*ìDigital
synthesis models of clarinet-like instruments including nonlinear losses in the
resonatorî*

International Conference on
Digital Audio Effects

Montreal, Canada, September 18-20, 2006

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 Ýallows to calcul the external pressure by using each methods.

… __External pressure computed by the time derivative of the output flow
u_{s}(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 Ýg=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 Ýg=0.42
to g=0.95: here

… __External pressure computed by the time derivative of the sum of the input
flow and pressure p_{e}(t) + u_{e}(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 Ýg=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 Ýg=0.42
to g=0.95: here