12 research outputs found
A Systematic Framework for the Construction of Optimal Complete Complementary Codes
The complete complementary code (CCC) is a sequence family with ideal
correlation sums which was proposed by Suehiro and Hatori. Numerous literatures
show its applications to direct-spread code-division multiple access (DS-CDMA)
systems for inter-channel interference (ICI)-free communication with improved
spectral efficiency. In this paper, we propose a systematic framework for the
construction of CCCs based on -shift cross-orthogonal sequence families
(-CO-SFs). We show theoretical bounds on the size of -CO-SFs and CCCs,
and give a set of four algorithms for their generation and extension. The
algorithms are optimal in the sense that the size of resulted sequence families
achieves theoretical bounds and, with the algorithms, we can construct an
optimal CCC consisting of sequences whose lengths are not only almost arbitrary
but even variable between sequence families. We also discuss the family size,
alphabet size, and lengths of constructible CCCs based on the proposed
algorithms
Golay Complementary Sequences Over the QAM Constellation
In this paper, we present new constructions for
-QAM and - Golay complementary sequences of length
for integer , where for integer . New
decision conditions are proposed to judge whether an offset pairs
can be used to construct the Golay complementary sequences over
constellation, and with the new decision conditions, we prove the
conjecture 1 proposed by Ying Li~\cite{16}. We describe a new offset
pairs and construct new - Golay sequences based on this new
offset pairs. We also study the - Golay complementary
sequences, and propose a new decision condition to judge whether the
sequences are - Golay complementary