University of Tabriz Tabriz Journal of Electrical Engineering 2008-7799 48 4 2019 02 20 Improving the rate of polarization in polar codes by using new generator matrix Improving the rate of polarization in polar codes by using new generator matrix 1490 1481 8497 FA S. Pakravan Faculty of Engineering, University of Guilan, Guilan, Iran H. Tavakoli Faculty of Engineering, University of Guilan, Guilan, Iran Journal Article 2017 02 23 Polar codes were recently proposed by Arikan and are constructed based upon a phenomenon that called channel polarization. The basic polarization matrix is given as . A challenging problem related to the design of polar codes is choose a suitable generator matrix , where is an arbitrary integar and , since in this state we have several choices for , unlike Arikan works that has only just one linear form. In this paper, we have compared status , that is simplest case from changing matrix with Arikan's work. As carry out simulations for this schema to show that there is eventuality selection unsuitable channel for the transmission information and find the best generator matrix. Finally have been proposed a briefly on the probability of error and complexity in this schema. Polar codes were recently proposed by Arikan and are constructed based upon a phenomenon that called channel polarization. The basic polarization matrix is given as . A challenging problem related to the design of polar codes is choose a suitable generator matrix , where is an arbitrary integar and , since in this state we have several choices for , unlike Arikan works that has only just one linear form. In this paper, we have compared status , that is simplest case from changing matrix with Arikan's work. As carry out simulations for this schema to show that there is eventuality selection unsuitable channel for the transmission information and find the best generator matrix. Finally have been proposed a briefly on the probability of error and complexity in this schema. https://tjee.tabrizu.ac.ir/article_8497_1003c4a6d03539c0e3e435a1f8bc7bdd.pdf