell University) · 2008
A generalization of Arıkan's polar code construction using transformations of the form $G^{\otimes n}$ where $G$ is an $\ell \times \ell$ matrix is considered. Necessary and sufficient conditions are given for these transformations to ensure channel polarization. It is shown that a large class of such transformations polarize symmetric binary-input memoryless channels.