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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) |
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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.
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Received: 12 January 2010
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Corresponding Authors:
Chai Xian-ming
E-mail: elevant110@163.com
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