bibkey: yue2016systemaliasing authors: Zuogon Yue; Johan Thunberg; Jorge Goncalves year: 2016 title: “Inverse Problems for Matrix Exponential in System Identification: System Aliasing” doi: null url: https://arxiv.org/abs/1605.06973v1 claim: “The principal-logarithm strip and sampled continuous-time generator aliases provide the classical boundary for matrix-exponential sampling.” strata_touched: [] license: citation-only triage: anchor

System aliasing for sampled matrix exponentials

The cited primary record is arXiv:1605.06973v1. Section II.A, Theorem 1 gives uniqueness of the principal logarithm in the open strip $-\pi <\mathrm{Im}z<\pi$. Definition 5 defines system aliasing through nonunique continuous-time generators, and Section III.A with Theorem 4 relates sampling restrictions to prior spectral information.

The LocalClock application uses this only as a classical boundary: a sampled scalar phase can have exact aliases, while the calibrated two-wait five-mode calculation is proved directly from its phase factors. The source-specific fibre inverse, the mixed-wait criterion, physical clock realization and any arbitrary multitime record law are not claims of this paper. The non-strict endpoint printed in its sampling statement is not imported as an equality-at-Nyquist guarantee.