Name
Title | ||
|---|---|---|
Realizing system poles identification on the unit disc based on Laguerre representations and hyperbolic metrics |
Abstract | ||
|---|---|---|
In a series of paper the authors proposed a new frequency-domain approach to identify poles in discrete-time linear systems. The discrete rational transfer function is represented in a rational Laguerre-basis, where the basis elements are expressed by powers of the Blaschke-function. This function can be interpreted as a congruence transform on the Poincar ' e unit disc model of the hyperbolic geometry. The identification of a pole is given as a hyperbolic transform of the limit of a quotient-sequence formed from the Laguerre-Fourier coefficients. In this paper the opportunities of reliably computing the poles are analyzed, and some algorithms are proposed for practical use. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1109/MED.2013.6608873 | Mediterranean Conference on Control and Automation |
Keywords | Field | DocType |
convergence,linear systems,frequency domain analysis,signal processing,stochastic processes,hafnium,transfer functions,geometry,measurement,hyperbolic geometry,estimation,fourier transforms | Frequency domain,Linear system,Laguerre polynomials,Mathematical analysis,Discrete frequency domain,Fourier transform,Hyperbolic geometry,Transfer function,Congruence (geometry),Mathematics | Conference |
ISSN | Citations | PageRank |
2325-369X | 2 | 0.53 |
References | Authors | |
2 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Alexandros Soumelidis | 1 | 12 | 6.69 |
| Jozsef Bokor | 2 | 97 | 31.76 |
| F. Schipp | 3 | 42 | 11.66 |