volume | PIER Journals

2009-04-29

A Synthesis of Unequally Spaced Antenna Arrays Using Legendre Functions

Jorge Sanchez,

Dr. Jorge Sanchez

CICESE Research Center Km

Mexico

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David H. Covarrubias-Rosales,

Dr. David H. Covarrubias-Rosales

Electronics and telecommunications

CICESE Research Center

Mexico

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Marco A. Panduro

Dr. Marco A. Panduro

Electronics and Telecommunications

CICESE Research Center

Mexico

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Progress In Electromagnetics Research M, Vol. 7, 57-69, 2009

doi:10.2528/PIERM09032305 | Google Scholar

Abstract

In the wireless communication systems, the objective of using array antennas is to extract the desired signal while filtering out the unwanted interferences. New methods are developed for the optimization and synthesis, in terms of the directivity and the side lobe level. For the optimization of the array pattern, it is proposed to adjust both the excitation and the spacing of the antenna elements. The determination of the optimal excitation and spacing is shown to be a polynomial problem; this is described in terms of a unified mathematical approach to nonlinear optimization of multidimensional array geometries. The approach utilizes a class of limiting properties of Legendre functions that are dictated by the array geometry addressed. The objective of this paper is to describe a unified mathematical approach to nonlinear optimization of multidimensional array geometries.

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Jorge Sanchez, David H. Covarrubias-Rosales, and Marco A. Panduro, "A Synthesis of Unequally Spaced Antenna Arrays Using Legendre Functions," Progress In Electromagnetics Research M, Vol. 7, 57-69, 2009.
doi:10.2528/PIERM09032305

References

1. Balanis, C. A., Antenna Theory Analysis and Design, John Wiley & Sons, 2005.

2. Milligan, T. A., Modern Antenna Design, John Wiley & Sons, 2005.
doi:10.1002/0471720615

3. Unz, H., "Linear arrays with arbitrary distributed elements," IEEE Trans. Antennas Propag., Vol. 8, No. 2, 222-223, Mar. 1960.
doi:10.1109/TAP.1960.1144829 Google Scholar

4. Skolnik, M. I., G. Nemhauser, and J. W. Sherman, "Dynamic programming applied to unequally spaced arrays," IIEEE Trans. Antennas Propag., Vol. 12, 35-43, Jan. 1964.
doi:10.1109/TAP.1964.1138163 Google Scholar

5. Panduro, M. A., D. H. Covarrubias, C. A. Brizuela, and F. R. Marante, "A multi-objective approach in the linear antenna array design," Int. J. Electron. Commun (AEU), Vol. 59, 205-212, Jun. 2005. Google Scholar

6. Rocha, C., D. H. Covarrubias, C. A. Brizuela, and M. A. Panduro, "Differential evolution algorithm applied to sidelobe level reduction on a planar array," Int. J. Electron. Commun (AEU), Vol. 61, 286-290, 2006. Google Scholar

7. Kumar, B. P. and G. R. Branner, "Design of unequally spaced arrays for performance improvement," IEEE Trans. Antennas Propag., Vol. 47, No. 3, 511-523, Mar. 1999.
doi:10.1109/8.768787 Google Scholar

8. Kumar, B. P. and G. R. Branner, "Generalized analytical technique for the synthesis of unequally spaced arrays with linear planar, cylindrical or spherical geometry," IEEE Trans. Antennas Propag., Vol. 53, No. 2, 621-634, Feb. 2005.
doi:10.1109/TAP.2004.841324 Google Scholar

9. Mangulis, V., Handbook of Series for Scientists and Engineers, Vol. Part. III, 129, Academic, 1965.