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In the realm of modern digital communication, cryptography, and signal processing, binary sequences with a low correlation properties play a pivotal role. In the literature, considerable efforts have been dedicated to constructing good…

Number Theory · Mathematics 2024-07-29 Lingfei Jin , Liming Ma , Chaoping Xing , Runtian Zhu

The search for binary sequences with low peak sidelobe level value represents a formidable computational problem. To locate better sequences for this problem, we designed a stochastic algorithm that uses two fitness functions. In these…

Artificial Intelligence · Computer Science 2024-06-12 Borko Bošković , Janez Brest

In coded caching system we prefer to design a coded caching scheme with low subpacketization and small transmission rate (i.e., the low implementation complexity and the efficient transmission during the peak traffic times). Placement…

Information Theory · Computer Science 2020-09-08 Xi Zhong , Minquan Cheng , Ruizhong Wei

This paper presents two methods for approximating the performance of coded multicarrier systems operating over frequency-selective, quasi-static fading channels with non-ideal interleaving. The first method is based on approximating the…

Information Theory · Computer Science 2007-07-13 C. Snow , L. Lampe , R. Schober

The Multi-Carrier Code Division Multiple Access (MC-CDMA) is becoming a very significant downlink multiple access technique for high-rate data transmission in the fourth generation wireless communication systems. By means of efficient…

Networking and Internet Architecture · Computer Science 2012-09-17 Hema Kale , C. G. Dethe , M. M. Mushrif

Adaptive transmission schemes are a crucial aspect of the radio design for future wireless networks. The paper studies the performance of two classes of adaptive transmission schemes in a cellular downlink. One class is based on physical…

Information Theory · Computer Science 2019-04-01 Amogh Rajanna , Carl P. Dettmann

We investigate the multiple-input multiple-output broadcast channel with statistical channel state information available at the transmitter. The so-called linear assignment operation is employed, and necessary conditions are derived for the…

Information Theory · Computer Science 2015-06-22 Yongpeng Wu , Shi Jin , Xiqi Gao , Matthew R. McKay , Chengshan Xiao

We discuss a general method to construct correlated binomial distributions by imposing several consistent relations on the joint probability function. We obtain self-consistency relations for the conditional correlations and conditional…

Data Analysis, Statistics and Probability · Physics 2007-05-23 M. Hisakado , K. Kitsukawa , S. Mori

In this paper, we propose a new and optimal construction of two-dimensional (2-D) Z-complementary array code set (ZCACS) using multivariable extended Boolean functions (EBFs). The proposed 2-D arrays have many applications in modern…

Information Theory · Computer Science 2025-09-03 Abhishek Roy

We construct a sequence of finite graphs that weakly converge to a Cayley graph, but there is no labelling of the edges that would converge to the corresponding Cayley diagram. A similar construction is used to give graph sequences that…

Combinatorics · Mathematics 2020-05-11 Adam Timar

The flow of contracting systems contracts 1-dimensional polygons (i.e. lines) at an exponential rate. One reason for the usefulness of contracting systems is that many interconnections of contracting sub-systems yield an overall contracting…

Dynamical Systems · Mathematics 2022-10-20 Ron Ofir , Michael Margaliot , Yoash Levron , Jean-Jacques Slotine

Binary sequences with optimal autocorrelation play important roles in radar, communication, and cryptography. Finding new binary sequences with optimal autocorrelation has been an interesting research topic in sequence design.…

Information Theory · Computer Science 2017-07-26 Wei Su , Yang Yang , Cuiling Fan

Coded caching systems have been widely studied to reduce the data transmission during the peak traffic time. In practice, two important parameters of a coded caching system should be considered, i.e., the rate which is the maximum amount of…

Information Theory · Computer Science 2018-10-18 Minquan Cheng , Jie Li , Xiaohu Tang , Ruizhong Wei

We study the maximum score statistic to detect and estimate local signals in the form of change-points in the level, slope, or other property of a sequence of observations, and to segment the sequence when there appear to be multiple…

Statistics Theory · Mathematics 2021-11-03 Xiao Fang , David Siegmund

This paper investigates the performance of streaming codes in low-latency applications over a multi-link three-node relayed network. The source wishes to transmit a sequence of messages to the destination through a relay. Each message must…

Information Theory · Computer Science 2022-01-19 Gustavo Kasper Facenda , Elad Domanovitz , Ashish Khisti , Wai-Tian Tan , John Apostolopoulos

Simple and efficient algorithm based on heuristic search by shotgun hill climbing to construct binary sequences with small peak sidelobe levels (PSL) is suggested. The algorithm is applied for generation of binary sequences of lengths…

Signal Processing · Electrical Eng. & Systems 2020-07-28 Miroslav Dimitrov , Tsonka Baitcheva , Nikolay Nikolov

Constant modulus sequence having lower side-lobe levels in its auto-correlation function plays an important role in the applications like SONAR, RADAR and digital communication systems. In this paper, we consider the problem of minimizing…

Signal Processing · Electrical Eng. & Systems 2020-01-20 Surya Prakash Sankuru , Prabhu Babu

Correlation measure of order $k$ is an important measure of randomness in binary sequences. This measure tries to look for dependence between several shifted version of a sequence. We study the relation between the correlation measure of…

Information Theory · Computer Science 2021-07-27 Zhixiong Chen , Ana I. Gómez , Domingo Gómez-Pérez , Andrew Tirkel

Wise arrangement of antennas is critical in wireless cellular systems for both reduction of co-channel interference (CCI) and increase the quality of service (QoS). In this paper, a novel architecture for antenna arrangement in CDMA…

Networking and Internet Architecture · Computer Science 2012-08-23 Hamed Saghaei

{\bf Abstract.} Considered is the distribution of the cross correlation between $m$-sequences of length $2^m-1$, where $m$ is even, and $m$-sequences of shorter length $2^{m/2}-1$. The infinite family of pairs of $m$-sequences with…

Discrete Mathematics · Computer Science 2007-12-24 Tor Helleseth , Alexander Kholosha , Aina Johanssen