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The Peano-Gosper fractal array
- Source :
- IEEE Transactions on Antennas and Propagation. August, 2003, Vol. 51 Issue 8, p2063, 10 p.
- Publication Year :
- 2003
-
Abstract
- This paper investigates the radiation characteristics of a new type of array that is based on the family of space-filling and self-avoiding fractals known as Peano-Gosper curves. The elements of the fractal array are uniformly distributed along a Peano-Gosper curve, which leads to a planar array configuration with parallelogram cells that is bounded by a closed Koch curve. These unique properties are exploited in order to develop a design methodology for deterministic arrays that have no grating lobes even when the minimum spacing between elements is increased to at least one wavelength. This leads to a class of arrays that are relatively broad-band when compared to more conventional periodic planar arrays with square or rectangular cells and regular boundary contours. An efficient iterative procedure for calculating the radiation patterns of these Peano-Gosper fractal arrays to arbitrary stage of growth P is also introduced in this paper. Index Terms--Array signal processing, broad-band arrays, fractal arrays, grating lobes, Peano-Gosper curve, thinned arrays.
Details
- Language :
- English
- ISSN :
- 0018926X
- Volume :
- 51
- Issue :
- 8
- Database :
- Gale General OneFile
- Journal :
- IEEE Transactions on Antennas and Propagation
- Publication Type :
- Academic Journal
- Accession number :
- edsgcl.107897544