Check if a vector and matrix are orthogonal (MATLAB)

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high speed 2022-3-25

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评论： Rik 2022-3-25

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Dear,

I founded this program:

clear;clc;
Niter = 2; % number of iterations
EsN0_dB = -3:1:7; % SNR range to plot over
msg_num = 2000; % number of messages per SNR value
H =[1 1 1 1 0 0 0 0 0 0;
    1 0 0 0 1 1 1 0 0 0;
    0 1 0 0 1 0 0 1 1 0;
    0 0 1 0 0 1 0 1 0 1;
    0 0 0 1 0 0 1 0 1 1];
[rows, cols] = size(H);
[G_sys, H_sys] = gen_Gsys_from_H(H);
check = mod(G_sys*H_sys',2); % to see if orthogonal

But I don't have the function gen_Gsys_from_H(H)

I want just to understand if G_sys in this case is a vector or matrix. And what the result check must be to see if it is orthogonal or not ?

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high speed 2022-3-25

The number of columns in this example is 10, but I didn't understand why did you choose 3. Also, H_sys is normally a matrix, but in the line that you wrote you have considered H_sys as a vector not a matrix. As I have understand that to confirm if it is orthogonal or not we must have mod-2=0 of the product between the vector and the transposed matrix. So normally G_sys is a vector and H_sys is a vector no?

Rik 2022-3-25

I don't know anything about your application. What I told you is what you can learn from the code itself. If the variable check must be a scalar, then those two other variables must be vectors. Matlab doesn't care about the length, as long as they're equal. I don't know what that function was supposed to do, that is why I posted a comment, not an answer.

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