I have tried to fit following sinusoidal model by the following model, which means that deterministic model + white noise:
function [x]=generate(N,m,A3)
f1=100;
f2=200;
T=1/f1;
for t=0:N*T/m:N*T
WN(t)=rand(1,t)*2-1;
x(t)=20*sin(2*pi*f1*t)+30*cos(2*pi*f2*t)+A3*WN(t);
end;
But when I run using following command:
generate(100,10,40)
I got following error:
Subscript indices must either be real positive integers or logicals.
Error in generate (line 6)
WN(t)=rand(1,t)*2-1;
So what is wrong? As I know I can use two parameters for rand
function right? What is problem here?
UPDATED: that is what i have done for fixing it
function [ x]=generate(N,m,A3)
WN=[];
f1=100;
f2=200;
T=1/f1;
k=0;
for t=0:N*T/m:N*T
% WN(k)=rand(1,1)*2-1;
% x(k)=20*sin(2*pi*f1*t)+30*cos(2*pi*f2*t)+A3*WN(k);
%k=k+1;
WN=rand*2-1;
disp(20*sin(2*pi*f1*t)+30*cos(2*pi*f2*t)+A3*WN);
end;
and result
generate(1000,10,40)
25.4143
-1.4678
66.9518
-9.6293
51.9928
55.3843
59.4956
-3.2451
21.9826
10.7896
54.0055
I have solved it as follows:
function x = generate(N,m,A3)
f1 = 100;
f2 = 200;
T = 1./f1;
t = (0:(N*T/m):(N*T))';
wn = rand(length(t),1).*2 - 1;
x = 20.*sin(2.*pi.*f1.*t) + 30.*cos(2.*pi.*f2.*t) + A3.*wn;
end