How to create overlapping blocks using a matrix rows ?

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Sarah A 2019-1-19

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/440528-how-to-create-overlapping-blocks-using-a-matrix-rows

评论： Star Strider 2019-1-20

采纳的回答： Star Strider

Hello,

Suppose that we have the matrix A where:

A=[0 1 0 0 1 1 0 1 0 1 0 1 0]

now, we want to create 10 blocks where each block contains four bits and put it in the cell matrix B where:

B= {[0,1,0,0] [1,0,0,1] [0,0,1,1] [0,1,1,0] [1,1,0,1] [1,0,1,0] [0,1,0,1] ...
    [1,0,1,0] [0,1,0,1] [1,0,1,0] }

As you can see, each block is resulted by shifting a sliding window (of size four) by one bit each time, for example:

% the sequence 01001 will gives: 
% [0,1,0,0] and [1,0,0,1]

So how I can implement that?

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Stephan 2019-1-19

Are you sure that B looks like you want it to look?

Sarah A 2019-1-19

yes. it supposed to be cell matrix. I editted the question.

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采纳的回答

Star Strider 2019-1-19

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/440528-how-to-create-overlapping-blocks-using-a-matrix-rows#answer_357150

在 MATLAB Online 中打开

Try this:

A=[0 1 0 0 1 1 0 1 0 1 0 1 0];
S = hankel(A, [0 1 1 1]);
S = S(1:10,:);
B = mat2cell(S, ones(1,size(S,1)), size(S,2))';

If you prefer a loop:

L = 4;
for k1 = 1:numel(A)-L
    S(k1,:) = A(k1:k1+L-1);
end
B = mat2cell(S, ones(1,size(S,1)), size(S,2))';
B{:}                                                           % Display Result (Delete Later)

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Sarah A 2019-1-20

编辑：Sarah A 2019-1-20

This is the final form, I wasnt do it without your help so Thank you :)

matrix = [ 0 0 0 0 1 1 0 1 0 1 1 1 1; 0 1 0 1 1 1 0 0 1 1 1 0 1]
for i=1:size(matrix,1)
    A=matrix(i,:);
    S = hankel(A, [0 1 1 1]);
    L = 4; %sliding window size
    S = S(1:(size(A,2)-(L-1)),:);
    for k1 = 1:numel(A)-L
        S(k1,:) = A(k1:k1+L-1);
    end
    B = mat2cell(S, ones(1,size(S,1)), size(S,2))';
    C{i}=B; 
end

and the output will be:

C(1,1):
[0,0,0,0][0,0,0,1][0,0,1,1][0,1,1,0][1,1,0,1][1,0,1,0][0,1,0,1][1,0,1,1][0,1,1,1][1,1,1,1]
C(1,2):
[0,1,0,1][1,0,1,1][0,1,1,1][1,1,1,0][1,1,0,0][1,0,0,1][0,0,1,1][0,1,1,1][1,1,1,0][1,1,0,1]