Increasing the Filter Order

Let's return now to the simple low-pass filter

$$y(n) = x(n) + x(n-1)$$

Increasing the order will increase the number of samples averaged

$$y(n) = x(n) + x(n-1) + x(n-2),$$

and the waveform will be smoothed (with a more gentle slope to zero) which corresponds to a lowered cutoff frequency

Figure 8: Lowpass filters of increasing order.