Dolph–Chebyshev (DCA) Chebyshev≡Tschebyscheff Dolph proposed (in 1946) a method to design arrays with any desired side-lobe levels and any HPBWs. This method is based on the approximation of the pattern of the array by a Chebyshev polynomial of order m, high enough to meet the requirement for the side-lobe levels.
Abstract
We present a synthesis technique for circular arrays of antennas that allows to determine an array pattern having side lobes of assigned level and one main beam whose width does not exceed a prescribed threshold. The method develops in two steps. At first it generates, by means of a suitable Chebyshev polynomial, a reference pattern satisfying the conditions imposed by the synthesis problem. Subsequently, it determines the solution as the array pattern minimizing the mean-square distance from the reference pattern. Numerical examples show the effectiveness of the method.
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References
- [1]N. Goto and Y. Tsunoda, 'Sidelobe Reduction of Circular Arrays with a Constant Excitation Amplitude', IEEE Trans. Antennas Propagat., vol. AP-25,no. 6, pp. 896–898, Nov. 1977.
- [2]F. Watanabe, N. Goto, A. Nagayama, and G. Yoshida, 'A Pattern Synthesis of Circular Arrays by Phase Adjustment,' IEEE Trans. Antennas Propagat., vol. AP-28,no. 6, pp. 896–898, Nov. 1980.
- [3]S. Prasad and R. Charan, 'On the Constrained Synthesis of Array Patterns With Applications to Circular and Arc Arrays,' IEEE Trans. Antennas Propagat., vol. AP-32,no. 6, pp. 725–730, July 1984.
- [4]C. L. Dolph, 'A current Distribution for Broadside Arrays Which Optimizes the Relationship Between Beamwidth and Side-Lobe Level,' Proc. IRE and Waves and Electrons, June 1946.
- [5]R. S. Elliott, Antenna theory and design. Englewood Cliffs, N. J.: Prentice-Hall, 1981, Ch. II.
- [6]R. Vescovo, 'Constrained and Unconstrained Synthesis of Array Factor for Circular Arrays,' IEEE Trans. Antennas Propagat., vol. AP-43,no. 12, pp. 1405–1410, Dec. 1995.
- [7]T. Rahim and D.E.N. Davies, 'Effect of directional eleménts on the directional response of circular antenna arrays,' IEE Proc. H, vol. 129,no. 1, pp. 18–22, 1982.
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Vescovo, R. An Extension of the Dolph-Chebyshev Synthesis Technique to Circular Arrays of Antennas. International Journal of Infrared and Millimeter Waves20, 1957–1976 (1999) doi:10.1023/A:1022941416515
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- Synthesis
- Circular arrays
- Chebyshev polynomials