ZCZ Aperiodic Complementary Sequence Sets With Low Column Sequence PMEPR

Abstract

In this letter, zero-correlation zone (ZCZ) aperiodic complementary sequence (ZACS) sets with low column sequence peak-to-mean envelope power ratio (PMEPR) are introduced. Based on Golay sequences with large zero autocorrelation zone and orthogonal matrix, a class of ZACS sets are constructed. When each sequence is arranged to be a matrix, the PMEPR of column sequence is at most 2.Index Terms-ZACS (ZCZ aperiodic complementary sequence), column sequence, PMEPR (peak-to-mean envelope power ratio). 1558-2558

Two constructions of zero correlation zone aperiodic complementary sequence sets

“…In [13], the ratio of matrix order to ZCZ length is limited to prime p or p n . In [14], ZACS sets with low column sequence PMEPR are constructed. Unfortunately, the parameters of the resulting sets are not optimal.…”

“…Recently, the ZACS sets have been investigated in the literature [9][10][11][12][13][14][15][16]. In [9], the binary ZACS sets were extended to quaternary ZACS sets based on the inverse grey mapping.…”

“…However, the ratio of matrix order to ZCZ length is limited to prime p or p n . The ZACS sets with low column sequence peak-to-mean envelope power ratio (PMEPR) were presented [14] by utilising Golay sequences with large zero autocorrelation zone and orthogonal matrix. A class of aperiodic inter-group complementary (IGC) sequence sets was proposed based on binary and polyphase orthogonal matrices [15], which is a special case of ZACS sequence sets.…”

New Construction of Z-Complementary Code Sets and Mutually Orthogonal Complementary Sequence Sets

“…The second is based on the construction of the Z-paraunitary matrices (ZPU) and unitary matrices [27], [28], this construction depends on the existence of the ZPU and unitary matrix. The third is based on GCP and Z-complementary pair (ZCP), which can be referred to [29], [30].…”

Z-Complementary Code Sets With Flexible Lengths From Generalized Boolean Functions

“…The ZCP is an extension of the GCP and also has the good PAPR property [34]- [39]. The low PAPR property of the ZCCS was also investigated in [28], [33], [40].…”