Abstract
Polyphase Barker Sequences are finite length, uniform complex sequences; the magnitude of their aperiodic autocorrelation sidelobes are bounded by 1. Such sequences have been used in numerous real-world applications such as channel estimation, radar and spread spectrum communication. In this paper, thirty-two phase Barker sequences up to length 24 with an alphabet size of only 32 are presented. The sequences from length 25 to 289 have autocorrelation properties better than well-known Frank codes. Because of the complex structure the sequences are very difficult to detect and analyse by an enemy’s electronic support measures (ESMs). The synthesized sequences are promising for practical application to radar and spread spectrum communication systems. These sequences are found using the Modified Simulated Annealing Algorithm (MSAA). The convergence rate of the algorithm is good.
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References
Barker R H 1953 Group synchronizing of binary digital system in Jackson W (Ed): Communication theory (Butterworths, London) 273–287
Bomer L, Antweiler M 1989 Polyphase barker sequences. Electronics Letters 34(16): 1577–1579
Brenner AR 1998 Polyphase barker sequences upto length 45 with small alphabets. Electronics Letters 34(16): 1576–1577
Carroll J Nunn, Gregory E Coxson 2009 Polyphase pulse compression codes with optimal peak and integrated sidelobes. IEEE TAES 45(2): 775–781
Cook C E, Bernfield M 1967 An introduction to theory and application. Radar Signals (New York: Academic Press)
Farnett E C, Stevens G H 1990 Pulse compression radar. Radar Handbook, Second ed. (New York: McGraw-Hill)
Frank R L 1963 Polyphase codes with good non-periodic correlation properties. IEEE Trans. Inform. Theory IT-9: 43–45
Friese M 1996 Polyphase Barker sequences upto length 36. IEEE Trans. Inf. Theory IT-42(4):1248–1250
Friese M, Zottmann H 1994 Polyphase Barker sequences upto length 31. Electronics Letters 30(23): 1930–1931
Golomb S W, Scholtz R A 1965 Generalized Barker sequences. IEEE Trans. Inf. Theory IT-11(4):533–537
Greg Coxson, Jon Russo 2004 Efficient exhaustive search for optimal peak sidelobe binary codes. Proceeding of IEEE: 438–443
Kirkpatrick S C D, Gelatt M P Vecchi 1983 Optimization by simulated annealing. Science 220:671–680
Matthew A Ferrara 2006 Near optimal peak sidelobe Binary codes. Proceeding of IEEE: 400–403
Moharir P S, Singh R, Maru VM 1996 S-K-H algorithm for signal design. Electronics Letters 32(18): 1642–1649
Moharir P S, Maru V M, Singh R 1997 Bi-parental product algorithm for coded waveform design in radar. Sādhanā 22(5): 589–599
Nadav Levanon, Eli Mozeson 2004 Radar signals IEEE Press, Wiley Interscience
Peter Browein, Ron Fergusion 2005 Polyphase sequence with low autocorrelation. IEEE Trans. Inf. Theory IT-51(4): 1564–1567
Singh S P, Subba Rao K 2005 A modified simulated annealing algorithm for binary coded radar signal design. Proc. International Radar Symposium India: 693–697
Singh S P, Subba Rao K 2006 Modified simulated annealing algorithm for polyphase code design. Proc. IEEE ISIE-06 Canada: 2961–2971
Zhang N, Golomb S W 1989 Sixty phase generalized Barker sequences. IEEE Trans. Inf. Theory IT-35(4): 911–912
Zhang N, Golomb S W 1996 7200-phase generalized Barker sequences. IEEE Trans. Inf. Theory IT-35(4): 1236–1238
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Singh, S.P., Subba Rao, K. Thirty-two phase sequences design with good autocorrelation properties. Sadhana 35, 63–73 (2010). https://doi.org/10.1007/s12046-010-0001-5
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DOI: https://doi.org/10.1007/s12046-010-0001-5