Families of Sequence Pairs with Zero Correlation Zone

Binary Zero Correlation Zone Sequence Pair Set Constructed from Difference Set Pairs

“…From (7) and (8), the correlation property between arbitrary two sequence pairs (f r ,g r ) and (f s ,g s ) in the set {(f r ,g r )}is following: (10,9,8,7,6,5,4,3). By (7), an orthogonal sequence pair set {(f r ,g r )} 7 0 = r with length 12 from sequence pair (w,t) is constructed , including 8 sequence pairs such as (f 0 , g 0 ) and (f 1 , g 1 ) with f 0 = (-++---------), g 0 = (-++-+-+-+-+-) and f 1 = (--++--------), g 1 = (+-++-+-+-+--), "+" and "-" denoting +1 and -1 respectively.…”

A ternary zero-correlation zone sequence sets construction procedure

“…Although binary ZCZ sequences facilitate hardware construction, they are not optimal. In fact, the bound is even tighter for binary ZCZ sequences: Z 0 ≤N / 2M [9]. In order to overcome this difficulty, ternary sequences ZCZ were introduced and various construction methods were proposed.…”

Construction of Optimal Mismatched Periodic Sequence Sets With Zero Correlation Zone

“…Recently, zero correlation zone (ZCZ) sequences have attracted much attention for applications in quasi-synchronous CDMA (QS-CDMA) systems [2]- [5]. Unlike traditional synchronous CDMA, and asynchronous CDMA (A-CDMA) systems, relative time delay between different users in QS-CDMA systems is restricted within a few chips.…”

“…A sequence set is called an optimal ZCZ sequence set, if the three parameters , Z satisfy the above formula with equality. So far, the constructions of known ZCZ set are normally based on complementary sequences [3] or perfect sequences [4], [5]. Nevertheless, the binary ZCZ sequence families from the complementary sequences are far away from the theoretical bound, whose ratio is about 1/2 except for a few special cases.…”

“…Nevertheless, the binary ZCZ sequence families from the complementary sequences are far away from the theoretical bound, whose ratio is about 1/2 except for a few special cases. It should be noted that binary perfect sequences are known only for length 4, so nonbinary perfect sequences are normally used to construct near-optimal [4] and optimal ZCZ sequences [5]. Systematic methods for synthesizing optimal ternary sequences with high energy efficiency have been found for period , where is the power of a prime number and is an integer number [1].…”