A DFT‐Based Algorithm for n‐Order Singular State Space Systems

Article type: Research Article

Authors: Antoniou, George E.

Affiliations: Image Processing and Systems Laboratory, Department of Computer Science, Montclair State University, Montclair, N.J 07043 USA, e‐mail: george.antoniou@montclair.edu

Note: [] Research supported by Margaret and Herman Sokol Faculty Fellow Award and MSU2002 FSIP.

Abstract: The discrete Fourier transform (DFT) is used for determining the coefficients of a transfer function for n‐order singular linear systems, Ex(n)=Σi=1nAix(n−1)+Bu, where E may be singular. The algorithm is straight forward and easily can be implemented. Three step‐by‐step examples illustrating the application of the algorithm are presented.

Keywords: n‐order singular systems, generalized systems, state space, transfer function, Fourier transform

Journal: Informatica, vol. 14, no. 4, pp. 421-430, 2003