Clutter-free doppler detection of signed velocity based on legendre seires expansion

Shinichiro Umemura, Takashi Azuma, Tetsuya Hayashi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)


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 languageEnglish
Title of host publicationProceedings - 2004 IEEE Ultrasonics Symposium
Subtitle of host publicationA Conference of the IEEE International Ultrasonics, Ferroelectrics, and Frequency Control Society, UFFC-S
EditorsM.P. Yuhas
Number of pages4
Publication statusPublished - 2004 Dec 1
Event2004 IEEE Ultrasonics Symposium - Montreal, Que., Canada
Duration: 2004 Aug 232004 Aug 27

Publication series

NameProceedings - IEEE Ultrasonics Symposium
ISSN (Print)1051-0117


Other2004 IEEE Ultrasonics Symposium
CityMontreal, Que.

ASJC Scopus subject areas

  • Acoustics and Ultrasonics


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