signal processing – Why doesn’t HighpassFilter fully remove the DC component?

The high pass filter is not completely removing the DC component. See the picture. Blue is the signal before filtering, green is after.

Here is some background on the subject matter. I’m studying the beats of the heart in order to get something called HRV. The important aspects of HRV are between about 0.07 and 0.15 Hz. The standard practice in the literature is to pass the data through a band pass before analysis. I’m passing it through a low and high pass filter because I wanted to inspect the affects of both operations on the data. It is a bit of an art, because I want to smooth the data, but not distort the important information.

As requested here is the code. The data points are not evenly spaced in time, so the first step is to use interpolation to make evenly spaced points. Also, below that is 500 points from the data set.

RRData = RRDataCorrected;
 (*Below is plot of raw data before interpolation or filtering.*)
 (*For this plot I subtract out the DC signal.*)
 dumplot = 
 ListLinePlot(
  MapAt(# - Mean(RRDataCorrected((All, 2))) &, #, 2) & /@ 
   RRDataCorrected, PlotStyle -> {Blue}, 
  PlotMarkers -> Graphics@{Disk({0, 0}, Scaled@0.008)}, 
  AspectRatio -> 1/10, ImageSize -> Full);

myInterpolation = Interpolation(RRData, InterpolationOrder -> 3);
filteredUniformRRData = 
  Table({i*beatinterval, myInterpolation(i*beatinterval)}, {i, 0, 
    Length(RRData) - 1});
filteredUniformRRData = 
  Transpose({Table(i*beatinterval, {i, 0, Length(RRData) - 1}), 
    LowpassFilter(filteredUniformRRData((All, 2)), 1.5000000)});
filteredUniformRRData = 
  Transpose({Table(i*beatinterval, {i, 0, Length(RRData) - 1}), 
    HighpassFilter(RRData((All, 2)), 00.1)});

Show(ListLinePlot(filteredUniformRRData, PlotStyle -> Green, 
  PlotRange -> {All, All}), dumplot, AspectRatio -> 1/10, 
 ImageSize -> Full, PlotRange -> {All, All})




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