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Frequency hopping sequences (FHSs) are employed to mitigate the interferences caused by the hits of frequencies in frequency hopping spread spectrum systems. In this paper, we present some new algebraic and combinatorial constructions for…

Information Theory · Computer Science 2015-06-25 Jingjun Bao , Lijun Ji

In literatures, there are various constructions of frequency hopping sequence (FHS for short) sets with good Hamming correlations. Some papers employed only multiplicative groups of finite fields to construct FHS sets, while other papers…

Information Theory · Computer Science 2018-12-24 Xianhua Niu , Chaoping Xing

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

In this paper, we construct three classes of strictly optimal frequency-hopping sequence (FHS) sets with respect to partial Hamming correlation and family size. The first class is based on a generic construction, the second and third…

Information Theory · Computer Science 2019-05-14 Yi Ouyang , Xianhong Xie , Honggang Hu , Ming Mao

Frequency hopping (FH) sequences play a key role in frequency hopping spread spectrum communication systems. It is important to find FH sequences which have simultaneously good Hamming correlation, large family size and large period. In…

Information Theory · Computer Science 2010-09-21 Fang Liu , Daiyuan Peng , Zhengchun Zhou , Xiaohu Tang

In frequency-hopping multiple-access (FHMA) systems, the average Hamming correlation (AHC) among frequency-hopping sequences (FHSs) as well as the maximum Hamming correlation (MHC) is an important performance measure. Therefore, it is a…

Information Theory · Computer Science 2011-08-18 Jin-Ho Chung , Kyeongcheol Yang

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

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 FHS sets with optimal…

Information Theory · Computer Science 2016-10-13 Jingjun Bao

Collision-free Frequency Hopping Sequences (FHS) are crucial for maintaining the throughput of Frequency Hopping Multiple Access (FHMA) communication systems. When multiple FHS deployed in the same geographical area hop into the same…

Signal Processing · Electrical Eng. & Systems 2024-08-23 M Kavi Priya , K Giridhar

In this paper, a new class of frequency hopping sequences (FHSs) of length $ p^{n} $ is constructed by using Ding-Helleseth generalized cyclotomic classes of order 2, of which the Hamming auto- and cross-correlation functions are…

Cryptography and Security · Computer Science 2017-06-15 Minglong Qi , Shenwu Xiong , Jingling Yuan

We present a new family of one-coincidence sequence sets suitable for frequency hopping code division multiple access (FH-CDMA) systems with dispersed (low density) sequence elements. These sets are derived from one-coincidence prime…

Information Theory · Computer Science 2017-12-11 Lenny Fukshansky , Ahmad Adib Shaar

This paper proposes a methodology for optimizing a frequency-hopping network that uses continuous-phase frequency-shift keying and adaptive capacity-approaching channel coding. The optimization takes into account the spatial distribution of…

Information Theory · Computer Science 2015-08-25 Salvatore Talarico , Matthew C. Valenti , Don Torrieri

The correlation properties of sequences form a focal point in the design of multiple access systems of communications. Such a system must be able to serve a number of simultaneous users while keeping interference low. A popular choice for…

Information Theory · Computer Science 2021-09-29 Gaojun Luo , Martianus Frederic Ezerman , San Ling

Optimal partitioned cyclic difference packings (PCDPs) are shown to give rise to optimal frequency-hopping sequences and optimal comma-free codes. New constructions for PCDPs, based on almost difference sets and cyclic difference matrices,…

Information Theory · Computer Science 2016-11-17 Yeow Meng Chee , Alan C. H. Ling , Jianxing Yin

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 focus of this thesis is the study and construction of covering arrays, relying on maximal period sequences and other tools from finite fields. A covering array of strength $t$, denoted $\mathrm{CA}(N; t, k,v)$, is an $N\times k$ array…

Combinatorics · Mathematics 2017-08-29 Georgios Tzanakis

We present several results about position heaps, a relatively new alternative to suffix trees and suffix arrays. First, we show that, if we limit the maximum length of patterns to be sought, then we can also limit the height of the heap and…

Data Structures and Algorithms · Computer Science 2013-01-15 Travis Gagie , Wing-Kai Hon , Tsung-Han Ku

Dynamic feature selection (DFS) is a machine learning framework in which features are acquired sequentially for individual samples under budget constraints. The exponential growth in the number of possible feature acquisition paths forces a…

Machine Learning · Computer Science 2026-05-13 Javier Fumanal-Idocin , Raquel Fernandez-Peralta , Javier Andreu-Perez

We introduce a novel ensemble approach for feature selection based on hierarchical stacking for non-stationarity and/or a limited number of samples with a large number of features. Our approach exploits the co-dependency between features…

Machine Learning · Computer Science 2024-10-08 Aysin Tumay , Mustafa E. Aydin , Ali T. Koc , Suleyman S. Kozat

We introduce a framework for designing Hamiltonian engineering pulse sequences that systematically accounts for the effects of higher-order contributions to the Floquet-Magnus expansion. Our techniques result in simple, intuitive decoupling…

Quantum Physics · Physics 2024-01-15 Matthew Tyler , Hengyun Zhou , Leigh S. Martin , Nathaniel Leitao , Mikhail D. Lukin
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