Blind reconstruction of linear scrambler

作     者：Hui Xie Fenghua Wang Zhitao Huang 

作者机构：Department of Electronic and Optics EngineeringOrdance Engineering College College of Electronic Science and EngineeringNational University of Defense Technology 

出 版 物：《Journal of Systems Engineering and Electronics》 (系统工程与电子技术（英文版）)

年 卷 期：2014年第25卷第4期

页      面：560-565页

核心收录：

学科分类：07[理学] 08[工学] 070104[理学-应用数学] 081101[工学-控制理论与控制工程] 0701[理学-数学] 0811[工学-控制科学与工程] 

基　　金：supported by the National Natural Science Foundation of China(61072120) 

主　　题：scrambler linear feedback shift register (LFSR) reconstruction eigenanalysis Walsh-Hadamard transform. 

摘      要：An algorithm based on eigenanalysis technique and Walsh-Hadamard transform （WriT） is proposed. The algorithm contains two steps. Firstly, the received sequence is divided into temporal windows, and a covariance matrix is computed. The linear feedback shift register （LFSR） sequence is reconstructed from the first eigenvector of this matrix. Secondly, equations according to the recovered LFSR sequence are constructed, and the Walsh spectrum corresponding to the equations is computed. The feedback polynomial of LFSR is estimated from the Walsh spectrum. The validity of the algorithm is verified by the simulation result. Finally, case studies are presented to illustrate the performance of the blind reconstruction method.