Title : 
A technique for extracting the poles and residues of a system directly from its transient response
         
        
            Author : 
Van Blaricum, Michael L. ; Mittra, Raj
         
        
            Author_Institution : 
University of Illinois, Urbana, IL, USA
         
        
        
        
        
            fDate : 
11/1/1975 12:00:00 AM
         
        
        
        
            Abstract : 
A novel approach for systematically deriving the complex poles and residues of a structure from a set of time-domain data is presented. The method is based on Prony\´s algorithm which involves the inversion of two matrices and a solution of the zeros of an 

 th degree polynomial, 

 being the number of desired poles. Two numerical examples are presented and several numerical advantages of this method are discussed.
 
        
            Keywords : 
Electromagnetic (EM) transient analysis; Singularity expansion methods; Data mining; Electromagnetic scattering; Electromagnetic transients; Frequency; Helium; Nonlinear equations; Poles and zeros; Polynomials; Time domain analysis; Transient response;
         
        
        
            Journal_Title : 
Antennas and Propagation, IEEE Transactions on
         
        
        
        
        
            DOI : 
10.1109/TAP.1975.1141184