Figure - PMC

Skip to main content

View full-text article in PMC

. Author manuscript; available in PMC: 2023 May 1.

Published in final edited form as: Proc IEEE Int Conf Acoust Speech Signal Process. 2022 Apr 27;2022:5528–5532. doi: 10.1109/icassp43922.2022.9746382

Fig. 3. — First-order invariant scattering moments for standard Brownian motion and Poisson point process. Left: Sample realizations Top: Brownian motion. Bottom: Ordinary Poisson point process. Middle: Normalized scattering moments $\frac{S Y_{poisson} (x, ξ, p)}{λ E {|A_{1}|}^{p} ‖ w ‖_{p}^{p}}$ and $\frac{S X_{BM} (s, ξ, p)}{λ E | Z |^{p} ‖ w ‖_{p}^{p}}$ for Poisson and BM with p = 1. Right: The same but with p = 2.

Fig. 3. — First-order invariant scattering moments for standard Brownian motion and Poisson point process. Left: Sample realizations Top: Brownian motion. Bottom: Ordinary Poisson point process. Middle: Normalized scattering moments $\frac{S Y_{poisson} (x, ξ, p)}{λ E {|A_{1}|}^{p} ‖ w ‖_{p}^{p}}$ and $\frac{S X_{BM} (s, ξ, p)}{λ E | Z |^{p} ‖ w ‖_{p}^{p}}$ for Poisson and BM with p = 1. Right: The same but with p = 2.