## Abstract

This paper presents method that offers the fast and accurate analysis of large-scale periodic array antennas by conjugate-gradient fast Fourier transform (CG-FFT) combined with an equivalent sub-array preconditioner. Method of moments (MoM) is used to discretize the electric field integral equation (EFIE) and form the impedance matrix equation. By properly dividing a large array into equivalent sub-blocks level by level, the impedance matrix becomes a structure of Three-level Block Toeplitz Matrices. The Three-level Block Toeplitz Matrices are further transformed to Circulant Matrix, whose multiplication with a vector can be rapidly implemented by one-dimension (1-D) fast Fourier transform (FFT). Thus, the conjugate-gradient fast Fourier transform (CG-FFT) is successfully applied to the analysis of a large-scale periodic dipole array by speeding up the matrix-vector multiplication in the iterative solver. Furthermore, an equivalent sub-array preconditioner is proposed to combine with the CG-FFT analysis to reduce iterative steps and the whole CPU-time of the iteration. Some numerical results are given to illustrate the high efficiency and accuracy of the present method.

Original language | English |
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Pages (from-to) | 922-928 |

Number of pages | 7 |

Journal | IEICE Transactions on Communications |

Volume | E89-B |

Issue number | 3 |

DOIs | |

Publication status | Published - 2006 |

## Keywords

- Block Toeplitz matrices
- Conjugate-gradient fast Fourier transform (CG-FFT)
- Large-scale periodic phased arrays
- Method of moments (MoM)
- Preconditioner of iterative method

## ASJC Scopus subject areas

- Software
- Computer Networks and Communications
- Electrical and Electronic Engineering