WebStarting from an implicit parameterization of both poles and residues of the model, as resulting from well-known model identification schemes based on the Generalized Sanathanan- Koerner iteration, we construct a parameter-dependent Skew- Hamiltonian/Hamiltonian matrix pencil. WebSep 22, 2024 · The Sanathanan-Koerner iteration developed in 1963 is classical approach for rational approximation. This approach multiplies both sides of the approximation by …
AAA Algorithm for Rational Transfer Function Approximation …
WebAug 1, 2015 · Sanathanan–Koerner (SK) iteration The SK-method is based on the polynomial form: (4) F ( s) ≅ N ( s) D ( s) = a 0 + a 1 s + a 2 s 2 + ⋯ + a n s n 1 + b 1 s + b 2 s 2 + ⋯ + b m s m. The objective is to find all coefficients for the polynomials N ( s) and D ( s) in (4) that minimize the error function (5) ε ( s) = F ( s) − N ( s) D ( s). Weba Sanathanan-Koerner iteration (Sanathanan and Koerner, 1963). The numericalconditioning of the system equations is improved by using Muntz-Laguerre orthonormal rational basis functions (Knockaert, 2001)(Akcay and Ninness, 1999). The final transfer function is represented as an accurate state-space realization or pole-residue … sa government eap
(PDF) Rational Fitting of S-Parameter Frequency Samples
Webhigh-frequency errors. In this paper, the use of a Sanathanan-Koerner iteration [4] is proposed to alleviate the bias. Based on an initial (iteration step 0) or previous (iteration step t ¡ 1) estimate of the poles, the model parameters of the next iteration step are calculated by minimizing the weighted linear cost function arg min cp;c~p à ... WebOct 1, 2024 · In a recent formulation of the Sanathanan- Koerner iteration, an orthogonal basis is obtained using the Arnoldi iteration significantly improving the conditioning and … WebThis paper analyses one of the techniques [vector fitting (VF)] within a general iterative least-squares scheme that also explains the relation with the polynomial-based Sanathanan-Koerner iteration. thick curly hair men products