Optimization of Peano-Gosper fractile arrays using genetic algorithms to reduce grating lobes during scanning

Jennifer N. Bogard, Douglas Henry Werner

Research output: Contribution to journalConference articlepeer-review

7 Scopus citations


A new class of modular broadband low-sidelobe arrays has been recently introduced that are based on the theory of fractile (fractal tile) geometry. In this paper, the radiation properties of the Peano-Gosper fractile array are compared to those of the conventional square and hexagonal arrays. It is demonstrated that the Peano-Gosper array has the same desirable grating lobe conditions as the hexagonal array, while achieving a much lower overall sidelobe level. When a Peano-Gosper fractile array with minimum element spacing of one wavelength is scanned, grating lobes occur. It will be shown that a genetic algorithm can perturb the element locations of the Peano-Gosper fractile array in order to reduce side lobe levels to an acceptable level. The genetic algorithm implements the two-point crossover technique along with mutations. The genetically optimized stage 1 Peano-Gosper curve with perturbed element locations can be used to create higher order stage arrays, which allows the highly desirable recursive property to be preserved. The genetically optimized Peano-Gosper fractile array remains relatively broadband.

Original languageEnglish (US)
Article number1435956
Pages (from-to)905-909
Number of pages5
JournalIEEE National Radar Conference - Proceedings
Issue numberJanuary
StatePublished - 2005
Event2005 IEEE International Radar Conference Record, RADAR 2005 - Arlington, United States
Duration: May 9 2005May 12 2005

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering


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