Geometric Algebra of Euclidean 3-Space for Electromagnetic Vector-Sensor Array Processing, Part I: Modeling

@article{Jiang2010GeometricAO,
  title={Geometric Algebra of Euclidean 3-Space for Electromagnetic Vector-Sensor Array Processing, Part I: Modeling},
  author={Jing Fei Jiang and Jian Qiu Zhang},
  journal={IEEE Transactions on Antennas and Propagation},
  year={2010},
  volume={58},
  pages={3961-3973}
}
  • Jing Fei Jiang, Jian Qiu Zhang
  • Published 2010
  • Mathematics
  • IEEE Transactions on Antennas and Propagation
  • A new mathematical tool, the geometric algebra of Euclidean 3-space (G3), is introduced for electromagnetic vector-sensor array processing herein. This paper focuses on modeling the six-component outputs of a vector-sensor holistically by an entry called as a multivector in G3. A compact polarized model for the array, termed as a geometric algebra model (G-MODEL), is then presented. Using the G-MODEL, a novel data covariance matrix model is defined by the geometric products in G3 and then… CONTINUE READING

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