spectral graph filter

Data

subject:: Data Science Methods for Large Scale Graphs parent:: Graph Signals and Graph Signal Processing theme:: math notes

Spectral Graph Filters

Let $S=V\Lambda V^{\ast }$, $\hat{x}=V^{\ast }x$ for some diagonalizable shift operator $S$ and some graph signal $x$.

$y={\sum }_{j=1}^n{c}_j{\hat{x}}_j{v}_j$ Where $\hat{x}$ is the graph fourier transform of signal $x$. We design or learn the constants $c_j$.

ie, we can write the graph signal $x$ in terms of the graph shift operator.

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