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Volume 32 Issue 2
Aug.  2010
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Tu Yi-feng, Shinya Matsufuji, Fan Ping-zhi, Li Xu-dong. Analysis and Construction of Golay Pair Based on Generating Function[J]. Journal of Electronics & Information Technology, 2010, 32(2): 335-339. doi: 10.3724/SP.J.1146.2009.00533
Citation: Tu Yi-feng, Shinya Matsufuji, Fan Ping-zhi, Li Xu-dong. Analysis and Construction of Golay Pair Based on Generating Function[J]. Journal of Electronics & Information Technology, 2010, 32(2): 335-339. doi: 10.3724/SP.J.1146.2009.00533

Analysis and Construction of Golay Pair Based on Generating Function

doi: 10.3724/SP.J.1146.2009.00533
  • Received Date: 2009-04-13
  • Rev Recd Date: 2009-09-16
  • Publish Date: 2010-02-19
  • In this paper, an approach called generating function is proposed to construct Golay pair of length 2n and its mate based on conventional interleaving and concatenation method. Relationship between generating function of Golay pair and Sylvester Hadamard matrix is also investigated, which not only helps to calculate the total number of Golay pair of specific length, but also helps to apply Hadamard factorization to Golay pair generation. Based on generating function, lots of Golay pair can be produced conveniently for multi-target applications. Generating functions are expressed by binary vector, XOR and AND operations, which greatly facilitates the physical implementation of sequence generation.
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  • Fan Ping-zhi and Darnell M. Sequence Design for Communications Applications[M]. New York: Wiley, 1996, Chapter 13.[2]Oolun M K. Electrical systems identification using Golay complementary series[J].IEE Proceedings-Science, Measurement and Technology.1997, 144(6):267-272[3]Davis A J and Jedwab J. Peak-to-mean power control in OFDM, Golay complementary sequences, and Reed-Muller codes[J].IEEE Transactions on Information Theory.1999, 45(7):2397-2417[4]Ana V A, Manuel G S, and Inigo C. Improvement of wideband radio channel swept time-delay cross-correlation sounders by using Golay sequences[J].IEEE Transactions on Vehicular Technology.2007, 56(1):362-368[5]Groenewald J M and Maharai B T. MIMO channel synchronization using Golay complementary pairs[C]. AFRICON, Windhoek, 2007, 1-5.[6]Shin Q S, Kung H T, and Tarokh V. Construction of block orthogonal Golay sequences and application to channel estimation of MIMO-OFDM systems[J].IEEE Transactions on Communications.2008, 56(1):27-31[7]Wang H M, Gao X Q, Jiang B, You X H, and Hong W. Efficient MIMO channel estimation using complementary sequences[J].IET Communications.2007, 1(5):962-969[8]Li Ying and Chu Wen-bin. More Golay sequences[J].IEEE Transactions on Information Theory.2005, 51(3):1141-1145[9]Rathinakumar A and Chaturvedi A K. Complete mutually orthogonal Golay complementary sets from Reed-Muller codes[J].IEEE Transactions on Information Theory.2008, 54(3):1339-1346[10]Lee M and Kaveh M. Fast Hadamard transform based on a simple matrix factorization[J].IEEE Transactions on Acoustics, Speech and Signal Processing.1986, 34(6):1666-1667[11]Tseng C C. Eigenvector and fractionalization of discrete Hadamard transform[C]. IEEE International Symposium On Circuits and Systems, IEEE Press, New Orleans, 2007, 2307-2310.[12]Takatsukasa K, Matsufuji S, and Tanada Y. Formalization of binary sequence sets with zero correlation zone[J]. IEICE Transactions on Fundmentals, 2004, 87(4): 887-891.[13]Fan Ping-zhi, Yuan Wei-na, and Tu Yi-feng. Z-complementary binary set[J].IEEE Signal Processing Letters.2007, 14(2):509-512
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