Geodesic
An algorithm for nonharmonic signal analysis using Dirichlet series on convex polygons
Electronic transactions on numerical analysis, Tome 14 (2002), pp. 45-55
Zbl   EuDML
This article presents a new algorithm for nonharmonic signal analysis using Dirichlet series e$\lambda z$ f (z) = $\kappa f (\lambda )$ , z $\in D$ L $(\lambda ) \lambda \in \Lambda $on a convex polygon D as a generalization of Fourier series. Here L denotes a quasipolynomial whose set of zeros $\Lambda $generates a Riesz basis $E(\Lambda )$ := e$\lambda z$ of the Smirnov space $E2(D)$. The algorithm is based on a simple L $(\lambda ) \lambda \in \Lambda $form of L and on numerical properties of the dual basis of E $(\Lambda )$.
Classification : 42C15, 30B50, 37M10
Keywords: nonharmonic Fourier series, Dirichlet series, signal analysis, time series analysis 
Forster,  Brigitte. An algorithm for nonharmonic signal analysis using Dirichlet series on convex polygons. Electronic transactions on numerical analysis, Tome 14 (2002), pp. 45-55. http://geodesic.mathdoc.fr/item/ETNA_2002__14__a9/
@article{ETNA_2002__14__a9,
     author = {Forster,  Brigitte},
     title = {An algorithm for nonharmonic signal analysis using {Dirichlet} series on convex polygons},
     journal = {Electronic transactions on numerical analysis},
     pages = {45--55},
     year = {2002},
     volume = {14},
     zbl = {1020.94003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2002__14__a9/}
}
TY  - JOUR
AU  - Forster,  Brigitte
TI  - An algorithm for nonharmonic signal analysis using Dirichlet series on convex polygons
JO  - Electronic transactions on numerical analysis
PY  - 2002
SP  - 45
EP  - 55
VL  - 14
UR  - http://geodesic.mathdoc.fr/item/ETNA_2002__14__a9/
LA  - en
ID  - ETNA_2002__14__a9
ER  - 
%0 Journal Article
%A Forster,  Brigitte
%T An algorithm for nonharmonic signal analysis using Dirichlet series on convex polygons
%J Electronic transactions on numerical analysis
%D 2002
%P 45-55
%V 14
%U http://geodesic.mathdoc.fr/item/ETNA_2002__14__a9/
%G en
%F ETNA_2002__14__a9