TY - GEN

T1 - Clutter-free doppler detection of signed velocity based on legendre seires expansion

AU - Umemura, Shinichiro

AU - Azuma, Takashi

AU - Hayashi, Tetsuya

PY - 2004/12/1

Y1 - 2004/12/1

N2 - 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.

AB - 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.

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U2 - 10.1109/ULTSYM.2004.1417794

DO - 10.1109/ULTSYM.2004.1417794

M3 - Conference contribution

AN - SCOPUS:21644446231

SN - 0780384121

T3 - Proceedings - IEEE Ultrasonics Symposium

SP - 588

EP - 591

BT - Proceedings - 2004 IEEE Ultrasonics Symposium

A2 - Yuhas, M.P.

T2 - 2004 IEEE Ultrasonics Symposium

Y2 - 23 August 2004 through 27 August 2004

ER -