Frequency slope estimation and its application for non-stationary sinusoidal parameter estimation

Axel Roebel (1)

1 Analyse et synthèse sonores [Paris]

In the following paper we investigate into the estimation of sinusoidal parameters for sinusoids with linear AM/FM modulation. It will be shown that for linear amplitude and frequency modulation only the frequency modulation creates additional estimation bias for the standard sinusoidal parameter estimator. Then an enhanced algorithm for frequency domain demodulation of spectral peaks is proposed that can be used to obtain an approximate maximum likelihood estimate of the frequency slope, and an estimate of the amplitude, phase and frequency parameter with significantly reduced bias. An experimental evaluation compares the new estimation scheme with previously existing methods. It shows that significant bias reduction is achieved for a large range of slopes and zero padding factors. A real world example demonstrates that the enhanced bias algorithm reduction can achieve a reduction of the residual energy of up to 9dB.

Mots clés: frequency modulation; sinusoidal model; parameter estimation; nonstationary sinusoids; frequency domain demodulation; amplitude modulation

Mots clés: Informatique musicale

Domaines: Acoustique [physics.class-ph]; Traitement du signal et de l'image [eess.SP]; Neurosciences

Axel Roebel. Frequency slope estimation and its application for non-stationary sinusoidal parameter estimation. Digital Audio Effects (DAFx), Sep 2007, Bordeaux, France. pp.77-84. ⟨hal-01161380⟩