Method for processing an audio signal with modeling of the overall response of the electrodynamic loudspeaker

1. A method for processing a digital audio signal intended to be reproduced by an equipment including an electrodynamic loudspeaker whose overall response as a function of the electrical signal applied to its terminals is defined by a set of electrical, mechanical and acoustical parameters,

the method comprising:

a) the determination of an observation vector comprising only measurements of electrical parameters, with:

a measurement of the voltage (U) at the loudspeaker terminals, and

a measurement of the current (i) through the loudspeaker;

b) the determination of a state vector (X) by application of the voltage and current measurements to a predictive filter estimator incorporating a representation of a dynamic model of the loudspeaker,

 this predictive filter being an extended Kalman filter adapted to:

operate a prediction of the state vector (X), and

readjust this prediction by calculation of an estimate of the voltage (Uest) based on the state vector and on the current measured and comparison of this estimate to the voltage measurement (U mes );

c) the application to the audio signal of a processing that is a function of the state vector (X), characterized in that the components of the state vector comprise:

values of linear parameters of the loudspeaker response comprised in the group: electrical resistance (R e ) and mechanical strength (R eq ), and

polynomial coefficients of nonlinear parameters of the loudspeaker response comprised in the group: force factor (BI 0 , BI 1 , BI 2 ), equivalent stiffness (K eq0 , K eq1 , K eq2 ) and electrical inductance (L e0 , L e1 , L e2 , L e3 , L e4 ); and

d) reproducing the audio signal by the equipment.

2. The method of claim 1 , wherein said processing applied to the audio signal is a processing of compensation for the nonlinearities of the loudspeaker response, as determined based on the state vector delivered by the predictive filter estimator.

3. The method of claim 1 , wherein said processing applied to the audio signal comprises:

c1) the calculation of a current value of excursion (x) of the loudspeaker as a function i) of an amplification gain of the audio signal and ii) of the loudspeaker response as determined based on the state vector delivered by the predictive filter estimator;

c2) the comparison of the thus-calculated current value of excursion with a maximal value of excursion; and

c3) the calculation of a possible attenuation of said amplification gain in the case where the current value of excursion exceeds the maximal value of excursion.

4. The method of claim 1 , wherein the components of the state vector (X) further comprise values of additional acoustical parameters representative of the loudspeaker response associated with a rear cavity provided with a decompression vent.

5. The method of claim 1 , wherein the determination of the state vector of step b) is operated on-the-fly based on the current audio signal object of the processing of step c) and reproduced by the loudspeaker, by collection of the electrical parameters at the loudspeaker terminals during the reproduction of this audio signal.

6. The method of claim 5 , comprising the following steps:

memorizing a sequence of samples of the audio signal for a predetermined duration;

analyzing the sequence for calculating a parameter of energy of the memorized audio signal;

if the calculated parameter of energy is higher than a predetermined threshold, activating the estimation by the predictive filter;

in the opposite case, inhibiting the estimation by the predictive filter and keeping the previously estimated values of the state vector.