Title : 
MUSIC, G-MUSIC, and Maximum-Likelihood Performance Breakdown
         
        
            Author : 
Johnson, Ben A. ; Abramovich, Yuri I. ; Mestre, Xavier
         
        
            Author_Institution : 
Inst. for Telecommun. Res., Univ. of South Australia, Mawson Lakes, SA
         
        
        
        
        
        
        
            Abstract : 
Direction-of-arrival estimation performance of MUSIC and maximum-likelihood estimation in the so-called ldquothresholdrdquo area is analyzed by means of general statistical analysis (GSA) (also known as random matrix theory). Both analytic predictions and direct Monte Carlo simulations demonstrate that the well-known MUSIC-specific ldquoperformance breakdownrdquo is associated with the loss of resolution capability in the MUSIC pseudo-spectrum, while the sample signal subspace is still reliably separated from the actual noise subspace. Significant distinctions between (MUSIC/G-MUSIC)-specific and MLE-intrinsic causes of ldquoperformance breakdown,rdquo as well as the role of ldquosubspace swaprdquo phenomena, are specified analytically and supported by simulation.
         
        
            Keywords : 
Monte Carlo methods; array signal processing; direction-of-arrival estimation; matrix algebra; maximum likelihood estimation; random processes; G-MUSIC; MUSIC pseudo-spectrum; Monte Carlo simulations; actual noise subspace; drection-of-arrival estimation; general statistical analysis; maximum-likelihood estimation; maximum-likelihood performance breakdown; random matrix theory; Australia; Covariance matrix; Electric breakdown; Maximum likelihood detection; Maximum likelihood estimation; Multiple signal classification; Performance analysis; Signal analysis; Signal resolution; Statistical analysis; Array signal processing; G-estimation; generalized likelihood-ratio tests; signal detection and estimation;
         
        
        
            Journal_Title : 
Signal Processing, IEEE Transactions on
         
        
        
        
        
            DOI : 
10.1109/TSP.2008.921729