An algorithm for nonharmonic signal analysis using dirichlet series on convex polygons

This article presents a new algorithm for nonharmonic signal analysis using Dirichlet series (Formula Presented) on a convex polygon D as a generalization of Fourier series. Here L denotes a quasipolynomial whose set of zeros Λ generates a Riesz basis E(Λ) :=(formula presented) of the Smirnov space E²(D). The algorithm is based on a simple form of L and on numerical properties of the dual basis of E(Λ).