How to combine multiple GF arrays into 1 big GF array

Hi,

I am creating a Hamming(7,4) code and am holding the contents in a 1x7 gf array. The goal is to take a message such as "hello" (in 8 bits per character) turn it to binary and add the Hamming(7,4) code to it then combine it all back as one. The Hamming code can only do 4 bits at a time so it is returning a 1x7 GF array. For "hello" I obtain 10 1x7 GF arrays. Is there a way to combine these arrays into one big one GF array? Or make it a 2d array? So have an array hold each 1x7 cell array? Is there a way to append the 1x7 to the big array? I am new to MATLAB so I am not sure of all of the processes .

Thank you

Answer 1

[Abhaya]

Hi Nick,

To combine multiple GF arrays either vertically or horizontally, you can use MATLAB's built-in functions. Here's how you can do it:

1. Vertical Concatenation: To concatenate multiple GF arrays vertically, you can use MATLAB's ‘vertcat’ function.

Below is a simple example of concatenating multiple GF arrays vertically:

                gfArray1 = gf([1 0 1 1 0 0 1]); 
                gfArray2 = gf([0 1 1 0 1 1 0]); 
                
                % Vertically concatenate 
                combinedGFArrayV = vertcat(gfArray1, gfArray2); 
                
                % Display the result 
                disp(combinedGFArrayV); 

The result will generate a GF array of size 2x7.

1. Horizontal Concatenation: To concatenate multiple GF arrays horizontally, you can use MATLAB's ‘horzcat’ function.

Below is an example of concatenating multiple GF arrays horizontally:

                gfArray1 = gf([1 0 1 1 0 0 1]); 
                gfArray2 = gf([0 1 1 0 1 1 0]); 
                
                % Horizontally concatenate 
                combinedGFArrayH = horzcat(gfArray1, gfArray2); 
                
                % Display the result 
                disp(combinedGFArrayH); 

The result will generate a GF array of size 1x14.

For further information about ‘vertcat’ and ‘horzcat’, please follow the MATLAB documentations given below.

https://www.mathworks.com/help/releases/R2022a/matlab/ref/vertcat.html

https://www.mathworks.com/help/releases/R2022a/matlab/ref/horzcat.html

Hope this solves your query.