Square array antennas based on Hadamard difference sets

IEEE Transactions on Antennas and Propagation

Volumn 56, Issue 1, 2008, Pages 263-266

  Kopilovich, Lazarus E ^a  

^a INSTITUTE OF HYDROBIOLOGY   (Ukraine)

Author keywords

Aperiodic array antenna (AA); Difference set (DS); Peak sidelobe (PSL) level; Planar array antenna

Indexed keywords

ANTENNA LOBES; DIRECTIONAL PATTERNS (ANTENNA); SET THEORY; TWO DIMENSIONAL; WAVEFORM ANALYSIS;

APERIODIC ARRAY ANTENNA (AA); HADAMARD DIFFERENCE SETS; PEAK SIDELOBE (PSL) LEVEL; PLANAR ARRAY ANTENNA; SQUARE ARRAY ANTENNAS;

ANTENNA ARRAYS;

EID: 39449085243     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAP.2007.913154     Document Type: Article

References (20)

1. D. D. King, R. F. Packard, and R. K. Thomas, "Unequally-spaced broadband antenna arrays," IRE Trans. Antennas Propag., vol. 8, pp. 380-384, Jul. 1960.
2. B. D. Steinberg, Principles of Aperture and Array System Design. New York: Wiley, 1976.
3. D. G. Leeper, "Thinned periodic antenna arrays with improved peak sidelobe level control," U.S. Patent 4071848, Jan. 31, 1978.
4. L. D. Baumert, Cyclic Difference Sets. New York: Springer-Verlag, 1971.
5. L. E. Kopilovich and L. G. Sodin, "Linear non-equidistant antenna arrays based on difference sets," Sov. J. Commun. Technol. Electron. vol. 35, no. 7, pp. 42-49, 1990.
6. L. E. Kopilovich and L. G. Sodin, "Two-dimensional aperiodic antenna arrays with a low sidelobe level," Proc. Inst. Elect. Eng., vol. 138, no. 3, pt. H, pp. 233-237, 1991.
7. R. J. Turyn, "Character sums and difference sets," Pacific J. Math. vol. 15, no. 1, pp. 319-346, 1965.
8. L. E. Kopilovich and L. G. Sodin, Multielement System Design in Astronomy and Radio Science. Dordrecht/Boston/London: Kluwer, 2001.
9. D. G. Leeper, "Isophoric arrays - Massively thinned phased arrays with well-controlled sidelobes," IEEE Trans. Antennas Propag., vol. 47, pp. 1825-1835, Dec. 1999.
10. J. McWilliams and N. A. Sloane, "Pseudorandom sequences and arrays," Proc. IEEE, vol. 64, pp. 1715-1729, Dec. 1976.
11. S. Caorsi, A. Lommi, A. Massa, and M. Pastorino, "Peak sidelobe level reduction with a hybrid approach based on GAs and difference sets," IEEE Trans. Antennas Propag., vol. 52, pp. 1116-1121, Apr. 2004.
12. P. Wild, "Infinite families of perfect binary arrays," Elect. Lett. vol. 24, no. 14, pp. 845-847, 1988.
13. M. Hall, Jr., Combinatorial Theory, 2nd ed. New York: Wiley, 1986.
14. B. L. Vander Waerden, Algebra I. New York: Springer-Verlag, 1971.
15. J. Jedwab and C. Mitchell, "Constructing new perfect binary arrays," Elect. Lett., vol. 24, no. 11, pp. 650-652, 1988.
16. P. K. Menon, "On difference sets whose parameters satisfy a certain relation," Proc. Amer. Math. Soc., vol. 13, no. 5, pp. 739-745, 1962.
17. L. Bonier and M. Antweiler, "Two-dimensional perfect binary arrays with 64 elements," IEEE Trans. Inf. Theory, vol. 36, no. 2, pp. 411-414, 1990.
18. R. E. Wiley, "Space tapering of linear and planar arrays," IRE Trans. Antennas Propag., vol. 10, pp. 369-377, Jul. 1962.
19. L. L. Baselian, G. A. Inutin, and L. G. Sodin, "Antenna arrays with random arrangement of elements," in Antennas (in Russian), A. A. Pistolkors, Ed. Svjaz Moscow:, 1972, p. 17, No. 15.
20. R. L. McFarland, "Family of difference sets in noncyclic groups," J. Combin. Theory, vol. A15, no. 1, pp. 1-10, 1973.