Thesis (PhD) -- Stellenbosch University, 2001. / ENGLISH ABSTRACT: A robust and efficient adaptive sampling algorithm for multivariate, multiple output rational
interpolation models, based on convergents of Thiele-type branched continued fractions, is
presented. A variation of the standard branched continued fraction method is proposed that uses
approximation to establish a non-rectangular grid of support points. Starting with a low order
interpolant, the technique systematically increases the order by optimally choosing new support
points in the areas of highest error, until the desired accuracy is achieved. In this way, accurate
surrogate models are established by a small number of support points, without assuming any a
priori knowledge of the microwave structure under study. The technique is illustrated and
evaluated on several passive microwave structures, however it is general enough to be applied to
many modelling problems. / AFRIKAANSE OPSOMMING: 'n Robuuste en effektiewe aanpasbare monsternemingsalgoritme vir multi-veranderlike, multi-uittree
rasionale interpolasiemodelle, gegrond op konvergente van Thiele vertakte volgehoue
breukuitbreidings, word beskryf. 'n Variasie op die konvensionele breukuitbreidingsmetode word
voorgestel, wat 'n nie-reghoekige rooster van ondersteuningspunte gebruik in die
funksiebenadering. Met 'n lae orde interpolant as beginpunt, verhoog die algoritme stelselmatig die
orde van die interpolant deur optimaal verbeterde ondersteuningspunte te kies waar die grootste fout
voorkom, totdat die gewensde akuraatheid bereik word. Hierdeur word akkurate surrogaat modelle
opgebou ten spyte van min inisiele ondersteuningspunte, asook sonder voorkennis van die
mikrogolfstruktuur ter sprake. Die algoritme word gedemonstreer en geevalueer op verskeie
passiewe mikrogolfstrukture, maar is veelsydig genoeg om toepassing te vind in meer algemene
modelleringsprobleme.
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:sun/oai:scholar.sun.ac.za:10019.1/8360 |
| Date | 12 1900 |
| Creators | Lehmensiek, Robert |
| Contributors | Meyer, P., University of Stellenbosch. Faculty of Engineering. Dept. of Electrical and Electronic Engineering, University of Stellenbosch. Faculty of Engineering. Dept. of Electrical and Electronic Engineering., Jacobs, Ivan |
| Publisher | Stellenbosch : Stellenbosch University |
| Source Sets | South African National ETD Portal |
| Language | en_ZA |
| Detected Language | Unknown |
| Type | Thesis |
| Format | 57 p. : ill. |
| Rights | Stellenbosch University |
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