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International Journal of Antennas and Propagation
Volume 2012, Article ID 329648, 7 pages
Research Article

Fractal-Based Thinned Planar-Array Design Utilizing Iterative FFT Technique

1School of Electronic Engineering, Xidian University, Shaanxi, Xi'an 710071, China
2State Key Laboratory of Integrated Services Networks, Xidian University, Shaanxi, Xi'an 710071, China

Received 18 March 2012; Revised 10 July 2012; Accepted 24 July 2012

Academic Editor: Stefano Selleri

Copyright © 2012 Wentao Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper investigated the synthesis problem of fractal-based thinned planar arrays by using the iterative Fourier technique (IFT). Since an inverse discrete Fourier transform relationship exists between the array factor and the element excitations for a periodic array antenna, an iterative Fourier technique is introduced to derive the array element excitation from the prescribed array factor based on this peculiar property. However, considering the IFT technique is sensitive to the initial values, the fractal-thinned array technique is employed and combined in the synthesis process to exploit the advantages of these two techniques. Moreover, the DRR of the excitation amplitude is controlled to achieve a reduction of the cost of the feeding network. Numerical examples have been carried out to validate the proposed approach.