Combine two different matrices to create one new matrix of all matrix combinations

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Andrew Alkiviades 2012-5-11

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采纳的回答： Sean de Wolski

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Hi, I have the following matrices

WT_energy_supply(:,:,M) and PV_power_output(:,:,K)

which are 365 x 24 matrices and M = 3 and K = 10. Therefore there are 30 possible combinations of WY_energy_supply and PV_power_output. I am looking to create a set of matrices (in the form (:,:,Z)) that add corresponding elements in each matrix to form this new set (again 365x24 with 30 different matrices) Does anyone have any idea where to start coding this?

Thank you

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Sean de Wolski 2012-5-11

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Nice brain teaser!

%Sample data:
A = ones(4,4,5);
B = bsxfun(@times,ones(4,4,3),cat(3,1,2,3)); 
%Nice to know:
sz = size(B);
%Engine:
C = reshape(bsxfun(@plus,A, reshape(B,sz(1),sz(2),1,sz(3))),sz(1),sz(2),[]);

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Sean de Wolski 2012-5-11

@Andrei, permute is much slower than reshape!

Andrew Alkiviades 2012-5-12

@Sean

Still a bit confused on how to code "C" to take the form

C(:,:,Z) = ...

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Andrei Bobrov 2012-5-11

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eg:

M = 3;
K = 10;
WT_energy_supply = randi(10,10,4,M);
PV_power_output = randi([10 50],10,4,K);
%solution
ij = fullfact([M K]);
out = WT_energy_supply(:,:,ij(:,1)) + PV_power_output(:,:,ij(:,2)) ;

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Andrew Alkiviades 2012-5-11

having tried this code i get the following error "Array dimensions must match for binary array op."

Do I need to define M and K as 3 and 10 since I have them previously in the code for working out WT_energy_supply and PV_power_output?

This may be a stupid question but why can't I just add WT_energy_supply(:,:,M) to PV_power_output(:,:,K) since this is really what I am trying to do?

Thank you

Sean de Wolski 2012-5-11

That's what bsxfun does for you!

think about it, how can you add two things that are different sizes?

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owr 2012-5-11

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To generate all combinations of K and M, check out the file exchange function "allcomb": href=""<http://www.mathworks.com/matlabcentral/fileexchange/10064</a>>

Ive been using it for years, works with more than 2 parameters as well.