MATLAB: How to generate three independent sinusoidal signal in matlab

independent signal

Guys,

does anyone know how to generate three independent signal in MatLab. If it's sinusoidal, would be great.

Thanks,

Best Answer

sin waves with different frequencies :

 Fs=20;
 f1=2;
 f2=4;
 f3=9;
 t=0:1/Fs:10-1/Fs;
 y1=sin(2*pi*f1*t);
 y2=sin(2*pi*f2*t);
 y3=sin(2*pi*f3*t);

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MATLAB: Creating a matrix of sinusoids with frequency increasing over columns and time increasing over rows

minT=0;
maxT=1;
dT=0.01;
minF=1;
maxF=4;
dF=1;
[Time,frequency]=ndgrid( minT:dT:maxT , minF:dF:maxF );
y=sin(2*pi*frequency.*Time);
plot(Time,y);axis tight

MATLAB: Failure in initial user-supplied objective function evaluation. FSOLVE cannot continue

Hi,

this runs - not sure if it is really efficient, but it works:

x0=[1,1,1,1,1];
fsolve(@F,x0)
function m=F(x)
syms  y1 y2 y3 y4 z1 k11 k12 k13 k14 l11 
h=1/1000;
f1(y1,y2,y3,y4,z1)=(-(z1^3)/(y3^2))*(3*(y2-y1+y3^(-1)-z1/10)^2+(1/5)*(y2-y1+y3^(-1)-(z1)/10))-y4;
f2(y1,y2,y3,y4,z1)=1/10*z1-y4;
f3(y1,y2,y3,y4,z1)=(z1^3)*(3*(y2-y1+y3^(-1)-z1/10)^2+(1/5)*(y2-y1+y3^(-1)-(z1)/10));
f4(y1,y2,y3,y4,z1)=y1-y3^(-1);
g(y1,y2,y3,y4,z1)=(y1-y3^(-1))^2+y4^2-1/10*z1;
J1(y1,y2,y3,y4,z1)=jacobian([f1,f2,f3,f4],[y1,y2,y3,y4]);
J1=double(J1(2,2,1,0,10));
J2(y1,y2,y3,y4,z1)=jacobian([f1,f2,f3,f4],z1);
J2=double(J2(2,2,1,0,10));
J3(y1,y2,y3,y4,z1)=jacobian(g,[y1,y2,y3,y4]);
J3=double(J3(2,2,1,0,10));
J4(y1,y2,y3,y4,z1)=jacobian(g,z1);
J4=double(J4(2,2,1,0,10));
k11=x(1);
k12=x(2);
k13=x(3);
k14=x(4);
l11=x(5);
k1=[k11;k12;k13;k14];
m(1)=double(h*(f1(2,2,1,0,10)+0.44*(J1(1,:)*k1 +J2(1,:)*l11))-k11);
m(2)=double(h*(f2(2,2,1,0,10)+0.44*(J1(2,:)*k1 +J2(2,:)*l11))-k12);
m(3)=double(h*(f3(2,2,1,0,10)+0.44*(J1(3,:)*k1 +J2(3,:)*l11))-k13);
m(4)=double(h*(f4(2,2,1,0,10)+0.44*(J1(4,:)*k1 +J2(4,:)*l11))-k14);
m(5)=double(g(2,2,1,0,10)+0.44*(J3*k1 +J4(1,:)*l11));
end

Best regards

Stephan

Best Answer

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MATLAB: Creating a matrix of sinusoids with frequency increasing over columns and time increasing over rows

MATLAB: Failure in initial user-supplied objective function evaluation. FSOLVE cannot continue

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