Zero Correlation Zone Sequence Sets over the 8-QAM+ Constellation

Constructing Longer Sequences Using a New Improved Interleaved Structure

“…For example, some binary sequences defined on {0, 1} [6] [called as (0, 1) binary sequence], some other binary sequences defined on {1, −1} [called as (1, −1) binary sequences], ternary sequences take only three values {1, 0, −1} [2], q-ary sequences are usually defined on a q-size alphabet with selected complex values [3,5].…”

“…If sequences x and y are (1, −1) binary sequences, ternary sequences, or sequences over QAM constellation, the periodic cross-correlation function between sequence x and y is defined as (1) [5]:…”

“…2. Organize the collection S into a n× p matrix S using sequence s i as its i-th row, as shown in (5).…”

“…Many sequence set construction methods have been proposed in the literature, such as [2][3][4][5]. In [2], a ternary ZCZ sequence set construction method based on mutually orthogonal (MO) complementary sets was proposed and tested in UWB transmission.…”

“…The method in [4] constructs sequence set from an arbitrary perfect sequence with period equal to the product of a pair of odd integers. In [5], the authors proposed two methods for constructing ZCZ sequence sets over the 8-QAM+ constellation based on ternary perfect sequences. In these methods, sequence sets are generated from one single sequence or a set of sequences with some required properties.…”