The theory of fractal antenna arrays
DOI:
https://doi.org/10.1109/ICATT.2003.1239181Keywords:
fractal, antenna array, antenna theory, antenna radiation pattern, low-sidelobe antenna, array signal processing, atomic function, R-functionAbstract
Foundations of measure theory, the Hausdorff-Besicovitch measure, fractal nowhere differentiable Boltzano, Weierstrass, Cantor, Riemann, Darboux, Van-der-Waerden, Koch, Sierpinski, Besicovitch, and Weierstrass-Mandelbrot functions, and also some atomic functions possessing fractal properties are considered. For the first time, the atomic-fractal functions are constructed. The theory proposed and justified is illustrated on problems of synthesis of radiating structures by means of modeling the corresponding physical processes.References
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