2023
DOI: 10.1016/j.sigpro.2022.108765
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A new geometric approach to the calculation of transmission zeros in the signal processing theory

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“…Lemma 1 (see [16]). Let a matrix A(s) with dimensions m × n be defined for s ∈ X ⊂ C. Then, the following equalities are satisfied…”
Section: A New Methods Of Calculation Of Transmission Zerosmentioning
confidence: 99%
See 1 more Smart Citation
“…Lemma 1 (see [16]). Let a matrix A(s) with dimensions m × n be defined for s ∈ X ⊂ C. Then, the following equalities are satisfied…”
Section: A New Methods Of Calculation Of Transmission Zerosmentioning
confidence: 99%
“…Apparently, the most important method encompassing the Smith-McMillan factorization enables a determination of discussed zeros in a reasonable time, which could be shortened for more demanding applications [12]. For this purpose, a new geometric-oriented algorithm was recently introduced and its valuable properties were presented to the world scientific society [16]. Henceforth, stable and unstable transmission zeros can be calculated faster in comparison to the broadly accepted Smith-McMillan-based approach in order to meet the predefined time regime in a wide range of well-established real-life implementations.…”
Section: Introductionmentioning
confidence: 99%