How to generate block toeplitz matrix

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?

[Matt J]

leo cha's comment moved here:

I have problem, for example

if

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),

Answer 1

[Matt J]

Q={A,B,C}; %blocks

n=length(Q);

result = cell2mat(Q(toeplitz(1:n)));

[Ali Bulut ÜÇÜNCÜ]

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

[Royi Avital]

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.