How to generate block toeplitz matrix

Asked by Ali Bulut ÜÇÜNCÜ on 16 Oct 2015

Latest activity Edited by Royi Avital on 13 Mar 2019

48 views (last 30 days)

I want to generate a block toeplitz matrix in MATLAB, that is [A B C; B A B; C B A] , where A B and C are matrices (if they were scalars, the matlab function "toeplitz" would simply work). Does anyone have any simple way to generate such a matrix?

1 Comment

Matt J on 13 Mar 2019

leo cha's comment moved here:

I have problem, for example

for i = 1:200

Q(:, :, 1, i) = magic(2);

end

I would like to generate a block toeplitz matrix, where each block is Q(:, :, 1, i),

1 Answer

Link

Answer by Matt J on 16 Oct 2015

Edited by Matt J on 16 Oct 2015

Accepted Answer

Q={A,B,C}; %blocks
n=length(Q);
result = cell2mat(Q(toeplitz(1:n)));

2 Comments

Ali Bulut ÜÇÜNCÜ on 17 Oct 2015

What if we have A,B and C matrices in a single matrix? That is D=[A B C];

Royi Avital on 19 Jan 2019

This could be extended to assymetric case.

For instance if we want the upper triangle to be zero we can do something like:

Q = {A, B, C, Z}; %blocks
n = length(Q);
vC = 1:n;
vR = 4 * ones(n, 1); vR(1) = vC(1);
result = cell2mat(Q(toeplitz(vC, vR)));

Where Z is zeros.

You are now following this question

Ali Bulut ÜÇÜNCÜ (view profile)