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abs-exp-float-plot2d
plot2d([abs(H8k(f,16000)),abs(H16k(f,16000)),abs(H32k(f,16000)),abs(H48k(f,16000))],[f,0,500]);

H(a1,a2,b0,b1,b2,z):=...

H8k(f,Fs):=H(1.977786...

H16k(f,Fs):=H(1.98889...

Calculate

abs-exp-float-plot2d
plot2d([abs(H8k(f))],[f,0,500]);

H(a1,a2,b0,b1,b2,z):=...

H8k(f):=H(-1.97778648...

H16k(f):=H(-1.9888929...

Calculate

abs-exp-float-plot2d
plot2d(float(abs(Hf(-1.977786483776764,0.978030508491796,0.988954248067140,-1.977908496134280,0.988954248067140,f,8000))),[f,0,1000]);

H(a1,a2,b0,b1,b2,z):=...

Hf(a1,a2,b0,b1,b2,f,F...

plot2d(float(abs(Hf(-...

Calculate

abs-exp-float-plot2d
plot2d([abs(H1(f,8000))],[f,0,500]);

H(a1,a2,b0,b1,b2,z):=...

H1(f,F0):=H(-1.905646...

plot2d([abs(H1(f,8000...

Calculate

abs-exp-float-plot2d-sqrt
plot2d(float(abs(Hf(-1.977786483776764,0.978030508491796,0.988954248067140,-1.977908496134280,0.988954248067140,f,8000))),[f,0,100]);

H(a1,a2,b0,b1,b2,z):=...

Hf(a1,a2,b0,b1,b2,f,F...

plot2d(float(abs(Hf(-...

Calculate

abs-exp-float-plot2d-sqrt
plot2d([abs(H32k(f))], [f,0,500]);

H(a1,a2,b0,b1,b2,z):=...

H32k(f):=H(-1.9944464...

plot2d([abs(H32k(f))]...

Calculate

abs-exp-float-plot2d
plot2d(float(abs(Hf(-1.977786483776764,0.978030508491796,0.988954248067140,-1.977908496134280,0.988954248067140,f,8000))),[f,0,100]);

H(a1,a2,b0,b1,b2,z):=...

Hf(a1,a2,b0,b1,b2,f,F...

plot2d(float(abs(Hf(-...

Calculate

abs-exp-float-plot2d
plot2d(float(abs(Hf(-1.977786483776764,0.978030508491796,0.988954248067140,-1.977908496134280,0.988954248067140,f,8000))),[f,0,100]);

H(a1,a2,b0,b1,b2,z):=...

Hf(a1,a2,b0,b1,b2,f,F...

plot2d(float(abs(Hf(-...

Calculate

abs-exp-float-plot2d
plot2d([abs(H1(f,8000))],[f,0,500]);

H(a1,a2,b0,b1,b2,z):=...

H1(f,F0):=H(-1.905646...

plot2d([abs(H1(f,8000...

Calculate

abs-exp-float-plot2d
plot2d([abs(H1(f,8000))],[f,0,500]);

H(z):=(1-z^(-1))/(1-(...

H1(f,F0):=H(exp(2*%i*...

plot2d([abs(H1(f,8000...

Calculate

[abs,exp,float,plot2d]

Run Example
(%i1)H(a1,a2,b0,b1,b2,z):=(b0+b1*z^(-1)+b2*z^(-2))/(1+a1*z^(-1)+a2*z^(-2));
                                                   - 1       - 2
                                          b0 + b1 z    + b2 z
(%o1)         H(a1, a2, b0, b1, b2, z) := ----------------------
                                                  - 1       - 2
                                          1 + a1 z    + a2 z
(%i2) H1(f,F0):=H(-1.978882,0.979126,0.989502,-1.979004,0.989502,exp(%i*2*%pi*f/F0));
(%o2) H1(f, F0) := H(- 1.978882, 0.979126, 0.989502, - 1.979004, 0.989502, 
                                                                   %i 2 %pi f
                                                               exp(----------))
                                                                       F0
(%i3) plot2d([abs(H1(f,16000)),abs(H1(f,20000))],[f,0,500]);
plotplot2d([abs(H1(f,16000)),abs(H1(f,20000))],[f,0,500]);float(abs(H1(50,16000)));
(%o4)                          0.88245850910269
(%i5) float(abs(H1(50,20000)));
(%o5)                          0.74462866826056
(%i6) 
Run Example
H(a1,a2,b0,b1,b2,z):=(b0+b1*z^(-1)+b2*z^(-2))/(1+a1*z^(-1)+a2*z^(-2));
                                                   - 1       - 2
                                          b0 + b1 z    + b2 z
(%o1)         H(a1, a2, b0, b1, b2, z) := ----------------------
                                                  - 1       - 2
                                          1 + a1 z    + a2 z
(%i2) H1(f,F0):=H(-1.978882,0.979126,0.989502,-1.979004,0.989502,exp(%i*2*%pi*f/F0));
(%o2) H1(f, F0) := H(- 1.978882, 0.979126, 0.989502, - 1.979004, 0.989502, 
                                                                   %i 2 %pi f
                                                               exp(----------))
                                                                       F0
(%i3) plot2d([abs(H1(f,16000)),abs(H1(f,18000))],[f,0,500]);
plotplot2d([abs(H1(f,16000)),abs(H1(f,18000))],[f,0,500]);float(abs(H1(50,16000)));
(%o4)                          0.88245850910269
(%i5) float(abs(H1(50,18000)));
(%o5)                          0.81727609265176
(%i6) 
Run Example
H(a1,a2,b0,b1,b2,z):=(b0+b1*z^(-1)+b2*z^(-2))/(1+a1*z^(-1)+a2*z^(-2));
                                                   - 1       - 2
                                          b0 + b1 z    + b2 z
(%o1)         H(a1, a2, b0, b1, b2, z) := ----------------------
                                                  - 1       - 2
                                          1 + a1 z    + a2 z
(%i2) H1(f,F0):=H(-1.978882,0.979126,0.989502,-1.979004,0.989502,exp(%i*2*%pi*f/F0));
(%o2) H1(f, F0) := H(- 1.978882, 0.979126, 0.989502, - 1.979004, 0.989502, 
                                                                   %i 2 %pi f
                                                               exp(----------))
                                                                       F0
(%i3) plot2d([abs(H1(f,16000)),abs(H1(f,21000))],[f,0,500]);
plotplot2d([abs(H1(f,16000)),abs(H1(f,21000))],[f,0,500]);float(abs(H1(50,16000)));
(%o4)                          0.88245850910269
(%i5) float(abs(H1(50,20500)));
(%o5)                          0.72598875344572
(%i6) float(abs(H1(50,21000)));
(%o6)                           0.7073286650787
(%i7) float(abs(H1(50,21500)));
(%o7)                          0.68872421795428
(%i8) 
[abs,acos,asin,atan2,expand,float,linsolve,matrix,pi,rhs,sqrt,time] [abs,acos,asin,expand,float,linsolve,matrix,pi,rhs,sqrt,time] [abs,cos,plot2d,sin] [abs,define,diff,expand,find_root,float,plot2d,realroots] [abs,define,diff,expand,find_root,float,realroots] [abs,define,diff,find_root,float,pi,plot2d] [abs,define,diff,find_root,float,realroots] [abs,define,diff,float,pi,plot2d] [abs,define,diff,float,pi] [abs,define,find_root,float,realroots] [abs,define,find_root,plot2d] [abs,define,float,matrix,plot2d,ratsimp,transpose] [abs,define,float,plot2d,realroots] [abs,define,float,realroots] [abs,define,float] [abs,define,plot2d,realroots] [abs,define,plot2d] [abs,display2d,factor,false,float,plot2d,sqrt] [abs,ev,eval,plot2d,sin] [abs,exp,float,integrate,pi,sqrt] [abs,exp,float,plot2d] [abs,exp,float] [abs,exp,plot2d] [abs,float,plot2d] [abs,float] [abs,linsolve,log,plot2d,rhs] [abs,log,plot2d] [abs,plot2d,simpsum,sin,sum] [abs,plot2d,sin] [abs,plot2d,sqrt] [abs,plot2d] [allroots,cabs,exp,float,load,plot2d,solve] [cabs,exp,load,plot2d] [cos,define,diff,expand,find_root,float,log,plot2d] [cos,define,diff,find_root,float,plot2d,sqrt] [cos,diff,exp,float,plot2d,sin] [cos,diff,float,ic2,ode2,plot2d,rhs,sqrt] [cos,exp,float,plot2d,sin] [cos,exp,fortran,plot2d,taylor,tex] [cos,exp,plot2d,sin] [cos,exp,plot2d] [define,diff,float,plot2d,realroots] [define,exp,float,imagpart,integrate,plot2d,ratsimp,subst] [define,exp,imagpart,plot2d,quad_qags,realpart] [define,float,pi,plot2d] [define,float,plot2d,realroots] [diff,exp,ic2,ode2,plot2d,rhs] [exp,float,globalsolve,linsolve,plot2d,true] [exp,float,integrate,plot2d] [exp,float,plot2d,sum,true]

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