Weight charts from wwdiary, part 2

In part 1 [1] I described a way of generating nice weight charts from the data stored in the wwdiary [2] weight loss app.

I record a daily weight measurement, usually first thing each morning. As one would expect this can vary a lot from day to day for all sorts of reasons. To get a better handle of the trends a smoothing filter can be applied to the data. There are many methods of doing this, eg Moving Averages. The one I've opted to use here is the Leaky Integrator [3] due to its simplicity.

The unsmoothed chart looks like this.

The following is a GnuPlot chart that applies the Leaky Integrator smoothing to the data (assumed to be in file weight.dat, see part 1 on how to extract this from the wwdiary database):

# GnuPlot script to plot smoothed weight from datafile in format
# uuuuuuuuuu ww.w
# Where uuuuuuuuuu is date in unix epoch time
# and ww.w is weight (in kg here, but trivial to change to other units).
# One record per line. 
# 
# Smoothing is acomplished with the Leaky Integrator
# http://en.wikipedia.org/wiki/Leaky_integrator
# 
# Joe Desbonnet, jdesbonnet@gmail.com, June 2014.
#
set xdata time
set timefmt "%s"
set format x "%m/%Y"
set xtics font "Arial, 10" 
set title "Smoothed Weight Loss Curve using Leaky Integrator λ=0.8"
set xlabel "Time"
set ylabel "Mass (kg)"
set grid
set key off
set term pngcairo size 800,400
set output "weight.png"
# Lambda (0 ≤ λ < 1.0) determines smoothing. Higher values for more smoothing.
lambda=0.8
ym1=0
leaky_integrator(x) = (ym1 = ym1==0 ? x : (1-lambda)*x + lambda*ym1)
plot 'weight.dat' using 1:(leaky_integrator($2)) with linespoints, \
     'weight.dat' using 1:2 lt 3

After applying the smoothing filter (and plotting the original points in blue for reference):

You can adjust the 'strength' of the smoothing filter by changing the value of lambda. Lambda can vary from 0 to 1. The closer to 1 the higher the smoothing effect.

References:

[1] http://jdesbonnet.blogspot.ie/2014/06/weight-charts-from-wwdiary-part-1.html
[2] https://play.google.com/store/apps/details?id=com.canofsleep.wwdiary
[3] http://en.wikipedia.org/wiki/Leaky_integrator