Title : 
Spectral Properties of the Thue-Morse Sequence
         
        
            Author : 
Yarlagadda, Rao ; Hershey, John E.
         
        
            Author_Institution : 
Oklahoma State Univ., Stillwater, OK, USA
         
        
        
        
        
            fDate : 
8/1/1984 12:00:00 AM
         
        
        
        
            Abstract : 
The Thue-Morse sequence (TMS) has been proposed as a vehicle for effecting comma-free synchronization. The purpose of this correspondence is twofold. First, we present and examine an expression which describes the TMS power spectral density. Second, we consider the autocorrelation of the TMS sequence and cast it as a random process.
         
        
            Keywords : 
Sequences; Autocorrelation; Counting circuits; Density functional theory; Digital communication; Fading; Notice of Violation; Random processes; Scattering; Vehicles; Velocity measurement;
         
        
        
            Journal_Title : 
Communications, IEEE Transactions on
         
        
        
        
        
            DOI : 
10.1109/TCOM.1984.1096162