Does detrend function remove the mean of the signal?

I would like to know if the detrend function (https://fr.mathworks.com/help/ident/ref/iddata.detrend.html) removes also the mean of the signal (demeaning/centering) of the input signal.

Answer 1

[Bjorn Gustavsson]

If you read the help of detrend you will find:

 DETREND Remove a linear trend from a vector, usually for FFT processing.
    [Y,trend] = DETREND(X) removes the best straight-line fit linear trend from 
    the data in vector X and returns the residual in vector Y.  If X is a 
    matrix, DETREND removes the trend from each column of the matrix.
 
    [Y,trend] = DETREND(X,'constant') removes just the mean value from the vector X,
    or the mean value from each column, if X is a matrix.
 
    [Y,trend] = DETREND(X,'linear',BP) removes a continuous, piecewise linear trend.
    Breakpoint indices for the linear trend are contained in the vector BP.
    The default is no breakpoints, such that one single straight line is
    removed from each column of X.
 
    Class support for inputs X,BP:
       float: double, single
 
  Modified to also output the trend - so that it can be re-inserted
  later. BG
 
    See also MEAN

    Other functions named detrend

       gpuArray/detrend    timeseries/detrend

HTH

[Steven Lord]

This is the help for the MATLAB detrend function. The link in the original question is for the detrend method of iddata objects, and if we look at it the second item in the Description section states:

"data_d = detrend(data) computes and subtracts the mean value from each time-domain signal in data. The iddata objects data_d and data each contain input and output data originating from SISO, MIMO, or multiexperiment datasets."

I haven't used iddata objects before but from reading the third item in that Description section it appears you can ask detrend for those objects to remove different types of trends.

[serafeim loukas]

Thanks. Indeed, after running the example (using default input parameters), I can see that the mean is indeed removed.