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On aperiodic and periodic complementary binary sequences

K. Feng, P. Jau-Shyong, Qing Xiang
1999 IEEE Transactions on Information Theory  
We give direct and recursive constructions for aperiodic and periodic complementary sequences. Using these constructions, many missing entries in the table of Bömer and Antweiler [4] can be filled.  ...  Later on, for their research into acoustic surface-wave devices, Tseng and Liu [20] considered aperiodic complementary sequences (ACS) with more than two sequences involved.  ...  periodic complementary sequences.  ... 
doi:10.1109/18.746823 fatcat:oa42hibtvbhbxbmd6kjou2kt6u

Construction of Periodic Complementary Multiphase Sequences Based on Perfect Sequences

Zhenyu Zhang, Fanxin Zeng, Guixin Xuan
2012 International Journal of Wireless and Microwave Technologies  
This paper provides a construction method of periodic complementary multiphase sequences. The proposed method is based on perfect sequences possessing ideal periodic auto-correlation properties.  ...  Compared with the known periodic complementary binary sequences, the presented periodic complementary multiphase sequences may obtain much more lengths of element sequences, which will assure that the  ...  Based on the idea of complementary pairs, binary and multiphase complementary sequence sets where the number of element sequences was not limited to be equal to 2 were investigated in [4] [5] , respectively  ... 
doi:10.5815/ijwmt.2012.04.10 fatcat:3gz5rmwrjrbr3o5zod3hhfuszi

Multifaceted roles of complementary sequences on circRNA formation

Qin Yang, Ying Wang, Li Yang
2017 Quantitative Biology  
Results: In this mini-review, we discuss our current understanding of circRNA biogenesis regulation, mainly focusing on the complex regulation of complementary sequences, especially Alus in human, on circRNA  ...  Conclusions: Back-splicing can be significantly facilitated by RNA pair formed by orientation-opposite complementary sequences that juxtapose flanking introns of circularized exon(s).  ...  (B) Orientation-opposite complementary sequences on circRNA biogenesis.  ... 
doi:10.1007/s40484-017-0112-7 fatcat:gklzxs5dcveppp2zunutt2xkku

Universal Generator for Complementary Pairs of Sequences Based on Boolean Functions [article]

Srdjan Budišin, Predrag Spasojević
2013 arXiv   pre-print
We present a general algorithm for generating arbitrary standard complementary pairs of sequences (including binary, polyphase, M-PSK and QAM) of length 2^N using Boolean functions.  ...  As a special case, it reduces to the non-recursive (direct) algorithm for generating binary sequences given by Golay, to the algorithm for generating M-PSK sequences given by Davis and Jedwab (and later  ...  On the other hand, it is the least known form because it does not resemble any previous notation used for representing complementary sequences.  ... 
arXiv:1311.4782v1 fatcat:bhjfonksh5b6jgocbg2fq77orq

A new restriction on the lengths of golay complementary sequences

Shalom Eliahou, Michel Kervaire, Bahman Saffari
1990 Journal of combinatorial theory. Series A  
In this note, we obtain a further restriction on the possible length of Golay complementary sequences, which is quite stronger than condition number (3) above. THEOREM.  ...  The simplest example of Golay complementary sequences (of length > 1) is A=(l, 1) B=(l, -1).  ... 
doi:10.1016/0097-3165(90)90046-y fatcat:p2b6c464fvfb3bvubvrt7t4ivq

Complementary sequences for ISI channel estimation

P. Spasojevic, C.N. Georghiades
2001 IEEE Transactions on Information Theory  
For even , we show that complementary sequences not only minimize the merit factor, but also the CRLB.  ...  For a subset of odd we construct almost-complementary periodic sequence pairs that minimize the merit factor.  ...  An example of such sequences are Golay complementary sequences [14] .  ... 
doi:10.1109/18.915670 fatcat:i7rxivotoveindrft2bi7iyeyy

Hairpin Bisulfite Sequencing: Synchronous Methylation Analysis on Complementary DNA Strands of Individual Chromosomes [chapter]

Pascal Giehr, Jörn Walter
2017 Msphere  
Several years ago Hairpin Bisulfite sequencing was developed as a method to obtain the pattern information on complementary DNA strands.  ...  As a result one ends up with a linearized product, which contains the methylation information of both complementary DNA strands.  ...  Introduction Hairpin Bisulfite Sequencing (HBS) is a method to detect DNA methylation on both complementary DNA strands of individual DNA molecules [1] .  ... 
doi:10.1007/978-1-4939-7481-8_29 pmid:29224164 fatcat:3vxbw3urenawzlzhh2hxksgm5e

Further results on ternary complementary sequences, orthogonal designs and weighing matrices

Christos Koukouvinos, Dimitris E. Simos
2011 The Australasian Journal of Combinatorics  
Infinite families of orthogonal designs, based on some weighing matrices of order 2n, weight 2n − k and spread σ, are constructed from two circulants matrices by using complementary sequences of zero non-periodic  ...  A set of sequences is complementary, if the sum of their periodic or nonperiodic autocorrelation function is zero.  ...  Since the construction of Theorem 3 requires that the spread of two initial sequences is equal to the length of the ternary complementary pair we pad the previously constructed TCP with one additional  ... 
dblp:journals/ajc/KoukouvinosS11 fatcat:s5wbglxsobe7fcmi47pwp7npme

Bandwidth efficient multi-station wireless streaming based on complete complementary sequences

Chadi Khirallah, Vladimir Stankovic, Lina Stankovic, Yang Yang, Zixiang Xiong
2009 IEEE Transactions on Wireless Communications  
Results obtained show 1.75 Mchip/sec (or 25%) reduction in transmission rate, with only up to 6 dB loss in frequency-selective channel compared to a straightforward solution based solely on complete complementary  ...  Downloaded on July 06,2010 at 11:41:54 UTC from IEEE Xplore. Restrictions apply.  ...  for any shift (each of these two sets is called 'cross-complementary sequence of order N ').  ... 
doi:10.1109/twc.2009.070958 fatcat:by7i7weecnhk7okryrnpel4ovi


A. G. Holubnychyi
2018 Electronics and Control Systems  
The similar multiplicative complementary sequences, which based on generalized binary Barker sequences, also exist.  ...  Among different signals that have been designed for these techniques, Golay complementary sequences are well known signal constructions, which are additive complementary sequences in terms of the nature  ...  Spectral characteristics of considered Golay complementary sequences (on the left -sequence a, on the right -sequence b) Fig. 3 . 3 Fig. 3.  ... 
doi:10.18372/1990-5548.58.13505 fatcat:krvs5gqvgzcb5g2nrsam7lgcla

Asymptotically Optimal and Near-optimal Aperiodic Quasi-Complementary Sequence Sets Based on Florentine Rectangles [article]

Avik Ranjan Adhikary, Yanghe Feng, Zhengchun Zhou, Pingzhi Fan
2020 arXiv   pre-print
Quasi-complementary sequence sets (QCSSs) can be seen as a generalized version of complete complementary codes (CCCs), which enables multicarrier communication systems to support more users.  ...  [15] designed low correlation zone complementary sequence sets (LCZ-CSSs) in 2011.  ...  The concept of QCSS also includes Z-complementary sequence sets (ZCSSs) [17] - [23] .  ... 
arXiv:2010.11070v1 fatcat:avdrthvmbzfqjpezczmt6zjkey

Research on the Constructions of Zero Correlation Zone Aperiodic Complementary Sequence Sets

Xiaoyu Chen, Guanmin Li, Huanchang Li
2019 IET Communications  
Based on aperiodic complementary sequence (ACS) sets and orthogonal matrices, construction 1 proposed ZACS sets by utilising cascade operation.  ...  Two constructions of zero correlation zone (ZCZ) aperiodic complementary sequence (ZACS) sets are presented.  ...  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.  ... 
doi:10.1049/iet-com.2019.0599 fatcat:55xkh4qg2rfw5pxgarxz52zyja

Research on PDMA system based on complementary sequence and low complexity detection algorithm

Shufeng Li, Baoxin Su, Libiao Jin, Yao Sun, Zhiping Xia
2021 IET Communications  
Poly complementary sequence (PCS) spread spectrum coding is performed on the transmission codebook in order to improve the transmission accuracy.  ...  In this paper, a framework of PDMA video transmission system based on H.264 video compression coding (HVC-PDMA) is proposed.  ...  ) etc. also constitute complementary sequences.  ... 
doi:10.1049/cmu2.12303 fatcat:ay2voxgoqva2fnkda4ikpp33oy

A new construction of 16-QAM golay complementary sequences

Chan Vee Chong, R. Venkataramani, V. Tarokh
2003 IEEE Transactions on Information Theory  
Index Terms-Golay complementary sequences, orthogonal frequency-division multiplexing (OFDM), Reed-Muller codes.  ...  We present a new construction of 16-QAM Golay sequences of length = 2 . The number of constructed sequences is (14 + 12 )( ! 2)4 +1 .  ...  Unfortunately, these sequences were difficult to classify based on their polynomial structure.  ... 
doi:10.1109/tit.2003.818418 fatcat:m4qersuobbf4ve6m2eklreia3m

Crest factors of complementary-sequence-based multicode mc-cdma signals

Byoung-Jo Choi, L. Hanzo
2003 IEEE Transactions on Wireless Communications  
More specifically, a complementary-sequence pair, a complementary-sequence-based subcomplementary code pair, and a Sivaswamy's complementary code set are studied.  ...  The crest factor properties of binary phase-shift keying modulated two-and four-code assisted multicarrier code-division multiple-access (MC-CDMA) employing complementary-sequence-based spreading sequences  ...  code-based subcomplementary pair and one of Sivaswamy's complementary sets, were shown to be bounded by 3 dB, regardless of the sequence length.  ... 
doi:10.1109/twc.2003.819040 fatcat:mfa3o5mrv5dx7bcqquljkqgdh4
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