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New Constructions of Zero-Correlation Zone Sequences

Yen-Cheng Liu, Ching-Wei Chen, Yu T. Su
2013 IEEE Transactions on Information Theory  
In this paper, we propose three classes of systematic approaches for constructing zero correlation zone (ZCZ) sequence families.  ...  In most cases, these approaches are capable of generating sequence families that achieve the upper bounds on the family size (K) and the ZCZ width (T) for a given sequence period (N).  ...  New Constructions of Zero-Correlation Zone Sequences Yen-Cheng Liu, Student Member, IEEE, Ching-Wei Chen, and Yu T.  ... 
doi:10.1109/tit.2013.2253831 fatcat:xsmm3zxcozhevjuspfh2wpln5m

Editorial: Special issue on sequences and their applications 2018

Tor Helleseth, Wai Ho Mow, Zhengchun Zhou
2020 Cryptography and Communications  
Sequence families with zero-correlation zone (ZCZ) have been extensively studied in recent years.  ...  The paper "Polyphase zero correlation zone sequences from generalised bent functions" by Dan Zhang, Matthew Parker and Tor Helleseth proposes a construction of polyphase ZCZ sequences based on generalised  ...  A new design for low hit zone frequency hopping sequences (FHS) with optimal partial Hamming correlation based on t-decimation of m-sequences is presented in the paper "Decimated m-sequences families with  ... 
doi:10.1007/s12095-020-00433-3 fatcat:adpkmfvchvfbnli2qgntjjt4ry

Optimized Punctured ZCZ Sequence-Pair Set: Design, Analysis, and Application to Radar System

Lei Xu, Qilian Liang
2010 EURASIP Journal on Wireless Communications and Networking  
Based on the zero correlation zone (ZCZ) concept, we present the definitions and properties of a set of new ternary codes, ZCZ sequence-Pair Set (ZCZPS), and propose a method to use the optimized punctured  ...  sequence-pair along with Hadamard matrix to construct an optimized punctured ZCZ sequence-pair set (OPZCZPS) which has ideal autocorrelation and cross-correlation properties in the zero correlation zone  ...  Acknowledgment This work was supported in part by the National Science Foundation under Grants CNS-0721515, CNS-0831902, CCF-0956438, CNS-0964713, and Office of Naval Research (ONR) under Grant N00014-  ... 
doi:10.1155/2010/254837 fatcat:g2ey6qvyqzbohas7tnjqrxmohe

An asymmetric ZCZ sequence set with inter-subset uncorrelated property and flexible ZCZ length

Longye Wang, Gaoyuan Zhang, Hong Wen, Xiaoli Zeng
2018 Advances in Mathematics of Communications  
In this paper, we propose a novel method for constructing new uncorrelated asymmetric zero correlation zone (UA-ZCZ) sequence sets by interleaving perfect sequences.  ...  Analytical results demonstrate that the UA-ZCZ sequence set proposed herein is optimal with respect to the upper bound of ZCZ sequence set.  ...  In order to overcome the above shortcoming, a new class of zero correlation zone (ZCZ) sequence set referred as asymmetric ZCZ (A-ZCZ) sequence set has recently been proposed [10, 4, 5, 12, 15, 14, 11  ... 
doi:10.3934/amc.2018032 fatcat:2akl4qzg2fgerjcqpvfhaly4tu

Spreading Sequence Design and Theoretical Limits for Quasisynchronous CDMA Systems

Pingzhi Fan
2004 EURASIP Journal on Wireless Communications and Networking  
set of spreading sequences which are mutually orthogonal within a designed shift zone, called orthogonal zone.  ...  In order to provide an alternative CDMA technology, Li proposed a set of large area (LA) ternary sequences and a set of loosely synchronous (LS) ternary sequences having generalized orthogonal zone (or  ...  sidelobes of aperiodic correlation functions, but with a GO zone Z o [42, 43, 44] .  ... 
doi:10.1155/s1687147204405015 fatcat:fy3lr6nlg5a5pe5tjcvf2f3nci

Cross Z-Complementary Pairs (CZCPs) for Optimal Training in Broadband Spatial Modulation Systems

Zilong Liu, Ping Yang, Yong Liang Guan, Pei Xiao
2020 2020 IEEE International Symposium on Information Theory (ISIT)  
Motivated by this research problem, we introduce a novel class of sequence pairs, called "cross Z-complementary pairs (CZCPs)", each displaying zero-correlation zone (ZCZ) properties for both their aperiodic  ...  A CZCP may be transmitted in two non-orthogonal SM channels and hence proper design should be conducted to minimize the cross-interference of the two constituent sequences.  ...  Pingzhi Fan at Southwest Jiaotong University for suggesting the terminology of "CZCP".  ... 
doi:10.1109/isit44484.2020.9173969 dblp:conf/isit/0001YGX20 fatcat:mhlfpar5ybgohmexks3wpduy5y

Low correlation zone sequences over finite fields and rings

Udaya Parampalli
2009 2009 Fourth International Workshop on Signal Design and its Applications in Communications  
Definition Given two complex sequences a = {a 0 , a 1 , . . . , a N −1 } and b = {b 0 , b 1 , . . . , b N −1 } of period N , we define the periodic cross-correlation between a and b as where ⋆ denotes  ...  Definition Given two complex sequences a = {a 0 , a 1 , . . . , a N −1 } and b = {b 0 , b 1 , . . . , b N −1 } of period N , we define the periodic cross-correlation between a and b as where ⋆ denotes  ...  M sequences of length M , with low correlation zone l cz and low correlation value ǫ.  ... 
doi:10.1109/iwsda.2009.5346401 fatcat:aetjc7kacfe3zdlmuq7dzzb7ya

MIMO ISI Channel Estimation Using Uncorrelated Golay Complementary Sets of Polyphase Sequences

Shuangquan Wang, Ali Abdi
2007 IEEE Transactions on Vehicular Technology  
, using uncorrelated Golay complementary sets of polyphase sequences 1 .  ...  This has been possible due to the special structures intrinsic to uncorrelated Golay complementary sets of polyphase sequences, which makes the proposed channel estimators ready to use in the practical  ...  Examples include a set of sequences with a zero correlation zone (ZCZ) [12] [13] [21] [22] and different phases of a perfect 3 polyphase sequence such as the Frank sequence [23] or Chu sequence  ... 
doi:10.1109/tvt.2007.899947 fatcat:7ewlfbbbdncsnkewtfnbh5li24

A Direct Construction of Prime-Power-Length Zero-Correlation Zone Sequences for QS-CDMA System [article]

Nishant Kumar, Sudhan Majhi, Palash Sarkar, A.K. Upadhyay
2021 arXiv   pre-print
In the recent years, zero-correlation zone (ZCZ) sequences have been studied broadly due to their significant application in quasi-synchronous code-division multiple access (QS-CDMA) systems.  ...  The constructed ZCZ sequence set is optimal for power of two length and asymptotically optimal for non power of two length.  ...  INTRODUCTION The zero-correlation zone (ZCZ) sequence sets are the sets which have ideal correlation properties, impulse-like auto-correlation, and zero cross-correlation functions in a specified zone,  ... 
arXiv:2111.06675v1 fatcat:w27tznmoaffu7f77uwssvxob3u

Theory of optimal orthonormal subband coders

P.P. Vaidyanathan
1998 IEEE Transactions on Signal Processing  
We also show how these conditions can be satisfied by the construction of a sequence of optimal compaction filters one at a time.  ...  In this paper, we derive a set of necessary and sufficient conditions for the coding-gain optimality of an orthonormal subband coder for given input statistics.  ...  We also show how these conditions can be satisfied by the construction of a sequence of optimal compaction filters one at a time.  ... 
doi:10.1109/78.678466 fatcat:vb5ekrfznbc6bgkuugxphzmdgu

Cross Z-Complementary Pairs for Optimal Training in Spatial Modulation over Frequency Selective Channels [article]

Zilong Liu, Ping Yang, Yong Liang Guan, Pei Xiao
2020 arXiv   pre-print
The contributions of this paper are twofold: Firstly, we introduce a novel class of sequence pairs, called "cross Z-complementary pairs (CZCPs)", each displaying zero-correlation zone (ZCZ) properties  ...  We show that our proposed SM training sequences derived from CZCPs lead to optimal channel estimation performance over frequency-selective channels.  ...  For sequence pairs with odd lengths, the best known alternative to GCPs is optimal odd-length binary Z-complementary pairs (OB-ZCPs) [14] each displaying the largest zero-correlation zone (ZCZ) width  ... 
arXiv:1909.10206v2 fatcat:2525docqefaejfl7idyfmoel34

HpGAN: Sequence Search with Generative Adversarial Networks [article]

Mingxing Zhang, Zhengchun Zhou, Lanping Li, Zilong Liu, Meng Yang, Yanghe Feng
2020 arXiv   pre-print
HpGAN is based on the idea of zero-sum game to train a generative model, which can generate sequences with characteristics similar to the training sequences.  ...  pairs (OB-ZCPs) which are not part of the training set.  ...  Such a region is called a zero-correlation zone (ZCZ).  ... 
arXiv:2012.05645v1 fatcat:6crymqazqjdsngifxlc4nz6gru

FPGA implementation analysis of polyphase channelizer performing sample rate change required for both matched filtering and channel frequency spacing

Mehmood Awan, Peter Koch, Chris Dick, Fred Harris
2010 2010 Conference Record of the Forty Fourth Asilomar Conference on Signals, Systems and Computers  
Thrane & Thrane A/S, Denmark.  ...  A special thanks goes to Jan Harding Thomsen and Bo Dyssegard from Thrane & Thrane A/S for their valuable discussions and suggestions throughout the system design.  ...  The variation in slice LUT usage within LPAs block RAM and LPAs distributed RAM is due to the different sets of states and control sequences for the polyphase engines with different embedded resampling  ... 
doi:10.1109/acssc.2010.5757590 fatcat:kcp4rrawubbs7mecgkwhqxmymu

Appropriate Algorithms for Estimating Frequency-Selective Rician Fading MIMO Channels and Channel Rice Factor: Substantial Benefits of Rician Model and Estimator Tradeoffs

Hamid Nooralizadeh, Shahriar Shirvani Moghaddam
2010 EURASIP Journal on Wireless Communications and Networking  
We propose the new technique of shifted scaled least squares (SSLS) and the minimum mean square error (MMSE) estimator that are suitable to estimate the above-mentioned channel model.  ...  Analytical results show that the proposed estimators achieve much better minimum possible Bayesian Cramér-Rao lower bounds (CRLBs) in the frequencyselective Rician MIMO channels compared with those of  ...  Masoud Esmaili, Faculty Member of Islamic Azad University for the selfless help he provided.  ... 
doi:10.1155/2010/753637 fatcat:cfbpio33lzbbfpbc4habg4oneu

Designing Binary Sequence Set with Optimized Correlation Properties via ADMM Approach [article]

Jiangtao Wang, Yongchao Wang
2021 arXiv   pre-print
First, we formulate the designing problem as a nonconvex combination optimization problem with flexible correlation interval; second, by relaxing constraints and introducing auxiliary variables, the original  ...  Simulation results demonstrate that the proposed ADMM approaches outperform state-of-the-art ones in either computational cost or selection of correlation interval of the designed binary sequences.  ...  Therefore, zero correlation zone (ZCZ) sequence, whose correlation values within a zone are zero, are proposed in [17] and and so do low correlation zone (LCZ) sequences in [18] .  ... 
arXiv:2110.02560v1 fatcat:m7df23hihbgd5gj2ms5q76p6za
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