Hello, how can I calculate the row and column by inserting a 3D matrix using this equation,, so that the input 3D matrix and output 2D matrix

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hisham mohammed 2023-3-1

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https://ww2.mathworks.cn/matlabcentral/answers/1921315-hello-how-can-i-calculate-the-row-and-column-by-inserting-a-3d-matrix-using-this-equation-so-that

回答： DUY Nguyen 2023-3-2

clc
clear all
close all
xm= [5 5 5 5;5 -4 -3 -2;5 -1 0 1;5 2 3 4]
xm = 4×4
     5     5     5     5
     5    -4    -3    -2
     5    -1     0     1
     5     2     3     4
n=length(xm);
[cf] =coherence_factor(xm,n)
cf = 1×4
    1.0000    0.0741    0.2315    0.9074
function [cf] = coherence_factor(xm,n)
for i=1:4;
    n=length(xm(i,:));
    %%%%%%%%%%%%%%%%%%%%  equation  %%%%%%%%%%%%%%%%%%%
    cf(i)=(abs (sum(xm(i,:))).^2) / (n* sum(abs(xm(i,:).^2)));
end
CF=cf(i);
end

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Torsten 2023-3-1

Your code works, but it's still not clear what you mean with your question.

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Answer 1

DUY Nguyen 2023-3-2

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https://ww2.mathworks.cn/matlabcentral/answers/1921315-hello-how-can-i-calculate-the-row-and-column-by-inserting-a-3d-matrix-using-this-equation-so-that#answer_1183265

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Hi, you mean that with your given function, we need to calculate the factor for 3D matrix right?

% Define the input 3D matrix
xm = cat(3, [5 5 5 5;5 -4 -3 -2;5 -1 0 1;5 2 3 4], [4 4 4 4;4 -3 -2 -1;4 0 1 2;4 3 4 5]);
% Get the number of rows and columns in the input matrix
[~,n,~] = size(xm);
% Initialize the output coherence factor matrix
cf = zeros(n, size(xm,3));
% Calculate coherence factor for each slice of the 3D matrix
for i = 1:size(xm, 3)
    cf(:,i) = (abs(sum(xm(:,:,i), 2)).^2) ./ (n * sum(abs(xm(:,:,i)).^2, 2));
end
% Display the input and output matrices
disp('Input 3D matrix:')
Input 3D matrix:
disp(xm)
(:,:,1) =

     5     5     5     5
     5    -4    -3    -2
     5    -1     0     1
     5     2     3     4


(:,:,2) =

     4     4     4     4
     4    -3    -2    -1
     4     0     1     2
     4     3     4     5
disp('Output coherence factor matrix:')
Output coherence factor matrix:
disp(cf) 
    1.0000    1.0000
    0.0741    0.0333
    0.2315    0.5833
    0.9074    0.9697