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# Horizontal First Differencer on a Matrix

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Sarah Maas on 18 Apr 2021
Commented: Sarah Maas on 18 Apr 2021
I have a matrix M and I need to implement a first differencer along the horizontal dimension as follows such that the value of each element is replaced by:
y[n, m] = x[n, m] x[n, m 1]
Where n and m be the independent variables (integer indices) indexing the matrix elements along the vertical and horizontal dimensions, respectively.
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### Accepted Answer

Bjorn Gustavsson on 18 Apr 2021
Have a look on the help and documentation to diff. For this case use:
y = diff(x,[],2);
% or explicitly 1st difference:
y = diff(x,1,2);
% or manually:
y = x(:,2:end) - y(:,1:end-1);
HTH
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Sarah Maas on 18 Apr 2021
Thank you. Can you also tell me how i can derive the frequency response of the above?

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