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We consider two-dimensional $(\lambda_1, \lambda_2)$-constacyclic codes over $\mathbb{F}_{q}$ of area $M N$, where $q$ is some power of prime $p$ with $\gcd(M,p)=1$ and $\gcd(N,p)=1$. With the help of common zero (CZ) set, we characterize…

Information Theory · Computer Science 2025-12-24 Vidya Sagar , Shikha Patel , Ashutosh Singh , Shayan Srinivasa Garani

In this paper, we propose a fully-integrated radar and communication system -- named ComSens. We utilize two different pilot sequences (one for uplink and one for downlink) with the condition that they must be uncorrelated to each other.…

Information Theory · Computer Science 2017-09-22 Mohammadreza Mousaei , Mojtaba Soltanalian , Besma Smida

In active sensing systems, waveforms with ambiguity functions (AFs) of low peak sidelobe levels (PSLs) across a time delay and Doppler frequency shift plane (delay-Doppler plane) of interest are desirable for reducing false alarms.…

Signal Processing · Electrical Eng. & Systems 2025-04-09 Weiting Lin , Yuwei Chang , Borching Su

Zero-shot learning (ZSL) aims to recognize unseen objects using disjoint seen objects via sharing attributes. The generalization performance of ZSL is governed by the attributes, which transfer semantic information from seen classes to…

Computer Vision and Pattern Recognition · Computer Science 2019-07-23 Xiaofeng Xu , Ivor W. Tsang , Chuancai Liu

We develop a new effective approximation of the Mori-Zwanzig equation based on operator series expansions of the orthogonal dynamics propagator. In particular, we study the Faber series, which yields asymptotically optimal approximations…

Mathematical Physics · Physics 2018-01-12 Yuanran Zhu , Daniele Venturi

This paper studies Flag sequences for low-complexity delay-Doppler estimation by exploiting their distinctive peak-curtain ambiguity functions (AFs). Unlike the existing Flag sequence designs that are limited to prime lengths and periodic…

Information Theory · Computer Science 2025-03-10 Lingsheng Meng , Yong Liang Guan , Yao Ge , Zilong Liu

Low-dimensional chaotic systems such as the Lorenz-63 model are commonly used to benchmark system-agnostic methods for learning dynamics from data. Here we show that learning from noise-free observations in such systems can be achieved up…

Chaotic Dynamics · Physics 2025-07-15 Christof Schötz , Niklas Boers

The paper studies recoverability of missing values for sequences in a pathwise setting without probabilistic assumptions. This setting is oriented on a situation where the underlying sequence is considered as a sole sequence rather than a…

Information Theory · Computer Science 2017-01-05 Nikolai Dokuchaev

We investigate the dynamic behavior of lattices with disorder introduced through non-local network connections. Inspired by the Watts-Strogatz small-world model, we employ a single parameter to determine the probability of local connections…

Applied Physics · Physics 2022-07-27 Matheus I. N. Rosa , Massimo Ruzzene

This chapter investigates the properties of (linear) codes in $ A_n $ lattices, the practical motivation for which is found in several communication scenarios, such as asymmetric channels, sticky-insertion channels, bit-shift channels, and…

Combinatorics · Mathematics 2019-11-18 Mladen Kovačević

We present two new approaches for the design of a Zeeman-Slower, which rely on optimal compliance with the adiabatic following condition and are applicable to a wide variety of systems. The first approach is an analytical one, based on the…

Atomic Physics · Physics 2013-02-25 Ben Ohayon , Guy Ron

This article deals with stability of continuous-time switched linear systems under constrained switching. Given a family of linear systems, possibly containing unstable dynamics, we characterize a new class of switching signals under which…

Systems and Control · Computer Science 2017-11-27 Atreyee Kundu , Debasish Chatterjee

In our first paper [2] we explained why the Zak-OTFS input-output (I/O) relation is predictable and non-fading when the delay and Doppler periods are greater than the effective channel delay and Doppler spreads, a condition which we refer…

Signal Processing · Electrical Eng. & Systems 2023-10-03 Saif Khan Mohammed , Ronny Hadani , Ananthanarayanan Chockalingam , Robert Calderbank

The theory of complex trees is introduced as a new approach to study a broad class of self-similar sets. Systems of equations encoded by complex trees tip-to-tip equivalence relations are used to obtain one-parameter families of connected…

Dynamical Systems · Mathematics 2019-11-13 Bernat Espigule

We introduce surface ZZZY codes, a novel family of quantum error-correcting codes designed for asymmetric channels. Derived from standard surface codes through tailored modification of generators, ZZZY codes can be decoded by the minimum…

Quantum Physics · Physics 2024-09-17 Diego Forlivesi , Lorenzo Valentini , Marco Chiani

Future wireless networks targeted for improving spectral and energy efficiency, are expected to simultaneously provide sensing functionality and support low-power communications. This paper proposes a novel net-zero integrated sensing and…

Signal Processing · Electrical Eng. & Systems 2025-03-04 Yu Zhang , Tongyang Xu , Christos Masouros , Zhu Han

This paper presents a novel algorithm for reachability analysis of nonlinear discrete-time systems. The proposed method combines constrained zonotopes (CZs) with polyhedral relaxations of factorable representations of nonlinear functions to…

Systems and Control · Electrical Eng. & Systems 2025-04-17 Brenner S. Rego , Guilherme V. Raffo , Marco H. Terra , Joseph K. Scott

Cell-free Massive multiple-input multiple-output (MIMO) ensures ubiquitous communication at high spectral efficiency (SE) thanks to increased macro-diversity as compared cellular communications. However, system scalability and performance…

Information Theory · Computer Science 2019-09-09 Giovanni Interdonato , Marcus Karlsson , Emil Björnson , Erik G. Larsson

The search for binary sequences with a high figure of merit, known as the low autocorrelation binary sequence ($labs$}) problem, represents a formidable computational challenge. To mitigate the computational constraints of the problem, we…

Data Structures and Algorithms · Computer Science 2017-05-09 Borko Bošković , Franc Brglez , Janez Brest

In image recognition, there are many cases where training samples cannot cover all target classes. Zero-shot learning (ZSL) utilizes the class semantic information to classify samples of the unseen categories that have no corresponding…

Computer Vision and Pattern Recognition · Computer Science 2018-06-25 Fan Wu , Kai Tian , Jihong Guan , Shuigeng Zhou