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Constructions of binary sequences with low autocorrelation are considered in the paper. Based on recent progresses about this topic, several more general constructions of binary sequences with optimal autocorrelations and other low…

Information Theory · Computer Science 2014-11-18 Tongjiang Yan , Guang Gong

Sets of sequences with good correlation properties are desired in many active sensing and communication systems, e.g., multiple-input-multiple-output (MIMO) radar systems and code-division multiple-access (CDMA) cellular systems. In this…

Optimization and Control · Mathematics 2016-05-04 Junxiao Song , Prabhu Babu , Daniel P. Palomar

The autocorrelation and the linear complexity of a key stream sequence in a stream cipher are important cryptographic properties. Many sequences with these good properties have interleaved structure, three classes of binary sequences of…

Cryptography and Security · Computer Science 2018-01-29 Shidong Zhang , Tongjiang Yan

Pseudorandom sequences are used extensively in communications and remote sensing. Correlation provides one measure of pseudorandomness, and low correlation is an important factor determining the performance of digital sequences in…

Information Theory · Computer Science 2018-06-14 Daniel J. Katz

Unimodular sequences with low autocorrelations are desired in many applications, especially in the area of radar and code-division multiple access (CDMA). In this paper, we propose a new algorithm to design unimodular sequences with low…

Optimization and Control · Mathematics 2023-07-19 Junxiao Song , Prabhu Babu , Daniel P. Palomar

Like other pseudorandom sequences, decimal sequences may be used in designing a Code Division Multiple Access (CDMA) system. They appear to be ideally suited for this since the cross-correlation of d-sequences taken over the LCM of their…

Information Theory · Computer Science 2008-04-22 Sandeep Chalasani

Interleaving is a mechanism universally used in wireless access technologies to alleviate the effect of channel correlation. In spite of its wide adoption, to the best of our knowledge, there are no analytical models proposed so far. In…

Information Theory · Computer Science 2018-01-31 Dmitri Moltchanov , Pavel Kustarev , Yevgeni Kucharyavy

The performance of a CDMA based wireless system is largely dependent on the characteristics of pseudo-random spreading codes. The spreading codes should be carefully chosen to ensure highest possible peak value of auto-correlation function…

Information Theory · Computer Science 2012-06-12 Deepak Kedia

Sequences with low aperiodic autocorrelation sidelobes are well known to have extensive applications in active sensing and communication systems. In this paper, we consider the problem of minimizing the weighted integrated sidelobe level…

Optimization and Control · Mathematics 2016-04-20 Junxiao Song , Prabhu Babu , Daniel P. Palomar

Frequency-hopping sequences (FHSs) with low Hamming correlation and wide gaps significantly contribute to the anti-interference performance in FH communication systems. This paper investigates FHSs with optimal Hamming correlation and…

Information Theory · Computer Science 2025-06-03 Chen Li , Chunlei Li , Xiangyong Zeng , Dian Li

A linking system of difference sets is a collection of mutually related group difference sets, whose advantageous properties have been used to extend classical constructions of systems of linked symmetric designs. The central problems are…

Combinatorics · Mathematics 2018-04-23 Jonathan Jedwab , Shuxing Li , Samuel Simon

Sequences with a low correlation have very important applications in communications, cryptography, and compressed sensing. In the literature, many efforts have been made to construct good sequences with various lengths where binary…

Information Theory · Computer Science 2022-10-25 Lingfei Jin , Liming Ma , Chaoping Xing

An issue of the parameter selection in various branches of a multi-antenna receiver system determines its effectiveness. A significant effect on these parameters are correlation properties of received signals. In this paper, the assessment…

Information Theory · Computer Science 2025-03-25 Cezary Ziolkowski , Jan M. Kelner , Leszek Nowosielski

In this paper, the design of binary sequences exhibiting low values of aperiodic/periodic correlation functions, in terms of Integrated Sidelobe Level (ISL), is pursued via a learning-inspired method. Specifcally, the synthesis of either a…

Signal Processing · Electrical Eng. & Systems 2023-05-17 Omid Rezaei , Mahdi Ahmadi , Mohammad Mahdi Naghsh , Augusto Aubry , Mohammad Mahdi Nayebi , Antonio De Maio

Frequency hopping sequences (FHSs) with favorable partial Hamming correlation properties have important applications in many synchronization and multiple-access systems. In this paper, we investigate constructions of FHSs and FHS sets with…

Information Theory · Computer Science 2015-11-12 Jingjun Bao , Lijun Ji

Protocol sequences are used in channel access for the multiple-access collision channel without feedback. A new construction of protocol sequences with a guarantee of worst-case system throughput is proposed. The construction is based on…

Information Theory · Computer Science 2010-04-28 Kenneth W. Shum , Wing Shing Wong

We introduce and investigate the opportunities of multi-antenna communication schemes whose training and feedback stages are interleaved and mutually interacting. Specifically, unlike the traditional schemes where the transmitter first…

Information Theory · Computer Science 2018-08-17 Erdem Koyuncu , Xun Zou , Hamid Jafarkhani

The simplicity of a question such as wondering if correlations characterize or not a certain system collides with the experimental difficulty of accessing such information. Here we present a low demanding experimental approach which refers…

This paper presents the first concerted look at low correlation sequence families over QAM constellations of size M^2=4^m and their potential applicability as spreading sequences in a CDMA setting. Five constructions are presented, and it…

Information Theory · Computer Science 2016-11-17 M. Anand , P. Vijay Kumar

Sequences with good correlation properties are widely used in engineering applications, especially in the area of communications. Among the known sequences, cyclotomic families have the optimal autocorrelation property. In this paper, we…

Information Theory · Computer Science 2009-09-28 Kai Cai , Rongquan Feng , Zhiming Zheng
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