Recursive Load Distribution in Signal Processing

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Authors: A J Paton
Cited by: 0

Abstract

This technical note presents a Tier-7 domain instantiation of the recursion-under-load principle formalised at Tier-6 within the Paton System. It demonstrates that signal processing systems exhibit the same structural distinction: closed recursive amplification leads to boundary collision when pole magnitudes exceed unity, while distributed constraint mechanisms (attenuation, damping, normalization) preserve bounded continuation when stability conditions are satisfied. No new operators are introduced and the foundational admissibility spine (Gate → Datum → ℘) remains unchanged. The document functions as a structural overlay linking abstract recursion stability to practical filter design and signal propagation theory.

Fields of Study & Subjects

Digital Filter Design and Implementation Complex Systems and Dynamics Mathematical Analysis and Transform Methods

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
28 February 2026
Language
EN