Creating a loop for genearating matrix

Hello All, I am new to matlab and i need to create a loop for my code below. Could yu please help me out in this. The input u and y are 301x1 matrices.

m = 1;  

Y1 = y(2:301);

psi1 = [-y(1:300) u(1:300)];

theta1 = inv(psi1'*psi1)*psi1'*Y1

e1 = Y1 - psi1*theta1;

Vmin1 = e1'*e1

m=2;

Y2 = y(3:301);

psi2 = [-y(2:300) -y(1:299) u(2:300) u(1:299)]

theta2 = inv(psi2'*psi2)*psi2'*Y2

e2 = Y2 - psi2*theta2;

Vmin2 = e2'*e2

m=3;

Y3 = [y(4:301)];

psi3 = [-y(3:300) -y(2:299) -y(1:298) u(3:300) u(2:299) u(1:298)];

theta3 = inv(psi3'*psi3)*psi3'*Y3

e3 = Y3 - psi3*theta3;

Vmin3 = e3'*e3

m=4;

Y4 = [y(5:301)];

psi4 = [-y(4:300) -y(3:299) -y(2:298) -y(1:297) u(4:300) u(3:299) u(2:298) u(1:297)];

theta4 = inv(psi4'*psi4)*psi4'*Y4

e4 = Y4 - psi4*theta4;

Vmin4 = e4'*e4

m=5;

Y5 = [y(6:301)];

psi5 = [-y(5:300) -y(4:299) -y(3:298) -y(2:297) -y(1:296) u(5:300) u(4:299) u(3:298) u(2:297) u(1:296)];

theta5 =  inv(psi5'*psi5)*psi5'*Y5

e5 = Y5 - psi5*theta5;

Vmin5 = e5'*e5

I need to create a loop for generating psi everytime. Does anyone have any idea about how can we create it for the above code?

[Stephen23]

Why do you need a loop? What is wrong with the code above?

[Divya Krishna Ramakrishna]

this is for 5 values i have written. i need to find for 20 values.

Answer 1

[Renato Agurto]

Hi. I hope this is what you need

N = length(y); %should be 301
for i = 1:5
    Y{i} = y(i+1:N);
    tmpY = [];
    tmpU = [];
    for j = 1:i
        tmpY = [tmpY -1*y(i+1-j:N-j)];
        tmpU = [tmpU u(i+1-j:N-j)];
    end
    psi{i} = [tmpY tmpU];
    theta{i} = inv(psi{i}'*psi{i})*psi{i}'*Y{i};
    e{i}= Y{i} - psi{i}*theta{i};
    Vmin{i} = e{i}'*e{i};
end

[Divya Krishna Ramakrishna]

Thank you. Yes this should work. I will try it and check. Logically its perfect. :) thanks a lot

[Divya Krishna Ramakrishna]

Got it thank you. works perfectly fine :) :)