Calculating Spectra by Sequential High-Pass Filtering

2024/12/16 by Dongxiao Zhao, Zhao, Dongxiao, Hussein Aluie +1
Computer Science · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Mathematical Physics (math-ph) #Sensor Technology and Measurement Systems

paper · pdf · doi:10.48550/arxiv.2412.11891

openalex publication_date 2024/12/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

Abstract

We expand on the method of sequential filtering for calculating spectra of inhomogeneous fields. Sadek & Aluie [Phys. Rev. Fluids, 3, 124610 (2018)] showed that the kernel has to have at least p vanishing moments to extract a power-law spectrum k^-α with α

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