žDigital synthesis models of clarinet-like instruments including nonlinear losses in the resonatorÓ

 

Philippe Guillemain, Jonathan Terroir

 

International Conference on Digital Audio Effects
Montreal, Canada, September 18-20, 2006

 

 

 

Sound examples

 

 

 

Two computation methods were used in order to obtain the following external pressure signals depending on the variables used in the algorithms. When the output flow is available the external pressure is deduced from it. When it is not available it is deduced from the input variables. The accurate nonlinear model allows to calcul the external pressure by using each methods.

 

 

Ö External pressure computed by the time derivative of the output flow us(t) :

 

A.   Linear case (not including the nonlinear losses) :

a.    external pressure signal for g=0.42 : here

b.   external pressure signal for g=0.56 : here

c.    external pressure signal by making a crescendo from g=0.42 to g=0.95: here

 

B.    Including the accurate nonlinear model :

a.    external pressure signal for g=0.42 : here

b.   external pressure signal for g=0.56 : here

c.    external pressure signal by making a crescendo from g=0.42 to g=0.95: here

 

 

 

Ö External pressure computed by the time derivative of the sum of the input flow and pressure pe(t) + ue(t) :

 

C.    Including the accurate nonlinear model :

a.    external pressure signal for g=0.42 : here

b.   external pressure signal for g=0.56 : here

c.    external pressure signal by making a crescendo from g=0.42 to g=0.95: here

 

D.   Including the approximated nonlinear model :

a.    external pressure signal for g=0.42 : here

b.   external pressure signal for g=0.56 : here

c.    external pressure signal by making a crescendo from g=0.42 to g=0.95: here