M-point averaging filter

I need to implement a one-dimensional M-point averaging filter for a matrix consisting of values (pixels of an image) between 0 and 1, such that each pixel value is replaced by the equal-weighted average of its (M − 1)/2 neighbors to its left, (M − 1)/2 neighbors to its right, and the pixel value itself.

For instance, for M = 3, it would be like:

y[n,m]= 1/3 (x[n,m−1] + x[n,m] + x[n,m+1])

Please help me out with this. Thank you.

[Austin Thai]

Have you checked out the movmean function? You should be able to do

y[n,:]=movmean(x(n,:),3)

[Image Analyst]

Duplicate of https://www.mathworks.com/matlabcentral/answers/804741-implement-the-following-formula#answer_677556

Answer 1

[the cyclist]

You should be able to use the movmean function. For example:

% Define some data
A = reshape(1:15,3,5);

% Take the moving average of 3 elements, across the rows.
movmean(A,3,2)

ans = 3×5

2.5000 4.0000 7.0000 10.0000 11.5000 3.5000 5.0000 8.0000 11.0000 12.5000 4.5000 6.0000 9.0000 12.0000 13.5000