Spectral analysis for nonstationary audio

Adrien Meynard (1) , Bruno Torresani (1)

1 I2M - Institut de Mathématiques de Marseille

A new approach for the analysis of nonstationary signals is proposed, with a focus on audio applications. Following earlier contributions, nonstationarity is modeled via stationarity-breaking operators acting on Gaussian stationary random signals. The focus is here on time warping and amplitude modulation, and an approximate maximum-likelihood approach based on suitable approximations in the wavelet transform domain is developed. This paper provides theoretical analysis of the approximations, and describes and analyzes a corresponding estimation algorithm. The latter is tested and validated on synthetic as well as real audio signal.

Mots clés: time warping; deformation; local spectrum; Doppler effect; Non-stationary signals; wavelet analysis

Domaines: Traitement du signal et de l'image [eess.SP]; Statistiques [math.ST]

Adrien Meynard, Bruno Torresani. Spectral analysis for nonstationary audio. 2017. ⟨hal-01670187v1⟩