1999 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.

IEEE Transactions on Antennas and Propagation
Volume 47 Number 5, May 1999

Table of Contents for this issue

Complete paper in PDF format

Pattern Synthesis for Arbitrary Arrays Using an Adaptive Array Method

Philip Yuanping Zhou and Mary Ann Ingram

Page 862.

Abstract:

This paper presents a new pattern synthesis algorithm for arbitrary arrays based on adaptive array theory. With this algorithm, the designer can efficiently control both mainlobe shaping and sidelobe levels. The element weights optimize a weighted L2 norm between desired and achieved patterns. The values of the weighting function in the L2 norm, interpreted as imaginary jammers as in Olen and Compton's method, are iterated to minimize exceedance of the desired sidelobe levels and minimize the absolute difference between desired and achieved mainlobe patterns. The sidelobe control can be achieved by iteration only on sidelobe peaks. In comparison to Olen and Compton's method, the new algorithm provides a great improvement in mainlobe shaping control. Example simulations, including both nonuniform linear and planar arrays, are shown to illustrate the effectiveness of this algorithm.

References

  1. C. L. Dolph, "A current distribution for broadside arrays which optimizes the relationship between beam width and sidelobe level," in Proc. IRE, vol. 34, pp. 335-348, June 1946.
  2. R. J. Mailloux, Phased Array Antenna Handbook.Norwood, MA: Artech House, 1994
  3. C.-Y. Tseng and L. J. Griffiths, "A simple algorithm to achieve desired patterns for arbitrary arrays," IEEE Trans. Signal Processing, vol. 40, pp. 2737-2746, Nov. 1992.
  4. C. A. Olen and R. T. Compton Jr., "A numerical pattern synthesis algorithm for arrays," IEEE Trans. Antennas Propagat., vol. 38, pp. 1666-1676, Oct. 1990.
  5. B. P. Ng, M. H. Er, and C. Kot, "A flexible array synthesis method using quadratic programming," IEEE Trans. Antennas Propagat., vol. 41, pp. 1541-1550, Nov. 1993.
  6. J. Perini, "Note on antenna pattern synthesis using numerical iterative methods," IEEE Trans. Antennas Propagat., vol. 19, pp. 284-286, Mar. 1971.
  7. J. C. Sureau and K. J. Keeping, "Sidelobe control in cylindrical arrays," IEEE Trans. Antennas Propagat., vol. AP-30, pp. 1027-1031, Sept. 1982.
  8. L. Wu and A. Zielinski, "An iterative method for array pattern synthesis," IEEE J. Ocean. Eng., vol. 18, pp. 280-286, July 1993.
  9. D. H. Johnson and D. E. Dudgeon, Array Signal Processing: Concepts and Techniques.Englewood Cliffs, NJ: Prentice-Hall, 1993.
  10. R. T. Compton Jr., Adaptive Antennas: Concepts and Performance.Englewood Cliffs, NJ: Prentice-Hall, 1988.
  11. R. A. Monzingo and T. W. Miller, Introduction to Adaptive Arrays.New York: Wiley, 1980.
  12. P. D. Anderson, M. A. Ingram, and P. Zhou, "Array pattern synthesis for satellite communications on-the-move," in Proc. Asilomar Conf. Signals, Syst., Comput., Monterey, CA, Nov. 1996, pp. 50-54.
  13. P. Y. Zhou, M. A. Ingram, and P. D. Anderson, "Synthesis of minimax sidelobes for arbitrary arrays," IEEE Trans. Antennas Propagat., vol. 46, pp. 1759-1760, Nov. 1998.