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A stepped wedge cluster randomized trial is a type of longitudinal cluster design that sequentially switches clusters to intervention over time until all clusters are treated. While the traditional posttest-only parallel design requires…

Applications · Statistics 2021-01-05 Fan Li

We introduce near triple arrays as binary row-column designs with at most two consecutive values for the replication numbers of symbols, for the intersection sizes of pairs of rows, pairs of columns and pairs of a row and a column. Near…

Combinatorics · Mathematics 2025-03-11 Alexey Gordeev , Klas Markström , Lars-Daniel Öhman

This paper presents a new column-and-constraint generation method for two-stage robust mixed-integer programs with finite uncertainty sets. Our method combines and extends speed-up techniques used in previous column-and-constraint…

Optimization and Control · Mathematics 2025-11-04 Marc Goerigk , Dorothee Henke , Johannes Kager , Fabian Schäfer , Clemens Thielen

The peak-to-mean envelope power ratio (PMEPR) of a code employed in orthogonal frequency-division multiplexing (OFDM) systems can be reduced by permuting its coordinates and by rotating each coordinate by a fixed phase shift. Motivated by…

Information Theory · Computer Science 2016-11-17 Kai-Uwe Schmidt

The widely used Zadoff-Chu sequence (ZC sequence) for random access preamble in 5G has limitations in terms of the total number of preambles generated, forcing the reuse of preambles. Hence, the probability of collision of preambles of UEs…

Information Theory · Computer Science 2022-04-12 Sagar Pawar , Lokesh Bommisetty , T. G. Venkatesh

In this paper, an algorithm for construction of multiple sets of two dimensional (2D) or matrix unipolar (optical) orthogonal codes has been proposed. Representations of these 2D codes in difference of positions representation (DoPR) have…

Information Theory · Computer Science 2013-09-10 Ram Chandra Singh Chauhan , Yatindra Nath Singh , Rachna Asthana

The capabilities of multi-antenna technology have recently been significantly enhanced by the proliferation of extra large array architectures. The high dimensionality of these systems implies that communications take place in the nearfield…

Information Theory · Computer Science 2024-12-11 Xavier Mestre , Adrian Agustin , David Sarda

Aiming to generate easy-to-handle assembly sequences for robotic assembly, this study tackles assembly sequence generation by considering two tradeoff objectives: (1) insertion conditions and (2) degrees of constraints among assembled…

Robotics · Computer Science 2021-11-18 Takuya Kiyokawa , Jun Takamatsu , Tsukasa Ogasawara

We have investigated one and two dimensional (1D and 2D) arrays of tunnel junctions in partial Coulomb blockade regime. The absolute accuracy of the Coulomb blockade thermometer is influenced by the external impedance of the array, which is…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 J. P. Pekola , L. J. Taskinen , Sh. Farhangfar

This paper presents a direct construction of an optimal symmetrical Z-complementary code set (SZCCS) of prime power lengths using a multi-variable function (MVF). SZCCS is a natural extension of the Z-complementary code set (ZCCS), which…

Information Theory · Computer Science 2023-05-03 Praveen Kumar , Sudhan Majhi , Subhabrata Paul

Two-dimensional (2D) fully-addressed arrays can conveniently realize three-dimensional (3D) ultrasound imaging while fully controlled such arrays usually demands thousands of independent channels, which is costly. Sparse array technique…

Signal Processing · Electrical Eng. & Systems 2025-11-27 Xi Zhang , Miguel Bernal , Wei-Ning Lee

We propose MNPCA, a novel non-linear generalization of (2D)$^2${PCA}, a classical linear method for the simultaneous dimension reduction of both rows and columns of a set of matrix-valued data. MNPCA is based on optimizing over separate…

Statistics Theory · Mathematics 2023-10-11 Joni Virta , Andreas Artemiou

In 2008, a class of binary sequences of period $N=4(2^k-1)(2^k+1)$ with optimal autocorrelation magnitude has been presented by Yu and Gong based on an $m$-sequence, the perfect sequence $(0,1,1,1)$ of period $4$ and interleaving technique.…

Information Theory · Computer Science 2020-09-17 Yuhua Sun , Tongjiang Yan , Qiuyan Wang

Phased array radar systems have a wide variety of applications in engineering and physics research. Phased array design usually requires numerical modeling with expensive commercial computational packages. Using the open-source MIT…

High Energy Astrophysical Phenomena · Physics 2021-02-10 Jordan C. Hanson

We introduce a construction for families of 2n-dimensional arrays with asymptotically optimal pairwise cross-correlation. These arrays are constructed using a circulant array of n-dimensional Legendre arrays. We also introduce an…

Information Theory · Computer Science 2020-02-24 Sam Blake

In caching system, it is desirable to design a coded caching scheme with the transmission load $R$ and subpacketization $F$ as small as possible, in order to improve efficiency of transmission in the peak traffic times and to decrease…

Information Theory · Computer Science 2021-06-01 Minquan Cheng , Jinyu Wang , Xi Zhong , Qiang Wang

This letter presents an innovative design and implementation method for an ultra-wideband dual-polarized conformal phased array. The performance of single-layer continuous dipoles under bending conditions is evaluated through characteristic…

Information Theory · Computer Science 2024-08-07 Zhan Chen , Wei Hu , Yuchen Gao , Xiangbo Wang , Qi Luo

This paper introduces the batch-parallel Compressed Packed Memory Array (CPMA), a compressed, dynamic, ordered set data structure based on the Packed Memory Array (PMA). Traditionally, batch-parallel sets are built on pointer-based data…

Data Structures and Algorithms · Computer Science 2024-02-20 Brian Wheatman , Randal Burns , Aydın Buluç , Helen Xu

Except for Koshy who devotes seven pages to applications of Fibonacci Numbers to electric circuits, most books and the Fibonacci Quarterly have been relatively silent on applications of graphs and electric circuits to Fibonacci numbers.…

Combinatorics · Mathematics 2022-07-27 Emily J. Evans , Russell J. Hendel

This paper examines the Arithmetically Cohen-Macaulay (ACM) property for certain codimension 2 varieties in $\mathbb P^1\times \mathbb P^2$ called sets of lines in $\mathbb P^1\times \mathbb P^2$ (not necessarily reduced). We discuss some…

Commutative Algebra · Mathematics 2021-02-12 Giuseppe Favacchio , Juan Migliore