,…,𝛿),…,𝛿!$# } such that 𝑑)= 𝜇+ 𝜎𝛿) . The 𝛿)’s are rrv, iid according to 𝒩(0,1) and, for any 𝑁, the z-transform of the 𝑑)’ can be rewritten 𝑇!{4}(𝑧) = 𝜇 + 𝑧𝜇 +⋯+𝑧!$#𝜇+ 𝜎[𝛿

Two odd probabilistic phenomena in the complex In this paragraph we assume that the reader is somehow familiar with probability theory, deterministic Padé approximation · 1943

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PAD\'E FILTERING, Principles and Use: an Introductory Report

gr-qc · 2024-12-11 · conditional · novelty 5.0

Padé approximants to the z-transform reveal separate complex-plane pole and zero patterns for signal and noise (Froissart doublets), a method the report tests on gravitational-wave templates and Virgo data.

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PAD\'E FILTERING, Principles and Use: an Introductory Report gr-qc · 2024-12-11 · conditional · none · ref 4
Padé approximants to the z-transform reveal separate complex-plane pole and zero patterns for signal and noise (Froissart doublets), a method the report tests on gravitational-wave templates and Virgo data.

,…,𝛿),…,𝛿!$# } such that 𝑑)= 𝜇+ 𝜎𝛿) . The 𝛿)’s are rrv, iid according to 𝒩(0,1) and, for any 𝑁, the z-transform of the 𝑑)’ can be rewritten 𝑇!{4}(𝑧) = 𝜇 + 𝑧𝜇 +⋯+𝑧!$#𝜇+ 𝜎[𝛿

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