### Abstract

A clutter-free velocimetry based on Legendre polynomial series expansion, which can fully utilize the unique low-frequency cut-off characteristic of the polynomial regression filter, is conceived. A set of complex I/Q Doppler signals with a packet size of N is expanded into a series of Legendre polynomials, obtaining expansion coefficients, L(n) (n=0,⋯,N-1). Complex Legendre coefficients, C(±n), are then formed by linearly combining the Legendre coefficients as C(±n) = L(n-1) ± j L(n) for an odd number of n and C(±n) = L(n) ± j L(n-1) for an even number of n. The spectrum of the signed velocity can thereby be obtained from the absolute magnitudes of C(±n). The cut-off characteristic of the polynomial regression filter can be obtained by excluding C(±n) of small numbers of n.

Original language | English |
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Title of host publication | Proceedings - 2004 IEEE Ultrasonics Symposium |

Subtitle of host publication | A Conference of the IEEE International Ultrasonics, Ferroelectrics, and Frequency Control Society, UFFC-S |

Editors | M.P. Yuhas |

Pages | 588-591 |

Number of pages | 4 |

DOIs | |

Publication status | Published - 2004 Dec 1 |

Event | 2004 IEEE Ultrasonics Symposium - Montreal, Que., Canada Duration: 2004 Aug 23 → 2004 Aug 27 |

### Publication series

Name | Proceedings - IEEE Ultrasonics Symposium |
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Volume | 1 |

ISSN (Print) | 1051-0117 |

### Other

Other | 2004 IEEE Ultrasonics Symposium |
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Country | Canada |

City | Montreal, Que. |

Period | 04/8/23 → 04/8/27 |

### ASJC Scopus subject areas

- Acoustics and Ultrasonics

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## Cite this

*Proceedings - 2004 IEEE Ultrasonics Symposium: A Conference of the IEEE International Ultrasonics, Ferroelectrics, and Frequency Control Society, UFFC-S*(pp. 588-591). [U1-F-3] (Proceedings - IEEE Ultrasonics Symposium; Vol. 1). https://doi.org/10.1109/ULTSYM.2004.1417794