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Shaped beam synthesis of phased arrays using the cross entropy method

Authors

  • Mark H. Weatherspoon,

    Corresponding author
    1. Department of Electrical and Computer Engineering, Florida A & M University-Florida State University College of Engineering, Tallahassee, FL, USA
    • Correspondence to: Mark H. Weatherspoon, Department of Electrical and Computer Engineering, Florida A & M University-Florida State University College of Engineering, Tallahassee, FL 32310-6046 USA.

      E-mail: mark.weatherspoon@ieee.org

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  • Jeffrey D. Connor,

    1. Department of Electrical and Computer Engineering, Florida A & M University-Florida State University College of Engineering, Tallahassee, FL, USA
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  • Simon Y. Foo

    1. Department of Electrical and Computer Engineering, Florida A & M University-Florida State University College of Engineering, Tallahassee, FL, USA
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Abstract

This paper describes the shaped-beam synthesis of phased arrays using the cross entropy (CE) method. The CE method is a general stochastic optimization technique based on minimizing the CE (or Kullback–Leibler divergence) between sets of probability distributions to solve complex multi-extremal, multi-objective optimization problems. In this work, the CE method will be utilized to choose the complex weights of array element excitations to control the shape of far-field radiation pattern side lobe power, main lobe beamwidth, and introduce side lobe notches using amplitude-only and complex weight synthesis. Compared with similar stochastic techniques previously used to solve this problem, such as the genetic algorithm and particle swarm optimization, the CE method is a competitive alternative, possessing attractive convergence properties. Copyright © 2013 John Wiley & Sons, Ltd.

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