Circulant Matrix [Column Wise Traversal]

조회 수: 1 (최근 30일)
Tarek Hajj Shehadi
Tarek Hajj Shehadi 2020년 9월 18일
댓글: Rena Berman 2020년 10월 8일
Below is the row wise circulant matrix algorithm :
function C= circulant(x)
n=length(x);
C=zeros(n,n);
C(1,:)=x;
for i=2:n
C(i, :)=[C(i-1, n) C(i-1, 1:n-1)];
end
How can I compute the circulant matrix column wise based on what I wrote for the circulant matrix computed row wise?
  댓글 수: 4
Rik
Rik 2020년 9월 20일
Tarek, removing you question and comments is very rude. I have restored some of your posts from the cache that Google creates. Why did you remove it? Are you afraid to be caught cheating? There is a reason you can't delete a question once you get an answer: people put in time to understand your problem, find a solution, and post it. The curteous thing to is to leave it up so future people with a similar problem can benefit from that time investment as well.
Rena Berman
Rena Berman 2020년 10월 8일
(Answers Dev) Restored edit

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채택된 답변

Bruno Luong
Bruno Luong 2020년 9월 19일
function C= circulant(x)
n=length(x);
C=zeros(n,n);
C(:,1)=x;
for j=2:n
C(:,j)=[C(n,j-1); C(1:n-1,j-1)];
end
  댓글 수: 1
Rik
Rik 2020년 9월 20일
Deleted comment by by Tarek Hajj Shehadi:
I have accepted your answer as it is the one I am looking for, I would also like to thank Matt J for also putting an effort in helping me. As for your answer its entirley what I was looking for just that I added C=C'; to transpose this matrix as required.

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추가 답변 (3개)

Matt J
Matt J 2020년 9월 18일
function C= circulant(x)
n=length(x);
C=zeros(n,n);
C(1,:)=x;
for i=2:n
C(i, :)=[C(i-1, n) C(i-1, 1:n-1)];
end
C=C.';
  댓글 수: 1
Rik
Rik 2020년 9월 20일
Deleted comment by by Tarek Hajj Shehadi:
Hello, The thing I was trying to make columnwise computation and the rowwise computation of the circulant matrix output the same matrix where in both cases, the entries are in same position so the problem I am encountering is perhaps in the for loop.

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Bruno Luong
Bruno Luong 2020년 9월 19일
function C= circulant(x)
n = length(x);
C = x(mod((1:n)'-(1:n),n)+1);

Bruno Luong
Bruno Luong 2020년 9월 18일
function C= circulant(x)
toeplitz(x,circshift(flip(x),1))
end
  댓글 수: 1
Rik
Rik 2020년 9월 20일
Deleted comment by by Tarek Hajj Shehadi:
I wish to write the algorithm using for loops and not use the builtin function.

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