Research On The Consteuction Of ZCZ Complementary Sequence Sets

Complementary sequences have attracted much attention in sequence design because of their ideal self-correlation.It can be widely used in modern communication systems,For example,in the multi-carrier code division multiple access system,the complementary sequence with good performance can not only eliminate the multipath interference and multiple access interference,but also solve the peak-to-average power ratio problem in the system and ensure the higher information transmission rate and spectrum utilization rate.This paper takes the construction of complementary sequence set as the core.And the construction of zero-correlation-zone complementary sequence sets and inter-group complementary sequence sets are studied in this paper,which can provide rich spread spectrum address code for multi-carrier code division multiple access system.Firstly,a construction method of Gaussian integer periodic zero-correlation-zone complementary sequence set is proposed.Based on cyclotomic classes and shift sequence,a class of Gaussian integer periodic zero-correlation-zone complementary sequence sets are obtained,which can reach the theoretical limit.Compared with the existing methods,the proposed method can not only provide more sequences,but also increase the number of subsequences of complementary sequences.This chapter provides a new method for constructing the ZPCS sequence sets and enriches the research results of Gaussian integer ZPCS sequence sets.Secondly,a construction method of periodic inter-group complementary sequence sets is proposed.First of all,a class of new shift sequence is proposed.Based on the new shift sequence,a new set of periodic inter-group complementary sequences can be obtained by interleaved technique.The parameters of the sequence set can reach the theoretical limit under certain conditions.Finally,two classes of zero-correlation-zone aperiodic complementary sequence sets are proposed.In the first method,based on orthogonal matrix and orthogonal sequence set,a construction method of zero-correlation-zone aperiodic complementary sequence sets was proposed.Among the sequence sets,the order of the orthogonal sequence set is a multiple of the order of the orthogonal matrix.The parameter of the obtained sequence sets can reach the theoretical limit.In the second method,a construction method of zero-correlation-zone aperiodic complementary sequence set was proposed.This method extends the selection range of the length of the zero-correlation-zone,generates new parameter of ZACS set and provides more ZCZ aperiodic complementary sequence sets for multi-carrier code division multiple access systems.