Plotting Input Signal for Transfer Function

I have the following for a transfer function and also the following input signals represented as fourier series.

%%Transfer Fuction

f = 5000;                       %filtering frequency
w = 2*pi*f;                     %angular frequency
n = -50:50;
s = 1i*w.*n;                    %apparently it's easier to work with s than jw
R = 100;                        %Resistor Value
C = 1./(2.*pi.*f.*R);           %Capacitor Value
o = .95;                        %Sigma Value
H = ((R.^2).*(C.^2).*(s.^2)+ 1) ./ (((R.^2)*(C.^2).*(s.^2)) + (4.*R.*C.*s.*(1-o)) + 1);
                                %Transfer Function
tcos1 = linspace(-.5,.5,1000);          %Timespace for fs1
tcos2 = linspace(-.07,.07,1000);        %Timespace for fs2
tcos3 = linspace(-.005,.005,1000);      %Timespace for fs3
tcos5 = linspace(-.00005,.00005,1000);  %Timespace for fs5
tcos6 = linspace(-.000005,.000005,1000);%Timespace for fs6
fs1 = exp(1i.*10.*pi.*tcos1);           %5Hz
fs2 = exp(1i.*100.*pi.*tcos2);          %50hz
fs3 = exp(1i.*1000.*pi.*tcos3);         %500hz
fs4 = exp(1i.*10000.*pi.*tcos1);        %5khz
fs5 = exp(1i.*100000.*pi.*tcos5);       %50khz
fs6 = exp(1i.*1000000.*pi.*tcos6);      %500khz
fs7 = exp(1i.*10000000.*pi.*tcos1);     %5Mhz

What im trying to figure out is how to input the signal into the transfer function and graph it output with repsect to the timespace its given.

i was trying to use

lsim(H,fs1,tcos1);

for example but it dosent work,

ill really appreciate if someone could show me how to make this work or a method to plot the output for the one of the function so i can repeat the process with the rest of them. any help will be appreciated thanks!

Answer 1

[Azzi Abdelmalek]

H should be a transfer function. In your case, H is a vector of complex numbers.