Increasing the Filter Order

• Let's return now to the simple low-pass filter $y(n) = x(n)+x(n-1)$ which is just a two point running average (with a factor of 2).

• If we increase the number of samples averaged, i.e. increase the filter order,
  $$y(n) = x(n) + x(n-1) + x(n-2),$$
  the waveform will be smoothed (with a more gentle slope to zero), which corresponds to a lowered cutoff frequency

Figure 8: A Cascade of Simple Lowpass filters.