Signal processing of laser Doppler self-velocimeter

A frequency spectrum refinement and correction algorithm has been put forward to improve the accuracy of measurements, and the Cramer–Rao lower bound (CRLB) of Gaussian group Doppler signal was given based on the introduction of acceleration. Results of simulations and experiments showed that the Goertzel refinement algorithm could improve the resolution of the spectrum of the Doppler signal; the ratio correction algorithm made the results closer to the real value. The CRLBs of the estimated parameters were related to the sampling data, the signal to noise ratio (SNR) and the broadness of Gaussian group, and it can be decreased by increasing the length of the sampling data or improving the SNR; the gap between the variances of the measuring results and the CRLBs narrowed when the SNR of the signal was improved, and was almost eliminated when the SNR was higher than 6 dB.