Let the orthogonal multiplicity of a monic polynomial g over a field % be the number of polynomials f over %, coprime to g and of degree less than that of g, such that all the partial quotients of the continued fraction expansion of f/g are of degree 1. Polynomials with positive orthogonal multiplic
Multiple input orthogonal polynomial parameter estimation
β Scribed by H. Van der Auweraer; J. Leuridan
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 939 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0888-3270
No coin nor oath required. For personal study only.
β¦ Synopsis
The object of this paper is the development of a so-called global modal parameter estimation technique capable of analysing frequency response functions (FRFs) between several input and response stations simultaneously.
The technique analyses the FRFs in their natural domain, the frequency domain. Highly consistent estimates of all modal parameters, including repeated modes, can be obtained. The effect of modes outside the analysis band can also be accounted for by explicitly locating these modes, by including residual terms, or by a combination of both.
The use of orthogonal polynomials improves the numerical properties of the calculation procedure. It also reduces the order of the identification problem. All pertinent equations have a size which is proportional to the number of modes in the data, and are independent of the number of response and input stations for which data are analysed simultaneously.
As a consequence, the technique lends itself readily to implementation with microcomputers. H. VAN IIER AUWERAER ANI) J. l.kURIIlAN
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