Title : 
Estimating the critical number of slave nodes in a single-chain PLL network
         
        
            Author : 
Monteiro, Luiz Henrique Alves ; Dos Santos, Rodrigo Vieira ; Piqueira, José Roberto Castilho
         
        
            Author_Institution : 
Univ. Presbiteriana Mackenzie, Sao Paulo, Brazil
         
        
        
        
        
        
        
            Abstract : 
The existence and stability conditions for the synchronous state in telecommunication networks with single-chain master-slave clock distribution architecture are determined. The slave nodes are modeled as first-order phase-locked loops (PLLs) and the signal processing and propagation delays are taken into account. We analytically show that if the number of slaves exceeds a critical value, synchronization is unreachable.
         
        
            Keywords : 
clocks; delays; digital communication; phase locked loops; stability; telecommunication networks; PLL; digital telecommunication networks; existence conditions; first-order phase-locked loops; propagation delays; signal processing; single-chain PLL network; single-chain master-slave clock distribution architecture; slave nodes estimation; stability conditions; synchronization; synchronous state; telecommunication networks; Clocks; Frequency synchronization; Intelligent networks; Master-slave; Oscillators; Phase locked loops; Propagation delay; Stability; Synchronous digital hierarchy; Telecommunication control;
         
        
        
            Journal_Title : 
Communications Letters, IEEE
         
        
        
        
        
            DOI : 
10.1109/LCOMM.2003.817322