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We study Sigma-Delta ($\Sigma\Delta$) quantization of oversampled bandlimited functions. We prove that digitally integrating blocks of bits and then down-sampling, a process known as decimation, can efficiently encode the associated…

Information Theory · Computer Science 2023-07-19 Ingrid Daubechies , Rayan Saab

This paper studies the symbol error rate performance of cognitive radio transmissions in the presence of imperfect sensing decisions. Two different transmission schemes, namely sensing-based spectrum sharing (SSS) and opportunistic spectrum…

Information Theory · Computer Science 2013-12-04 Gozde Ozcan , M. Cenk Gursoy , Sinan Gezici

Conventional analog-to-digital converters (ADCs) clip when signals exceed their input range. Modulo (unlimited) sampling overcomes this limitation by folding the signal before digitization, but existing recovery methods are either…

Signal Processing · Electrical Eng. & Systems 2025-09-17 Wenyi Yan , Zeyuan Li , Lu Gan , Honqing Liu , Guoquan Li

Coarsely quantized MIMO signalling methods have gained popularity in the recent developments of massive MIMO as they open up opportunities for massive MIMO implementation using cheap and power-efficient radio-frequency front-ends. This…

Information Theory · Computer Science 2020-01-08 Mingjie Shao , Wing-Kin Ma , Qiang Li , Lee Swindlehurst

Large-scale multiple-antenna systems have been identified as a promising technology for the next generation of wireless systems. However, by scaling up the number of receive antennas the energy consumption will also increase. One possible…

Information Theory · Computer Science 2019-10-08 Z. Shao , L. Landau , R. C. de Lamare

This paper focuses on channel estimation in single-user and multi-user MIMO systems with multi-antenna base stations equipped with 1-bit spatial sigma-delta analog-to-digital converters (ADCs). A careful selection of the quantization…

Signal Processing · Electrical Eng. & Systems 2021-09-21 R. S. Prasobh Sankar , Sundeep Prabhakar Chepuri

This paper introduces a Compressed Sensing (CS) estimation scheme for Orthogonal Time Frequency Space (OTFS) channels with sparse multipath. The OTFS waveform represents signals in a two dimensional Delay-Doppler (DD) orthonormal basis. The…

Information Theory · Computer Science 2021-11-25 Felipe Gómez-Cuba

A discrete-time Wiener phase noise channel model is introduced in which multiple samples are available at the output for every input symbol. A lower bound on the capacity is developed. At high signal-to-noise ratio (SNR), if the number of…

Information Theory · Computer Science 2014-05-13 Hassan Ghozlan , Gerhard Kramer

In this article, we investigate the convergence rate of the discrete-time Clark--Ocone formula provided by Akahori--Amaba--Okuma [1]. In that paper, they mainly focus on the $L_{2}$-convergence rate of the first-order error estimate related…

Probability · Mathematics 2021-10-15 Tsubasa Nishimura , Kenji Yasutomi , Tomooki Yuasa

Primary health care frequently relies on low-cost imaging devices, which are commonly used for screening purposes. To ensure accurate diagnosis, these systems depend on advanced reconstruction algorithms designed to approximate the…

Computer Vision and Pattern Recognition · Computer Science 2026-03-06 Thomas Pinetz , Veit Hucke , Hrvoje Bogunovic

Via extensive Monte Carlo simulations along with systematic analyses of corrections to scaling, we estimate the order parameter critical exponent $\beta$ of absorbing phase transitions in systems with two symmetric absorbing states. The…

Statistical Mechanics · Physics 2020-05-18 Su-Chan Park

The demands of accuracy in measurements and engineering models today, renders the condition number of problems larger. While a corresponding increase in the precision of floating point numbers ensured a stable computing, the uncertainty in…

Numerical Analysis · Mathematics 2022-09-12 Puneet Jain , Krishna Manglani , Murugesan Venkatapathi

We study the complete one-loop contributions to the chromagnetic dipole moment $\Delta\kappa$ of the top quark in the Standard Model, two Higgs doublet models, topcolor assited technicolor models (TC2), 331 models and extended models with a…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Martínez , M. A. Pérez , N. Poveda T

Orthogonal time frequency and space (OTFS) modulation is a promising technology that satisfies high Doppler requirements for future mobile systems. OTFS modulation encodes information symbols and pilot symbols into the two-dimensional (2D)…

Information Theory · Computer Science 2021-01-22 Noriyuki Hashimoto , Noboru Osawa , Kosuke Yamazaki , Shinsuke Ibi

Reliable communication over delay-constrained block-fading channels with discrete inputs and mismatched (imperfect) channel state information at the transmitter (CSIT) is studied. The CSIT mismatch is modeled as Gaussian random variables,…

Information Theory · Computer Science 2009-06-02 Tung T. Kim , Albert Guillen i Fabregas

We consider fluctuations of error terms $\Delta(x)$ appearing in the asymptotic formula for a summatory function of coefficients of the Dirichlet series. These are quantified via $\Omega$ and $\Omega_{\pm}$ estimates. We obtain $\Omega$…

Number Theory · Mathematics 2018-07-27 Kamalakshya Mahatab , Anirban Mukhopadhyay

We study the problem of differentially private second moment estimation and present a new algorithm that achieve strong privacy-utility trade-offs even for worst-case inputs under subsamplability assumptions on the data. We call an input…

Machine Learning · Computer Science 2025-05-21 Bar Mahpud , Or Sheffet

This article is concerned with the convergence of the state estimate obtained from the discrete time Kalman filter to the continuous time estimate as the temporal discretization is refined. We derive convergence rate estimates for different…

Optimization and Control · Mathematics 2015-12-10 Atte Aalto

We derive error bounds for CUR matrix approximation using determinant-based methods that relate local projection errors to global approximation quality. For general matrices, we establish determinant identities for bordered Gramian matrices…

Numerical Analysis · Mathematics 2026-03-05 Frank de Hoog , Markus Hegland

In this article, we obtain explicit approximations of the modified error function introduced in Cho, Sunderland. Journal of Heat Transfer 96-2 (1974), 214-217, as part of a Stefan problem with a temperature-dependent thermal conductivity.…

Classical Analysis and ODEs · Mathematics 2018-04-25 Andrea N. Ceretani , Natalia N. Salva , Domingo A. Tarzia