Analysis of the MUSIC estimator for the detection of frequencies in sinusoidal signals
J Gerbaux, Nicolas Petit · HAL (Le Centre pour la Communication Scientifique Directe) · 2021
The paper considers the application of the subspace method MUSIC to the estimation of rolling, nutation and precession frequencies of a high velocity spinning artillery shell. The influence of the various parameters such as signal-to-noise ratio and slow drift of frequencies is studied. The formula giving the variance of the estimation is detailed at the light of the specificities of the application, and a novel result is established stating that when the soughtafter frequency is varying in a time-affine manner over the considered data window, the MUSIC estimate recovers the average value of the frequency. A typical case-study serves as illustration, assessing that, at the expense of a increase of the computational load, MUSIC can recover the nutation frequency of the shell with a standard deviation below 1 rad/s.