Title : 
On Parameter Estimation of Damped Sinusoids
         
        
        
            Author_Institution : 
Sch. of Eng., Univ. of Western Sydney, Penrith, NSW
         
        
        
        
        
        
            Abstract : 
This paper revisits the parameter estimation of (complex) damped sinusoids by presenting (1) a theoretical analysis of the forward-backward linear prediction (FB-LP) and (2) the correct development of the asymptotic Cramer-Rao bound (CRB) based on a continuous observation within a finite duration. It is shown, both experimentally and theoretically, that FB-LP does not improve (FO-)LP in terms of estimation accuracy and computational load, for all the situations considered in this paper. The asymptotic CRB is not achievable but provides the best accuracy bound due to over-sampling
         
        
            Keywords : 
parameter estimation; prediction theory; signal sampling; CRB; FB-LP; asymptotic Cramer-Rao bound; damped sinusoids; forward-backward linear prediction; over-sampling; parameter estimation; Amplitude estimation; Australia; Biomedical imaging; Damping; Frequency estimation; Noise level; Parameter estimation; Polynomials; Speech processing; System identification;
         
        
        
        
            Conference_Titel : 
TENCON 2006. 2006 IEEE Region 10 Conference
         
        
            Conference_Location : 
Hong Kong
         
        
            Print_ISBN : 
1-4244-0548-3
         
        
            Electronic_ISBN : 
1-4244-0549-1
         
        
        
            DOI : 
10.1109/TENCON.2006.343746