A Method for Reconstruction of m Sequence Based on the Equivalence with BCH Codes
Chai Xian-ming① Wei Yue-min① Shi Dong-feng① Cai Kai① Huang Zhi-tao②
①(Beijing Institute of Remote Sensing Information, Beijing 100192, China) ②(Department of Electronic Science and Engineering, National University of Defense Technology, Changsha 410073, China)
Abstract:The issue of insufficient efficiency and accuracy of current estimation methods for characteristic polynomial of m sequence under high error conditions is studied. A equivalent relationship between m sequence and BCH codes is derived by studying their generation principles, and then a new estimation algorithm for characteristic polynomial of m sequence is proposed in the paper. By constructing equivalent BCH codes, characteristic polynomial of m sequence is estimated using their good error-correction performance under high error conditions. Simulation results show that the algorithm can solve the estimation for characteristic polynomial of m sequence under error conditions, operation speed of the algorithm can mainly be accepted for analysis of m sequence lower than 20-order in signal processing.
柴先明, 魏跃敏, 师栋锋, 蔡凯, 黄知涛. 一种基于与BCH码等价原理的m序列重构算法[J]. 电子与信息学报, 2011, 33(2): 304-308.
Chai Xian-Ming, Wei Yue-Min, Shi Dong-Feng, Cai Kai, Huang Zhi-Tao. A Method for Reconstruction of m Sequence Based on the Equivalence with BCH Codes. , 2011, 33(2): 304-308.