Sliding window central value divided by window RMS

Hello. I have a large data set and I am trying to write a function where I can take a sliding window and use the central value in the window and divide that by the RMS. Its pretty much to generate a Automatic Gain Control for RMS. I have tried the following to get the moving RMS, but I am stuck on how to incoporate the central value and dividing it by the window RMS. So far I have this:

data = load('datafile');

movRMS = dsp.MovingRMS(5); %window length 5

z = data./movRMS(data);

Any help would be really appreciated. If there is a better way to do this without using dsp.MovingRMS such as loops I would give that a shot too, I am fairly novice at Matlab. Thanks

Answer 1

[Jos (10584)]

Maybe you can use my function SLIDEFUN which you can download from the File Exchange: https://uk.mathworks.com/matlabcentral/fileexchange/12550-slidefun

RMSfun = @(x) sqrt(sum(x(:).^2)/numel(x))

data = [1 1 1 2 2 3 3 2 2 4 4]
movRMS = slidefun(RMSfun,3, data) 
corrected_data = data ./ movRMS

[Jos (10584)]

If you have movmean, you can also use

movRMS = sqrt(movmean(data.^2,3))

rather than slidefun, of course :)