Title :
On correlation values of M-phase spreading sequences of Markov chains
Author :
Fujisaki, Hiroshi
Author_Institution :
Graduate Sch. of Natural Sci. & Technol., Kanazawa Univ., Ishikawa, Japan
fDate :
12/1/2002 12:00:00 AM
Abstract :
There has recently been intense interest in spreading sequences of Markov chains. It is experimentally found that the autocorrelation values of M-phase spreading sequences of some Markov chains always take real numbers. In this paper, we theoretically give a necessary and sufficient condition that the autocorrelation values of M-phase spreading sequences of Markov chains always take real numbers. We also discuss time synchronization using these sequences.
Keywords :
Markov processes; correlation theory; multi-access systems; pseudonoise codes; random sequences; spread spectrum communication; synchronisation; M-phase spreading sequences; Markov chains; asynchronous SSMA communication systems; autocorrelation values; correlation values; necessary sufficient condition; pseudonoise codes; real numbers; spread-spectrum multiple-access communication systems; time synchronization; Autocorrelation; Binary sequences; Chebyshev approximation; Communication systems; Feedback; Gold; Logistics; Piecewise linear techniques; Sufficient conditions; Vectors;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
DOI :
10.1109/TCSI.2002.805703
