Local Smoothness of Graph Signals

Figure 10

Local signal smoothness for the graph signal presented in Figure 3. Exact smoothness is presented by a solid line. The estimated smoothness is presented by dots. It is calculated only at the vertices where the signal takes significant values, using (a) the Laplacian of the graph signal (23), (b) the vertex-frequency energy distribution (Figure 6), (c) the reduced interference vertex-frequency distribution (Figure 7), (d) the graph spectrogram with a window defined in the vertex domain (Figure 9), and (e) the graph spectrogram with a window defined in the spectral domain (Figure 8).

(a)

(b)

(c)

(d)

(e)