Title :
Polyphase sequence with low autocorrelations
Author :
Zhang, N. ; Golomb, S.W.
Author_Institution :
Pacific Bell, San Ramon, CA, USA
fDate :
5/1/1993 12:00:00 AM
Abstract :
It is proved that Golomb sequences have perfect periodic autocorrelation. It is also proved that the magnitudes of the out-of-phase aperiodic autocorrelation values of Golomb sequences of length L for all L⩾14 are bounded by √(L /3). It is shown that Bg(L) is asymptotic to √(L/c) (where c≈4.348. . .), as L goes to infinity
Keywords :
binary sequences; correlation theory; Golomb sequences; asymptotic equality; out-of-phase aperiodic autocorrelation; perfect periodic autocorrelation; polyphase sequence; Autocorrelation; Binary sequences; Multiaccess communication; Notice of Violation; Radar applications;
Journal_Title :
Information Theory, IEEE Transactions on
