| On a Fast P-ary m-Sequence Transform |
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| 作者姓名： | 唐小虎 范平志 |
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| 作者单位： | Institute of Mobile Communications，Institute of Mobile Communications Southwest Jiaotong University，Chengdu 610031，China，Southwest Jiaotong University，Chengdu 610031，China |
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| 基金项目： | TheNationalScienceFoundationof
China (No .6 0 30 2 0 15 )andtheFoundamentalScienceFoun dationofSouthwestJiaotongUniversity (No .2 0 0 3B0 5 ) |
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| 摘 要： | m-sequences have been used widely in many applications,but the corresponding computation of the correlation-detection is overwhelming N^2 operations,where N is the length of the m-sequence,such that it is unpractical. In this paper,a transform from p-ary m-sequence matrices to generalized Hadamard Matrices is developed;and then by the fast generalized Hadamard matrices transform,a fast p-ary m-sequence transform is developed.The results show that the computation can be dramatically reduced from N^2 to NlogpN operations,so the fast p-ary m-sequence transform could enable a rapid correlation-detection at the receiver.
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| 关 键 词： | m-序列转换 m-序列矩阵 非线性反馈记录 通信系统 Hadamard传输矩阵 |
On a Fast p-ary m-Sequence Transform |
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| Tang Xiaohu Fan Pingzhi Institute of Mobile Communications,Southwest Jiaotong University,Chengdu ,China.On a Fast P-ary m-Sequence Transform[J].Journal of Southwest Jiaotong University,2004,12(1):15-19. |
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| Authors: | Tang Xiaohu Fan Pingzhi Institute of Mobile Communications Southwest Jiaotong University Chengdu China |
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| Institution: | Institute of Mobile Communications, Southwest Jiaotong University, Chengdu 610031, China |
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| Abstract: | m-Sequences have been used widely in many applications, but the corresponding computation of the correlation-detection is overwhelming N2 operations, where N is the length of the m-sequence, such that it is unpractical. In this paper, a transform from p-ary m-sequence matrices to generalized Hadamard matrices is developed; and then by the fast generalized Hadamard matrices transform, a fast p-ary m-sequence transform is developed. The results show that the computation can be dramatically reduced from N2 to Nlog pN operations, so the fast p-ary m-sequence transform could enable a rapid correlation-detection at the receiver. |
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| Keywords: | m-Sequence m-Sequence matrix Generalized Hadamard matrices transform m-Sequence transform |
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