MATLAB: Converting binary like table but using decimal values

Question

I'm trying to create a table that will start at a negative value and increment by one in the right most column and each column to the left will only increment when there is a carry. This is similar to a binary table or any other base-n table, but I would like to keep the values in decimal format, not alpha-numeric.

I had this code which was working well, but fails if I make 'n' > 5 due to the alpha-numerics once the decimal value reaches '10'.

m = 3;    %Number of signals
n = n+1;  %Number of harmonics
%% Harmonic Basis Matrix
T = zeros((2*n-1)^m,m);
for k = 1:(2*n-1)^m
    T(k,:) = dec2base(k-1,2*n-1,m)-num2str(n-1);
end

When I subtract num2str(n-1) from the string '00A', the result is double('00A') = 17 – double('0') = 5 ==> 17-5 = 12.

I thought about creating the matrix in alpha-numeric string form and just splitting the values into columns, but couldn't figure out how to do that effectively without using cells – which I need to avoid as this will be used in some matrix algebra.

Please note, that the variables 'm' and 'n' are part of a function input and could be completely arbitrary.

Thanks for the help!

Answer 1

You can use comma-separated lists on the output of ndgrid:

https://www.mathworks.com/help/matlab/matlab_prog/comma-separated-lists.html

https://www.mathworks.com/matlabcentral/answers/320713-how-to-operate-on-comma-separated-lists

>> m = 4;
>> C = cell(1,m);
>> [C{:}] = ndgrid(-2:2);
>> C = cellfun(@(a)a(:),C,'uni',0);
>> T = [C{end:-1:1}]
ans =
  -2  -2  -2  -2
  -2  -2  -2  -1
  -2  -2  -2   0
  -2  -2  -2   1
  -2  -2  -2   2
  -2  -2  -1  -2
  -2  -2  -1  -1
  -2  -2  -1   0
  -2  -2  -1   1
  -2  -2  -1   2
  -2  -2   0  -2
  -2  -2   0  -1
  -2  -2   0   0
  -2  -2   0   1
  -2  -2   0   2
... lots of lines here
   2   2   1   1
   2   2   1   2
   2   2   2  -2
   2   2   2  -1
   2   2   2   0
   2   2   2   1
   2   2   2   2