bandlimited graphon signal

[[concept]]

A graphon signal $(W, X)$ is $c$ -bandlimited if its graphon fourier transform satisfies ${\hat{x}}_{i} = 0$ for all $i \in C = {j such that | λ_{j} | > c}$

Example

"Limiting" the energy in a middle "band" of frequencies about $0$

Review

A $c$ -bandlimited graph signal is one that {1||"limits"} the {2||frequency of the signal} to {3||a "band" between $\pm c$ }

Mentions

File
2025-04-02 lecture 17
2025-04-07 lecture 18
bandlimited convergent graph signals converge in the fourier domain
graph convolutions of bandlimited signals converge to the graphon convolution
lipschitz graph convolutions of graph signals converge to lipschitz graphon filters

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