Column Circulant Matrix

2012 3 8
1 个回答
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0 个投票

Hello,
How to create the following coulumn circulant matrix in matlab:
X=
[
x_0 x_{p-1} .... x_{P-L}
x_1 x_0 .... x_{P-L+1}
.
.
.
x_{p-1} x_{p-2} ... x_{P-L-1}
]
where p>L and both are positive integers.
Thanks

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回答（1 个）

Honglei Chen
Honglei Chen 2012-3-8

0 个投票

gallery('circul',[1 2 3])'
You can then take the first L columns

4 个评论
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S. David
S. David 2012-3-8
May be I was not clear. I have the first column, but I need to create the whole matrix using it. The question is how? Thanks
Honglei Chen
Honglei Chen 2012-3-8
Just pass your first column in the place of [1 2 3] in the above code and see what the output is. The last transpose should restore your circulant matrix on columns.
S. David
S. David 2012-3-15
Ok, good. Now how can I control the number of column's circular shifts? I mean, I do not want the circulant matrix to be square. For example, say I want something like:
X=[
1 5 4
2 1 5
3 2 1
4 3 2
5 4 3
]
Thanks.
S. David
S. David 2012-3-15
Very simple
x=[1 2 3 4 5];
P=gallery('circul',x)';
G=P(:,1:3);

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S. David
S. David
2012-3-8

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