how to add pink noise to force

this is the function for the oscillator with the additional force of white noise (awgn). and can I somehow add pink noise to the force? instead of awgn

function dy=x(t,y) global w0 alfa f gama teta b %k1 = wgn(1000,1,100); dy=zeros(2,1);

dy(1)=y(2); %dy(2)=-teta*y(2)+w0^2*(1-alfa*y(1)^2)*y(1)+f*cos(gama*t); %dy(2)=-teta*y(2)+w0*y(1)-alfa*y(1)^3+f*cos(gama*t)+wgn(1000,1,0);

dy(2)=-teta*y(2)+w0^2*(1-alfa*y(1)^2)*y(1)+f*cos(gama*t)+b*awgn(dy(2),0.01);

[Star Strider]

What spectral dharacteristics define ‘pink noise’ in your application?

[lasha dalaqishvili]

I don't have one in this function, I coudn't add it. pink noise (flicker noise) there is a program in mathlab. This is pink noise generator https://www.mathworks.com/matlabcentral/fileexchange/42919-pink--red--blue-and-violet-noise-generation-with-matlab-implementation?focused=6636118&tab=function

[lasha dalaqishvili]

function y = pinknoise(N)

% function: y = pinknoise(N) % N - number of samples to be returned in a row vector % y - a row vector of pink (flicker) noise samples

% The function generates a sequence of pink (flicker) noise samples. % In terms of power at a constant bandwidth, pink noise falls off at 3 dB/oct, i.e. 10 dB/dec.

% difine the length of the vector and % ensure that the M is even, this will simplify the processing if rem(N, 2) M = N+1; else M = N; end

Answer 1

[Hristo Zhivomirov]

Hi Lasha!

Please, see my code Pink, Red, Blue and Violet Noise Generation with Matlab on Matlab File Exchange. You can use example2.m in order to add some pink noise to your initial signal.

All best,

Hristo Zhivomirow