TRABAJO MATLAB SERIE FOURIER

ONDA COMPLETA

>> T=100;
t= 0:(3*T)-1;
p=(t/T);
s=20.*cos((2*pi).*p);
s1=15.*cos(3*(2*pi).*p);
s2=11.*cos(5*(2*pi).*p);
s3=9.*cos(7*(2*pi).*p);
s4=7.*cos(9*(2*pi).*p);
s5=1.*cos(11*(2*pi).*p);
salida=s+s1+s2+s3+s4+s5;
plot (salida)

ONDA  "S"

>> T=100;
>> t= 0:(3*T)-1;
>> p=(t/T);
>> s=20.*cos((2*pi).*p);
>> salida=s;
>> plot (salida)

ONDA " S1 "

>> T=100;

>> t= 0:(3*T)-1;

>> p=(t/T);

>> s1=15.*cos(3*(2*pi).*p);

>> salida=s1;

>> plot (salida,'r')

ONDA " S2 "

>> T=100;
>> t= 0:(3*T)-1;
>> p=(t/T);
>> s2=11.*cos(5*(2*pi).*p);
>> salida=s2;
>> plot (salida, 'y')

ONDA " S3 "

>> T=100;

>> t= 0:(3*T)-1;

>> p=(t/T);

>> s3=9.*cos(7*(2*pi).*p);

>> salida=s3;

>> plot (salida, 'm')

ONDA " S4 "

>> T=100;

>> t= 0:(3*T)-1;

>> p=(t/T);

>> s4=7.*cos(9*(2*pi).*p);

>> salida=s4;

>> plot (salida, 'g')

ONDA" S5 "

>> T=100;

>> t= 0:(3*T)-1;

>> p=(t/T);

>> s5=1.*cos(11*(2*pi).*p);

>> salida=s5;

>> plot (salida, 'k')

SUPERPOSICIÓN DE ONDAS

CON "S+S1"

>> T=100;
>> t= 0:(3*T)-1;
>> p=(t/T);
>> s=20.*cos((2*pi).*p);
>> s1=15.*cos(3*(2*pi).*p);
>> salida=s+s1;
>> plot (salida)

CON "S+S1+S2"

>> T=100;
>> t= 0:(3*T)-1;
>> p=(t/T);
>> s=20.*cos((2*pi).*p);
>> s1=15.*cos(3*(2*pi).*p);
>> s2=11.*cos(5*(2*pi).*p);
>> salida=s+s1+s2;
>> plot (salida)

CON "S+S1+S2+S3"

>> T=100;
>> t= 0:(3*T)-1;
>> p=(t/T);
>> s=20.*cos((2*pi).*p);
>> salida=s+s1;
>> s2=11.*cos(5*(2*pi).*p);
>> s3=9.*cos(7*(2*pi).*p);
>> salida=s+s1+s2+s3+s4+s5;
>> salida=s+s1+s2+s3;
>> plot (salida)

CON "S+S1+S2+S3+S4"

>> T=100;

>> t= 0:(3*T)-1;

>> p=(t/T);

>> s=20.*cos((2*pi).*p);

>> s1=15.*cos(3*(2*pi).*p);

>> s2=11.*cos(5*(2*pi).*p);

>> s3=9.*cos(7*(2*pi).*p);

>> s4=7.*cos(9*(2*pi).*p);

>> salida=s+s1+s2+s3+s4;

>> plot (salida)

VARIANDO " T "

>> T=200;

>> t= 0:(3*T)-2;

>> p=(t/T);

>> s=20.*cos((2*pi).*p);

>> s1=15.*cos(3*(2*pi).*p);

>> s2=11.*cos(5*(2*pi).*p);

>> s3=9.*cos(7*(2*pi).*p);

>> s4=7.*cos(9*(2*pi).*p);

>> s5=1.*cos(11*(2*pi).*p);

>> salida=s+s1+s2+s3+s4+s5;

>> plot (salida)

VARIANDO " t "

>> T=100;
>> t= 0:(3*T)-8;
>> p=(t/T);
>> s=20.*cos((2*pi).*p);
>> s1=15.*cos(3*(2*pi).*p);
>> s2=11.*cos(5*(2*pi).*p);
>> s3=9.*cos(7*(2*pi).*p);
>> s4=7.*cos(9*(2*pi).*p);
>> s5=1.*cos(11*(2*pi).*p);
>> salida=s+s1+s2+s3+s4+s5;

>> plot (salida)

VARIANDO " t "

>> T=100;
>> t= 0:(9*T)-8;
>> p=(t/T);
>> s=20.*cos((2*pi).*p);
>> s1=15.*cos(3*(2*pi).*p);
>> s2=11.*cos(5*(2*pi).*p);
>> s3=9.*cos(7*(2*pi).*p);
>> s4=7.*cos(9*(2*pi).*p);
>> s5=1.*cos(11*(2*pi).*p);
>> salida=s+s1+s2+s3+s4+s5;
>> plot (salida)

 ESPECTRO DE LA ONDA

>> T=100;

>> t= 0:(3*T)-1;

>> p=(t/T);

>> s=20.*cos((2*pi).*p);

>> s1=15.*cos(3*(2*pi).*p);

>> s2=11.*cos(5*(2*pi).*p);

>> s3=9.*cos(7*(2*pi).*p);

>> s4=7.*cos(9*(2*pi).*p);

>> s5=1.*cos(11*(2*pi).*p);

>> salida=s+s1+s2+s3+s4+s5;

>> espectro=fft(salida);

>> esp= abs(espectro);

>> plot(p,salida)

>> stem(esp);