Title :
Investigation of a family of M-sequences
Author_Institution :
Graduate Sch., Chongqing Commun. Inst., China
Abstract :
A family of binary M-sequences, called primitive M-sequences, is investigated in two categories. One of the categories, autocorrelation function C(τ) of primitive M-sequences of order n is discussed, we present that C(n+1)=-4 or 0 or 4, and some other autocorrelation values for that n+1<τ<2n. Another, properties of primitive M-sequences are studied, we present the reciprocal equivalent property of primitive M-sequences, that is, the reciprocal primitive M-sequence pair has the same autocorrelation values, linear span and that components of one of the two sequences are exactly inversion of ones of another.
Keywords :
code division multiple access; correlation methods; m-sequences; spread spectrum communication; CDMA; M-sequence reciprocal equivalent property; autocorrelation function; binary M-sequence family; m-sequence; reciprocal primitive M-sequence pair; spread spectrum system; spreading sequence; Artificial intelligence; Autocorrelation; Equations; Feedback; Polynomials; Random sequences; Shift registers;
Conference_Titel :
Communications, 2003. APCC 2003. The 9th Asia-Pacific Conference on
Print_ISBN :
0-7803-8114-9
DOI :
10.1109/APCC.2003.1274445
