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One of the main challenges of the lattice design of synchrotrons, used as light sources or damping rings (DRs), is the minimization of the emittance. The optimal lattice configurations for achieving the absolute minimum emittance are the…

Accelerator Physics · Physics 2019-09-11 S. Papadopoulou , F. Antoniou , Y. Papaphilippou

We produce an explicit parameterization of well-rounded sublattices of the hexagonal lattice in the plane, splitting them into similarity classes. We use this parameterization to study the number, the greatest minimal norm, and the highest…

Number Theory · Mathematics 2010-10-28 Lenny Fukshansky , Daniel Moore , R. Andrew Ohana , Whitney Zeldow

The problem of designing high rate, full diversity noncoherent space-time block codes (STBCs) with low encoding and decoding complexity is addressed. First, the notion of $g$-group encodable and $g$-group decodable linear STBCs is…

Information Theory · Computer Science 2016-11-17 G. Susinder Rajan , B. Sundar Rajan

In the near future, the $5^{th}$ generation (5G) wireless systems will be established. They will consist of an integration of different techniques, including distributed antenna systems and massive multiple-input multiple-output systems,…

Information Theory · Computer Science 2017-10-17 Amaro Barreal , Camilla Hollanti

We study a class of rearrangement problems under a novel pick-n-swap prehensile manipulation model, in which a robotic manipulator, capable of carrying an item and making item swaps, is tasked to sort items stored in lattices of variable…

Robotics · Computer Science 2023-01-18 Jingjin Yu

Full-rate STBC (space-time block codes) with non-vanishing determinants achieve the optimal diversity-multiplexing tradeoff but incur high decoding complexity. To permit fast decoding, Sezginer, Sari and Biglieri proposed an STBC structure…

Information Theory · Computer Science 2016-11-17 Tian Peng Ren , Yong Liang Guan , Chau Yuen , Yue Zhou , Er Yang Zhang

We propose a new class of space-time block codes based on finite-field rank-metric codes in combination with a rank-metric-preserving mapping to the set of Eisenstein integers. It is shown that these codes achieve maximum diversity order…

Information Theory · Computer Science 2017-05-30 Sven Puchinger , Sebastian Stern , Martin Bossert , Robert F. H. Fischer

This paper considers a deterministic physical model of massive multiple-input multiple-output (MIMO) systems with uniform linear antenna arrays. It is known that the maximum spatial degrees of freedom is achieved by spacing antenna elements…

Information Theory · Computer Science 2016-01-22 Keigo Takeuchi

To realize mmWave massive MIMO systems in practice, Beamspace MIMO with beam selection provides an attractive solution at a considerably reduced number of radio frequency (RF) chains. We propose low-complexity beam selection algorithms…

Information Theory · Computer Science 2022-07-12 Jinxing Yang , Jihong Yu , Shuai Wang , Hao Liu

This paper studies the instantaneous rate maximization and the weighted sum delay minimization problems over a K-user multicast channel, where multiple antennas are available at the transmitter as well as at all the receivers. Motivated by…

Information Theory · Computer Science 2015-05-30 Hao Zhu , Narayan Prasad , Sampath Rangarajan

An effective way to design structured coherent wave interference patterns that builds on the theory of coherent lattices, is presented. The technique combines prime number factorization in the complex plane with moir\'e theory to provide a…

Pattern Formation and Solitons · Physics 2020-11-19 Dmitry Kouznetsov , Qingzhong Deng , Pol Van Dorpe , Niels Verellen

True-time-delay (TTD) beamformers can produce wideband, squint-free beams in both analog and digital signal domains, unlike frequency-dependent FFT beams. Our previous work showed that TTD beamformers can be efficiently realized using the…

Machine Learning · Computer Science 2025-03-27 Hansaka Aluvihare , Sivakumar Sivasankar , Xianqi Li , Arjuna Madanayake , Sirani M. Perera

In this work a theory is developed for unifying large classes of nonlinear discrete-time dynamical systems obeying a superposition of a weighted maximum or minimum type. The state vectors and input-output signals evolve on nonlinear spaces…

Systems and Control · Computer Science 2019-12-10 Petros Maragos

Lattice codes with optimal decoding coefficient are capacity-achieving when dimension $N \rightarrow \infty$. In communications systems, finite dimensional lattice codes are considered, where the optimal decoding coefficients may still fail…

Information Theory · Computer Science 2025-01-09 Jiajie Xue , Brian M. Kurkoski

Experimental designs that spread out points apart from each other on projections are important for computer experiments when not necessarily all factors have substantial influence on the response. We provide a theoretical framework to…

Statistics Theory · Mathematics 2020-04-28 Xu He

In this paper, we investigate the problem of downlink non-orthogonal multiple access (NOMA) over block fading channels. For the single antenna case, we propose a class of NOMA schemes where all the users' signals are mapped into…

Information Theory · Computer Science 2019-06-18 Min Qiu , Yu-Chih Huang , Jinhong Yuan

We introduce Decision Tree Decoders (DTDs), which rely only on the sparsity of the binary check matrix, making them broadly applicable for decoding any quantum low-density parity-check (qLDPC) code and fault-tolerant quantum circuits. DTDs…

Quantum Physics · Physics 2025-02-25 Kai R. Ott , Bence Hetényi , Michael E. Beverland

The current paper investigates the bounded distance decoding (BDD) problem for ensembles of lattices whose generator matrices have sub-Gaussian entries. We first prove that, for these ensembles the BDD problem is NP-hard in the worst case.…

Computational Complexity · Computer Science 2025-06-23 Shuhong Gao

The problem of communicating over the additive white Gaussian noise (AWGN) channel with lattice codes is addressed in this paper. Theoretically, Voronoi constellations have proved to yield very powerful lattice codes when the fine/coding…

Information Theory · Computer Science 2017-08-03 Nicola di Pietro , Joseph J. Boutros

We consider in this paper the design of full diversity and high rate space-time codes with moderate decoding complexity for arbitrary number of transmit and receive antennas and arbitrary input alphabets. We focus our attention to codes…

Information Theory · Computer Science 2010-01-21 Mohamed Oussama Damen , Hesham El Gamal , Ahmed A. Badr