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Performance Improvement in Amplitude Synthesis of Unequally Spaced Array Using Least Mean Square Method
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Progress In Electromagnetics Research B, Vol. 1, 135-145, 2008
Abstract
In this paper, an efficient method to obtain the elements current distribution for a non uniformly spaced array is presented. For a given far field pattern, after sampling the array factor the proposed method uses the least mean square error technique to solve the system ofequations rather than solving the previously published Legendre function method. It's shown that the average side lob level obtained by this proposed method is some 5 dB lower in comparison with the existing Legendre function method ofsolution. Ifthe Legendre function method published in the literature is to be used to solve for the current distribution, in the final part ofthis paper, a criteria on how to choose suitable vectors that would result in a 3 dB lower side lobe level performance will be provided.
Citation
S. Kazemi, Hamid Reza Hassani, Gholamreza R. Dadashzadeh, and Fatemeh Gharakhili, "Performance Improvement in Amplitude Synthesis of Unequally Spaced Array Using Least Mean Square Method," Progress In Electromagnetics Research B, Vol. 1, 135-145, 2008.
doi:10.2528/PIERB07103002
References

1. Unz, H., "Linear arrays with arbitrarily distributed elements," IEEE Trans. Antennas & Propagat., Vol. 8, 222-223, March 1960.
doi:10.1109/TAP.1960.1144829        Google Scholar

2. Harrington, R. F., "Sidelobe reduction by nonuniform element spacing," IEEE Trans. Antennas Propagat., Vol. 9, 187, March 1961.
doi:10.1109/TAP.1961.1144961        Google Scholar

3. Ishimaru, A., "Theory ofunequally-spaced arrays," IEEE Trans. Antennas & Propagat., Vol. 10, 691-702, Nov. 1962.
doi:10.1109/TAP.1962.1137952        Google Scholar

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

5. Mailloux, R. J. and E. Cohen, "Statistically thinned arrays with quantized element weights," IEEE Trans. Antennas & Propagat., Vol. 39, 436-447, April 1991.
doi:10.1109/8.81455        Google Scholar

6. Haupt, R. L., "Thinned arrays using genetic algorithms," IEEE Trans. Antennas & Propagat., Vol. 42, 993-999, July 1994.
doi:10.1109/8.299602        Google Scholar

7. Mahanti, G. K., N. Pathak, and P. Mahanti, "Synthesis of thinned linear antenna arrays with fixed side lobe level using real-coded genetic algorithm," Progress In Electromagnetics Research, Vol. 75, 319-328, 2007.
doi:10.2528/PIER07061304        Google Scholar

8. Kumar, B. P. and G. R. Branner, "Design ofunequally spaced arrays for performance improvement," IEEE Trans. Antennas & Propagat., Vol. 47, No. 3, March 1999.        Google Scholar

9. Zhou, Y. P. and M. A. Ingram, "Pattern synthesis for arbitrary arrays using an adaptive array method," IEEE Trans. Antennas & Propagat., Vol. 47, No. 5, May 1999.        Google Scholar

10. Olen, C. A. and R. T. Compton Jr., "A numerical pattern synthesis algorithm for arrays," IEEE Trans. Antennas & Propagat., Vol. 38, 1666-1676, Oct. 1990.
doi:10.1109/8.59781        Google Scholar

11. Guney, K. and M. Onay, "Amplitude-only pattern nulling of linear antenna arrays with the use ofBees algorithm," Progress In Electromagnetics Research, Vol. 70, 21-36, 2007.
doi:10.2528/PIER07011204        Google Scholar

12. Mouhamadou, M., P. Vaudon, and M. Rammal, "Smart antenna array patterns synthesis null steering and multi user beam forming by phase control," Progress In Electromagnetics Research, Vol. 60, 95-106, 2006.
doi:10.2528/PIER05112801        Google Scholar