Extend a vector by extending its elements

I have a vector of dimension d: (1,2,...,d) (it's (x_1,x_2,...,x_n) but I removed the 'x_' for simplicity). Now I would like to extend it (in a fast manner) to obtain a d*d vector of the form:
(1,1,...,1,2,...,2,...,d,d,...,d)
where each element repeat d times.
I looked at this page: http://www.mathworks.fr/fr/help/wavelet/ref/wextend.html but it seems to me that the function does not handle this kind of extension.
Thank you for your help.

 采纳的回答

If your vector is X.
reshape(repmat(X,d,1),1,[])
should do the trick.
Example -
>> X = [1 2 3 4];
>> d=4;
>> reshape(repmat(X,d,1),1,[])
ans =
1 1 1 1 2 2 2 2 3 3 3 3 4 4 4 4

3 个评论

Thanks, Udit. If X is a column vector, then is there a way to avoid transposing and then re-transposing again the final vector?
reshape(repmat(X,d,1),[],1) will give you a column vector. But in this case you will have to transpose the original vector. SO you will apply -
reshape(repmat(X',d,1),[],1)

请先登录,再进行评论。

更多回答(3 个)

If X is a column vector:
% initial data
d=10;
% engine
X=(1:d)';
ind=ones(d^2,1);
ind(d+1:d:d^2)=1-d;
% result
output_vector=X(cumsum(ind))
If X is a row vector:
% initial data
d=10;
% engine
X=1:d;
ind=ones(d^2,1);
ind(d+1:d:d^2)=1-d;
% result
output_vector=X(cumsum(ind))
without the need to reshape or repmat!

1 个评论

Thanks, George. I will compare with Udit's solution and get back to you.

请先登录,再进行评论。

A slower but nice alternative to repmat:
X = [10 20 30 40]
d = 4
Y = kron(X, ones(1,d))
A fast and also nice alternative:
X = [10 ; 20 ; 30 ; 40]
d = 3
Y = X(ceil((1:d*numel(X))/d))

1 个评论

Thanks, Jos. I will compare with Udit's solution and get back to you.

请先登录,再进行评论。

类别

帮助中心File Exchange 中查找有关 Creating and Concatenating Matrices 的更多信息

标签

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by