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Synthesis of Difference Patterns for Monopulse Antenna Arrays – An Evolutionary Multi-objective Optimization Approach

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Simulated Evolution and Learning (SEAL 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6457))

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Abstract

Monopulse antennas form an important methodology of realizing tracking radar and they are based on the simultaneous comparison of sum and differencesignals to compute the angle-error and to steer the antenna patterns in the direction of the target (i.e., the boresight direction). In this study, we consider the synthesis problem of difference patterns in monopulse antennas from the perspective of Multi-objective Optimization (MO). The synthesis problem is recast as a multi-objective optimization problem (for the first time, to the best of our knowledge), where the Maximum Side-Lobe Level (MSLL) and Beam Width (BW) of principal lobe are taken as the two objectives. The Optimal Pareto Fronts (OPF) are obtained for different number of elements and subarrays using one of the best-known evolutionary MO algorithms till date, called the Non-dominated Sorting Genetic Algorithm (NSGA-II). The quality of solutions obtained is compared with the help of Pareto fronts on the basis of the two objectives to investigate the dependence of the number of elements and the number of sub-arrays on the final solution. Then we find the best compromise solutions for 20 element array and compare the results with standard single objective algorithms such as the Differential Evolution (DE) that has been reported in literature so far for the synthesis problem.

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References

  1. Skolnik, I.M.: Radar Handbook. McGraw-Hill, New York (1990)

    Google Scholar 

  2. Sherman, S.M.: Monopulse Principles and Techniques. Artech House, Norwood (1984)

    Google Scholar 

  3. Bayliss, E.T.: Design of monopulse antenna difference patterns with low sidelobes. Bell Syst. Tech. J. 47, 623–650 (1968)

    Article  Google Scholar 

  4. McNamara, D.A.: Synthesis of sum and difference patterns for two section monopulse arrays. Proc. Inst. Elect. Eng., pt. H 135(6), 371–374 (1988)

    Google Scholar 

  5. Elliott, R.S.: Antenna theory and design. Prentice Hall, Englewood Cliffs (1981)

    Google Scholar 

  6. López, P., Rodríguez, J.A., Ares, F., Moreno, E.: Subarray weighting for the difference patterns of monopulse antennas: Joint optimization of subarray configurations and weights. IEEE Trans. Antennas Propag. 49(11), 1606–1608 (2001)

    Article  Google Scholar 

  7. Caorsi, S., Massa, A., Pastorino, M., Randazzo, A.: Optimization of the difference patterns for monopulse antennas by a hybrid real/integer coded differential evolution method. IEEE Trans. Antennas Propag. 53(1), 372–376 (2005)

    Article  Google Scholar 

  8. Price, K., Storn, R., Lampinen, J.: Differential evolution – A Practical Approach to Global Optimization. Springer, Berlin (2005)

    MATH  Google Scholar 

  9. Massa, A., Pastorino, M., Randazzo, A.: Optimization of the directivity of a monopulse antenna with a subarray weighting by a hybrid differential evolution method. IEEE Antennas Wireless Propag. Lett. 5, 155–158 (2006)

    Article  Google Scholar 

  10. Deb, K.: Multi-Objective Optimization using Evolutionary Algorithms. John Wiley & Sons, Chichester (2001)

    MATH  Google Scholar 

  11. Coello Coello, C.A., Lamont, G.B., Van Veldhuizen, D.A.: Evolutionary Algorithms for Solving Multi-Objective Problems. Springer, Heidelberg (2007)

    MATH  Google Scholar 

  12. Deb, K., Pratap, A., Agarwal, S., Meyarivan, T.: A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Transactions on Evolutionary Computation 6(2) (2002)

    Google Scholar 

  13. Abido, M.A.: A novel multiobjective evolutionary algorithm for environmental/economic power dispatch. Electric Power Systems Research 65, 71–81 (2003)

    Article  Google Scholar 

  14. Kennedy, J., Eberhart, R.C., Shi, Y.: Swarm Intelligence. Morgan Kaufmann, San Francisco (2001)

    Google Scholar 

  15. Dolph, C.L.: A current distribution for broadside arrays. Proc. IRE 34, 335–348 (1946)

    Article  Google Scholar 

  16. Abramovitz, M., Stegun, I.A.: Handbook of Mathematical Functions. Dover Publications, New York (1965)

    Google Scholar 

  17. Abraham, A., Jain, L.C., Goldberg, R. (eds.): Evolutionary Multiobjective Optimization: Theoretical Advances and Applications. Springer, London (2005)

    MATH  Google Scholar 

  18. Knowles, J.D., Corne, D.W.: Approxmating the nondominated front using the pareto archived evolution strategy. Evolutionary Computation 8(2), 149–172 (2000)

    Article  Google Scholar 

  19. Li, H., Zhang, Q.: Multiobjective optimization problems with complicated Pareto sets, MOEA/D and NSGA-II. IEEE Transactions on Evolutionary Computation 13(2), 284–302 (2009)

    Article  Google Scholar 

  20. Qu, B.Y., Suganthan, P.N.: Multi-Objective Evolutionary Algorithms based on the Summation of Normalized Objectives and Diversified Selection. Information Sciences 180(17), 3170–3181 (2010)

    Article  MathSciNet  Google Scholar 

  21. Zhao, S.Z., Suganthan, P.N.: Two-lbests Based Multi-objective Particle Swarm Optimizer. Engineering Optimization, doi: 10.1080/03052151003686716

    Google Scholar 

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Pal, S., Basak, A., Das, S., Suganthan, P.N. (2010). Synthesis of Difference Patterns for Monopulse Antenna Arrays – An Evolutionary Multi-objective Optimization Approach. In: Deb, K., et al. Simulated Evolution and Learning. SEAL 2010. Lecture Notes in Computer Science, vol 6457. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17298-4_54

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  • DOI: https://doi.org/10.1007/978-3-642-17298-4_54

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-17297-7

  • Online ISBN: 978-3-642-17298-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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