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Rapport (Rapport De Recherche) Année : 2021

Analysis of the MUSIC estimator for the detection of frequencies in sinusoidal signals

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Résumé

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.
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Dates et versions

hal-03216632 , version 1 (04-05-2021)

Identifiants

  • HAL Id : hal-03216632 , version 1

Citer

J Gerbaux, Nicolas Petit. Analysis of the MUSIC estimator for the detection of frequencies in sinusoidal signals. [Research Report] Mines ParisTech - Ecole des mines de Paris. 2021. ⟨hal-03216632⟩
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