Title : 
Statistics of the First-Order Phase-Locked Loop with Fluctuating Signal Amplitude
         
        
        
            Author_Institution : 
Naval Postgraduate School, Monterey, CA
         
        
        
        
        
            fDate : 
10/1/1978 12:00:00 AM
         
        
        
        
            Abstract : 
The phase error probability density of the first-order phase-locked loop is determined when the signal amplitude has a wideband noise component. The problem is solved using the Fokker-Planck equation. Use is made of the "correction term" for conversion from ordinary calculus to the Ito calculus model. Serious errors in previously published works are pointed out.
         
        
            Keywords : 
PLLs; Phase-locked loop (PLL); Calculus; Equations; Frequency measurement; Impedance measurement; Indium tin oxide; Loss measurement; Phase locked loops; Propagation losses; Statistics; Viterbi algorithm;
         
        
        
            Journal_Title : 
Communications, IEEE Transactions on
         
        
        
        
        
            DOI : 
10.1109/TCOM.1978.1093986