How to calculate time delay coordinates？

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ryunosuke tazawa 2022-2-24

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1657345-how-to-calculate-time-delay-coordinates

trajectory.mat

在 MATLAB Online 中打开

i want to know the way to calculate the time delay coordinates.

I made it .

But, if the number of dimensions to be embedded increases, the calculation becomes impossible. The size of the array will change.

If the variable 'embed_dime' is increased, it cannot be calculated. Some data in the delayed coordinate system will be erased without permission. How should I fix it? Also, is it correct as a calculation of time-lag coordinates?

clear all;
close all;
%% loar trajectory data from mat.file
load('trajectory.mat')
X = [x1;x2]; % 968×1
Y = [y1;y2];
%% parameter 
embed_dime = 15;   % embed dimention 
delta = 0.2;       % time delay
Deley_X = get_delay_vector(X,embed_dime,delta);
Deley_Y = get_delay_vector(Y,embed_dime,delta);
%% caluculate time delay coodinates
for i=1:embed_dime
   
    X_D = X + Deley_X;
    Y_D = Y + Deley_Y;
    
       
end
Arrays have incompatible sizes for this operation.
function Y=get_delay_vector(data,embed_dimen,delta)
         
         data_size=size(data);          % data size
         
         %% transform to row vector
         if data_size(1)<data_size(2)
             data=data';
         end
          
         data_size=size(data);
         Z=zeros(data_size(1),embed_dimen-1); % make 0 vector size = data × 1
         
         %% data shift
         for i=1:embed_dimen-1      
             %Z(:,i)=circshift(data,[(i-1)*delta,0]);    
              Z(:,i) = i*delta;
         end
         
         
         %% calculate time delay matrix
         Y=Z(delta*embed_dimen-1:end,:);
end