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. 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. 2. — First-order scattering moments for inhomogeneous Poisson point processes. Left: Sample realization with $λ (t) = 0.01 (1 + 0.5 \sin (\frac{2 π t}{N}))$ . Right: Time-dependent scattering moments $\frac{S_{γ, p} Y (t)}{s ‖ w ‖_{P}^{p}}$ at $t_{1} = \frac{N}{4}$ , $t_{2} = \frac{N}{2}$ , $t_{3} = \frac{3 N}{4}$ . Note that the scattering coefficients at times t₁, t₂, t₃ converges to λ(t₁) = 0.015, λ(t₂) = 0.01, λ(t₃) = 0.005.

Fig. 2. — First-order scattering moments for inhomogeneous Poisson point processes. Left: Sample realization with $λ (t) = 0.01 (1 + 0.5 \sin (\frac{2 π t}{N}))$ . Right: Time-dependent scattering moments $\frac{S_{γ, p} Y (t)}{s ‖ w ‖_{P}^{p}}$ at $t_{1} = \frac{N}{4}$ , $t_{2} = \frac{N}{2}$ , $t_{3} = \frac{3 N}{4}$ . Note that the scattering coefficients at times t₁, t₂, t₃ converges to λ(t₁) = 0.015, λ(t₂) = 0.01, λ(t₃) = 0.005.