Title :
Damped and delayed sinusoidal model for transient signals
Author :
Boyer, Rémy ; Abed-Meraim, Karim
Author_Institution :
Univ. of Paris XI-Orsay, Gif-sur-Yvette, France
fDate :
5/1/2005 12:00:00 AM
Abstract :
In this work, we present the Damped and Delayed Sinusoidal (DDS) model: a generalization of the sinusoidal model. This model takes into account an angular frequency, a damping factor, a phase, an amplitude, and a time-delay parameter for each component. Two algorithms are introduced for the DDS parameter estimation using a subband processing approach. Finally, we derive the Crame´r-Rao Bound (CRB) expression for the DDS model and a simulation-based performance analysis in the context of a noisy fast time-varying synthetic signal and in the audio transient signal modeling context.
Keywords :
AWGN; audio signal processing; parameter estimation; Cramer-Rao bound expression; angular frequency; audio transient signal modeling context; delayed sinusoidal model; noisy fast time-varying synthetic signal; parameter estimation; subband processing approach; time-delay parameter; Analytical models; Context modeling; Damping; Delay; Frequency; Parameter estimation; Parametric statistics; Performance analysis; Signal processing algorithms; Transient analysis; CramÉr–Rao Bound; Fourier analysis; damped and delayed sinusoids; deflation; subband parameter estimation; transient signal;
Journal_Title :
Signal Processing, IEEE Transactions on
DOI :
10.1109/TSP.2005.845473