Title
Realizing system poles identification on the unit disc based on the Fourier trasform of Laguerre-coefficients
Abstract
This paper proposes a new method of identification of the poles in a discrete linear system from frequency domain data. The discrete rational transfer function is represented in a rational Laguerre basis, where the basis elements can be expressed by powers of the Blaschke-function. Laguerre coefficients are considered as a sum of oscillating signals what gives the opportunity to estimate the number and place of poles of the system by the Fourier trasform of the Laguerre-coefficients. The behavior of the method is analyzed in the presence of noise in the measurements and an example is presented as an illustration of the full procedure.
Year
DOI
Venue
2015
10.1109/MED.2015.7158847
Control and Automation
Keywords
Field
DocType
Fourier transforms,signal processing,stochastic processes,transfer functions,Blaschke-function,Fourier transform,Laguerre-coefficients,discrete linear system,discrete rational transfer function,frequency domain data,rational Laguerre basis,system poles identification,unit disc,Identification,Linear systems
Discrete-time Fourier transform,Non-uniform discrete Fourier transform,Fourier analysis,Laguerre polynomials,Mathematical analysis,Discrete Fourier series,Discrete frequency domain,Discrete Fourier transform (general),Discrete Fourier transform,Mathematics
Conference
ISSN
Citations 
PageRank 
2325-369X
0
0.34
References 
Authors
2
2
Name
Order
Citations
PageRank
Istvan Gozse122.11
Alexandros Soumelidis2126.69