TY - GEN
T1 - Maximum Likelihood Estimator, FFT Estimator and Cramér-Rao bounds of the laser Doppler frequency
T2 - 2015 IEEE International Instrumentation and Measurement Technology Conference, I2MTC 2015
AU - Zhang, Lu
AU - Kulon, Janusz
AU - Yan, Yong
N1 - Publisher Copyright:
© 2015 IEEE.
PY - 2015/7/6
Y1 - 2015/7/6
N2 - This paper addresses the problem of estimating the Doppler frequency in Laser Doppler Velocimetry (LDV) systems by taking into account the effect of the particle trajectory via the measurement volume. The dependency of the burst length on the Cramér-Rao lower bound (CRLB) and the Doppler frequency estimation is investigated by employing the 2D model of the Doppler Burst Signal with the Gaussian envelope. The Maximum Likelihood Estimator (MLE) equations are solved for estimates of the Doppler frequency for LDV systems operating in one particle scattering mode. The numerical examples show the performance of the MLE and FFT with various parameter configurations compared with the derived CRLB. The numerical results confirm the validity of the analysis in terms of the relative effect of the particle trajectory, relative measurement time, size of the volume and signal-to-noise ratio on the accuracy of the estimation.
AB - This paper addresses the problem of estimating the Doppler frequency in Laser Doppler Velocimetry (LDV) systems by taking into account the effect of the particle trajectory via the measurement volume. The dependency of the burst length on the Cramér-Rao lower bound (CRLB) and the Doppler frequency estimation is investigated by employing the 2D model of the Doppler Burst Signal with the Gaussian envelope. The Maximum Likelihood Estimator (MLE) equations are solved for estimates of the Doppler frequency for LDV systems operating in one particle scattering mode. The numerical examples show the performance of the MLE and FFT with various parameter configurations compared with the derived CRLB. The numerical results confirm the validity of the analysis in terms of the relative effect of the particle trajectory, relative measurement time, size of the volume and signal-to-noise ratio on the accuracy of the estimation.
KW - Cramér-rao bound
KW - Fast fourier transform
KW - Frequency estimation
KW - Laser doppler velocimetry
KW - Maximum likelihood estimation
UR - https://www.scopus.com/pages/publications/84938848444
U2 - 10.1109/I2MTC.2015.7151443
DO - 10.1109/I2MTC.2015.7151443
M3 - 会议稿件
AN - SCOPUS:84938848444
T3 - Conference Record - IEEE Instrumentation and Measurement Technology Conference
SP - 1198
EP - 1203
BT - 2015 IEEE International Instrumentation and Measurement Technology Conference - The "Measurable" of Tomorrow
PB - Institute of Electrical and Electronics Engineers Inc.
Y2 - 11 May 2015 through 14 May 2015
ER -