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Bi-alphabetic pulse compression radar signal design

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Abstract

Ternary sequences have superior merit factors but they cannot be transmitted with existing technology. It is proposed that a ternary sequence be coded into a binary sequence for the purpose of transmission. On reception it can be processed as a binary sequence as received and also decoded into a ternary sequence. These two interpretations provide a coincidence detection scheme for efficient target detection provided that the corresponding signal design problem is solved. Such an algorithm is developed by taking the merit factor as desideratum and the Hamming scan as optimization technique. Merit factor values obtained in some cases are further improved by implementing a back-tracking algorithm for bi-alphabetic sequence.

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References

  • Barker R H 1953 Group synchronization of binary digital systems. InCommunication theory (ed.) W Jackson (London: Butterworths)

    Google Scholar 

  • Beenker G F M, Claasen TAC M, Heime P W C 1985 Binary sequences with a maximally flat amplitude spectrum.Phillips J. Res. 40: 289–304

    MATH  Google Scholar 

  • Bernasconi J 1987 Low autocorrelation binary sequences: statistical mechanics and configuration space analysis.J. Phys. 48: 559–567

    Google Scholar 

  • Bernasconi J 1988 Optimization problems and statistical mechanics.Proc. Workshop on Chaos and Complexity, 1987 (Torino: World Scientific)

    Google Scholar 

  • Baumert L D 1971Cyclic difference sets (Berlin: Springer-Verlag)

    MATH  Google Scholar 

  • Cook C E, Bernfeld M 1967Radar signals (New York: Academic Press)

    Google Scholar 

  • De Groot C, Wurtz D, Hoffman K H 1992 Low autocorrelation binary sequences: exact enumeration and optimization by evolutionary stratigies.Optimization 23: 369–384

    Article  MATH  MathSciNet  Google Scholar 

  • Deergha Rao K, Sridhar G 1995 Improving performance in pulse radar detection using neural networks.IEEE Trans. Aerosp. Electron. Syst. 30: 1193–1198

    Google Scholar 

  • Golay M J E 1972 A class of finite binary sequences with alternate autocorrelation values equal to zero.IEEE Trans. Inf. Theory IT-18: 449–450

    Article  Google Scholar 

  • Golay M J E 1977 Sieves for low autocorrelation binary sequences.IEEE Trans. Inf. Theory IT-23: 43–51

    Article  Google Scholar 

  • Golay M J E 1982 The merit factor of long low autocorrelation binary sequences.IEEE Trans. Inf. Theory IT-28: 543–549

    Article  Google Scholar 

  • Golay M J E 1983 The merit factor of Legendré sequences.IEEE Trans. Inf. Theory IT-29: 934–936

    Article  Google Scholar 

  • Golay MJ E, Harris D 1990 A new search for skew-symmetric binary sequences with optimal merit factors.IEEE Trans. Inf. Theory 36: 1163–1166

    Article  Google Scholar 

  • Hoholdt T, Justesen J 1988 Determination of the merit factor of Legendré sequences.IEEE Trans. Inf. Theory IT-34: 161–164

    Article  MathSciNet  Google Scholar 

  • Hoholdt T, Jensen H E, Justesen J 1985 Aperiodic correlations and the merit factor of a class of binary sequences.IEEE Trans. Inf. Theory IT-31: 549–552

    Article  MathSciNet  Google Scholar 

  • Jensen J M, Jensen H E, Hoholdt T 1991 The merit factor of binary sequences related to difference sets.IEEE Trans. Inf. Theory IT-37: 617–626

    Article  MathSciNet  Google Scholar 

  • Kerdock A M, Meyar R, Bass D 1986 Longest binary pulse compression codes with given peak side lobe levels.Proc. IEEE 74: 366

    Article  Google Scholar 

  • Kwan H K, Lee C K 1989 Pulse radar detection using a multilayer neural network.Proc. Int. Joint Conf. on Neural Networks, Washington, 2: 75–85

    Article  Google Scholar 

  • Kwan H K, Lee C K 1993 A neural network approach to pulse radar detection.IEEE Trans. Aerosp. Electron. Syst. 29: 9–21

    Article  Google Scholar 

  • Moharir P S 1975 Generation of the approximation to binary white noise.J. IETE 21: 5–7

    Google Scholar 

  • Moharir P S 1998 Non-linear non gaussian inversion.Inverse methods: general principles and applications to earth sciences (eds) N K Indira, P K Gupta (New Delhi: Narosa)

    Google Scholar 

  • Moharir P S, Subba Rao K 1997 Nonbinary sequences with superior merit factors.IETE J. Res. 1: 49–53

    Google Scholar 

  • Moharir P S, Maru V M, Singh R 1996 S-K-H algorithm for signal design.Electron. Lett. 32: 1648–1649

    Article  Google Scholar 

  • Moharir P S, Maru V M, Singh R 1997a Bi-parental product algorithm for coded wave form design in radar.Sādhanā 22: 589–599

    Google Scholar 

  • Moharir P S, Maru V M, Singh R 1997b Untrapping techniques for radar signal design.Electron. Lett. 33: 631–633

    Article  Google Scholar 

  • Moharir P S, Maru V M, Singh R 1998 Simonization for signal design.Sādhanā 23: 351–358

    Google Scholar 

  • Newmann D J, Byrnes J S 1990 The L norm of polynomial with coefficients+1.Am. Math. Mon. 97: 42–45

    Article  MATH  Google Scholar 

  • Singh R, Moharir P S, Maru V M 1996 Eugenic algorithm-based search for ternary pulse compression sequences.J. Inst. Electron. Telecommun. Eng. 42: 11–19

    Google Scholar 

  • Turyn R 1963 Optimum code study. Sylvania Electric Systems Rep. F 437-1

  • Turyn R 1968 Sequences with small correlation. InError correcting codes (ed.) H B Mann (New York: Wiley) pp 195–228

    Google Scholar 

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Pasha, I.A., Moharir, P.S. & Rao, N.S. Bi-alphabetic pulse compression radar signal design. Sadhana 25, 481–488 (2000). https://doi.org/10.1007/BF02703629

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