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We introduce several new constructions for perfect periodic autocorrelation sequences and arrays over the unit quaternions. This paper uses both mathematical proofs and com- puter experiments to prove the (bounded) array constructions have…

Information Theory · Computer Science 2017-01-06 Sam Blake

Low-discrepancy points are designed to efficiently fill the space in a uniform manner. This uniformity is highly advantageous in many problems in science and engineering, including in numerical integration, computer vision, machine…

Machine Learning · Computer Science 2025-10-07 Michael Etienne Van Huffel , Nathan Kirk , Makram Chahine , Daniela Rus , T. Konstantin Rusch

This paper presents a general framework for the design of linear controllers for linear systems subject to time-domain constraints. The design framework exploits sums-of-squares techniques to incorporate the time-domain constraints on…

Optimization and Control · Mathematics 2012-05-04 W. H. T. M. Aangenent , W. P. M. H. Heemels , M. J. G. Van De Molengraft , Didier Henrion , Maarten Steinbuch

A novel code construction based on spatially coupled low-density parity-check (SC-LDPC) codes is presented. The proposed code ensembles are described by protographs, comprised of several protograph-based chains characterizing individual…

Information Theory · Computer Science 2016-11-18 Dmitri Truhachev , David G. M. Mitchell , Michael Lentmaier , Daniel J. Costello

Signal to Noise Ratio (SNR) is an important index for wireless communications. In CDMA systems, spreading sequences are utilized. This series of papers show the method to derive spreading sequences as the solutions of the non-linear…

Information Theory · Computer Science 2016-12-28 Hirofumi Tsuda , Ken Umeno

Spectrum resources management of growing demands is a challenging problem and Cognitive Radio (CR) known to be capable of improving the spectrum utilization. Recently, Power Spectral Density (PSD) map is defined to enable the CR to reuse…

Information Theory · Computer Science 2017-03-17 Mohammad Eslami , Seyed Hamid Safavi , Farah Torkamani-Azar , Esfandiar Mehrshahi

The need for suitable many or infinite fermion correlation functions to describe some low dimensional strongly correlated systems is discussed. This is linked to the need for a correlated basis, in which the ground state may be postive…

Strongly Correlated Electrons · Physics 2009-10-30 C. W. M. Castleton , M. W. Long

In this paper, we propose a novel scheme called subband random sensing (SRS) grant free uplink for ultra-reliable low-latency communication (URLLC) in unlicensed spectrum. The SRS grant free uplink creatively combines the subband sensing,…

Information Theory · Computer Science 2021-09-24 Yonghong Zeng , Yuhong Wang , Sumei Sun , Yugang Ma

Constrained sequence (CS) codes, including fixed-length CS codes and variable-length CS codes, have been widely used in modern wireless communication and data storage systems. Sequences encoded with constrained sequence codes satisfy…

Information Theory · Computer Science 2019-06-17 Congzhe Cao , Duanshun Li , Ivan Fair

This paper focuses on controlling the absorbing set spectrum for a class of regular LDPC codes known as separable, circulant-based (SCB) codes. For a specified circulant matrix, SCB codes all share a common mother matrix, examples of which…

Information Theory · Computer Science 2011-06-02 Jiadong Wang , Lara Dolecek , Zhengya Zhang , Richard Wesel

We show how Carrollian symmetries become important in the construction of one-dimensional fermionic systems with all flat-band spectra from first principles. The key ingredient of this construction is the identification of Compact Localised…

High Energy Physics - Theory · Physics 2025-08-20 Nisa Ara , Aritra Banerjee , Rudranil Basu , Bhagya Krishnan

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

Controllable Pareto front learning (CPFL) approximates the Pareto solution set and then locates a Pareto optimal solution with respect to a given reference vector. However, decision-maker objectives were limited to a constraint region in…

Machine Learning · Computer Science 2024-02-12 Tran Anh Tuan , Nguyen Viet Dung , Tran Ngoc Thang

Detecting occupied subbands is a key task for wireless applications such as unlicensed spectrum access. Recently, detection methods were proposed that extract per-subband features from sub-Nyquist baseband samples and then apply…

Signal Processing · Electrical Eng. & Systems 2024-05-28 Hyojin Lee , Sangwoo Park , Osvaldo Simeone , Yonina C. Eldar , Joonhyuk Kang

Small cell network (SCN) offers, for the first time, a low-cost and scalable mechanism to meet the forecast data-traffic demand. In this paper, we propose a non-uniform SCN deployment scheme. The small cell base stations (BSs) in this…

Information Theory · Computer Science 2014-01-09 He Wang , Xiangyun Zhou , Mark C. Reed

In the evolving wireless communications landscape, addressing the challenges of multipath fading and high mobility remains paramount. This paper introduces the Unified Sequency-Frequency Multiplexing (USFM) framework, a pioneering…

Signal Processing · Electrical Eng. & Systems 2024-06-25 Zahir Alsulaimawi

Spatially-coupled (SC) codes, known for their threshold saturation phenomenon and low-latency windowed decoding algorithms, are ideal for streaming applications. They also find application in various data storage systems because of their…

Information Theory · Computer Science 2021-01-26 Siyi Yang , Ahmed Hareedy , Shyam Venkatasubramanian , Robert Calderbank , Lara Dolecek

The chordal ring (CR) graphs are a well-known family of graphs used to model some interconnection networks for computer systems in which all nodes are in a cycle. Generalizing the CR graphs, in this paper, we introduce the families of…

Combinatorics · Mathematics 2024-09-04 M. A. Reyes , C. Dalfó , M. A. Fiol

Dynamical systems in engineering and physics are often subject to irregular excitations that are best modeled as random. Monte Carlo simulations are routinely performed on such random models to obtain statistics on their long-term response.…

Dynamical Systems · Mathematics 2024-07-08 Zhenwei Xu , Roshan S. Kaundinya , Shobhit Jain , George Haller

Cognitive radio that supports a secondary and opportunistic access to licensed spectrum shows great potential to dramatically improve spectrum utilization. Spectrum sensing performed by secondary users to detect unoccupied spectrum bands,…

Information Theory · Computer Science 2009-05-29 Yan Xin , Honghai Zhang