## Abstract

The paper shows how to simplify the discussion of the trivial ambiguity (a. k. a. rank-1 ambiguity) problem associated with the polarization-angular coherence structure (PACS) of a tripole antenna by defining a new coordinate system where the two signals of concern both lie in the same coordinate plane, along with a theoretical demonstration indicating that the involved coordinate rotation has no effect on the study of the problem under consideration. The identified situations suffer from the trivial ambiguity are found to be well coincident with that of the performance degradation formerly observed for an adaptive tripole antenna based on the least-mean-square (LMS) criterion. Some representative examples are also given to validate the given analyses.

Original language | English |
---|---|

Pages (from-to) | 986-989+1015 |

Journal | Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology |

Volume | 24 |

Issue number | 11 |

Publication status | Published - Nov 2004 |

## Keywords

- Polarization
- Rank-1 (trivial) ambiguity
- Tripole antenna