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We present a new numerical scheme which combines the Spectral Difference (SD) method up to arbitrary high order with \emph{a-posteriori} limiting using the classical MUSCL-Hancock scheme as fallback scheme. It delivers very accurate…

Instrumentation and Methods for Astrophysics · Physics 2023-03-29 David Velasco-Romero , Maria Han Veiga , Romain Teyssier

We give an overview of recent developments in the problem of reconstructing a band-limited signal from non-uniform sampling from a numerical analysis view point. It is shown that the appropriate design of the finite-dimensional model plays…

Numerical Analysis · Mathematics 2025-10-20 Thomas Strohmer

Massive MIMO (Multiple-Input Multiple-Output) is a key enabler for 5G and future wireless systems, boosting channel capacity, energy efficiency, and spectral efficiency. However, high power consumption and hardware costs of…

Optimization and Control · Mathematics 2025-12-08 Jie Zhang , Huifu Xu

Sampling shift-invariant (SI) signals with a high dynamic range poses a notable challenge in the domain of analog-to-digital conversion (ADC). It is essential for the ADC's dynamic range to exceed that of the incoming analog signal to…

Signal Processing · Electrical Eng. & Systems 2024-06-18 Yhonatan Kvich , Yonina C. Eldar

We propose a learning-based approach for estimating the spectrum of a multisinusoidal signal from a finite number of samples. A neural-network is trained to approximate the spectra of such signals on simulated data. The proposed methodology…

Machine Learning · Computer Science 2019-06-03 Gautier Izacard , Brett Bernstein , Carlos Fernandez-Granda

Linear Non-Linear(LN) models are widely used to characterize the receptive fields of early-stage auditory processing. We apply the principle of efficient coding to the LN model of Spectro-Temporal Receptive Fields(STRFs) of the neurons in…

Neurons and Cognition · Quantitative Biology 2021-10-26 Pranav Sankhe , Prasanna Chaporkar

Modulo sampling and dithered one-bit quantization frameworks have emerged as promising solutions to overcome the limitations of traditional analog-to-digital converters (ADCs) and sensors. Modulo sampling, with its high-resolution approach…

Signal Processing · Electrical Eng. & Systems 2023-09-11 Arian Eamaz , Farhang Yeganegi , Mojtaba Soltanalian

Deep learning has been shown to be highly effective for automatic modulation classification (AMC), which is a pivotal technology for next-generation cognitive communications. Yet, existing deep learning methods for AMC often lack robust…

Signal Processing · Electrical Eng. & Systems 2025-12-03 Huian Yang , Rajeev Sahay

The signal differentiation problem involves the development of algorithms that allow to recover a signal's derivatives from noisy measurements. This paper develops a first-order differentiator with the following combination of properties:…

Systems and Control · Electrical Eng. & Systems 2025-04-01 Rodrigo Aldana-Lopez , Richard Seeber , Hernan Haimovich , David Gomez-Gutierrez

Sampling and quantization are crucial in digital signal processing, but quantization introduces errors, particularly due to distribution mismatch between input signals and quantizers. Existing methods to reduce this error require precise…

Signal Processing · Electrical Eng. & Systems 2024-09-09 Aman Rishal Chemmala , Satish Mulleti

An ambiguity-free direction-of-arrival (DOA) estimation scheme is proposed for sparse uniform linear arrays under low signal-to-noise ratios (SNRs) and non-stationary broadband signals. First, for achieving better DOA estimation performance…

Signal Processing · Electrical Eng. & Systems 2025-03-06 Wei Wang , Shefeng Yan , Linlin Mao , Zeping Sui , Jirui Yang

A channel with continuous phase modulation and 1-bit ADC with oversampling is considered. Due to oversampling, higher-order modulations yield a higher achievable rate and this work presents a method to approach this with sophisticated…

Information Theory · Computer Science 2019-12-06 Rodrigo R. M. de Alencar , Lukas T. N. Landau , Rodrigo C. de Lamare

Shannon's sampling theorem provides a link between the continuous and the discrete realms stating that bandlimited signals are uniquely determined by its values on a discrete set. This theorem is realized in practice using so called…

Information Theory · Computer Science 2017-11-10 Ayush Bhandari , Felix Krahmer , Ramesh Raskar

Analog-to-digital converters (ADCs) provide the link between continuous-time signals and their discrete-time counterparts, and the Shannon-Nyquist sampling theorem provides the mathematical foundation. Real-world signals have a variable…

Signal Processing · Electrical Eng. & Systems 2019-11-22 Adithya Krishna , Sunil Rudresh , Vishal Shaw , Hemanth Reddy Sabbella , Chandra Sekhar Seelamantula , Chetan Singh Thakur

In this work, the problem of signal parameter estimation from measurements acquired by a low-complexity analog-to-digital converter (ADC) with $1$-bit output resolution and an unknown quantization threshold is considered. Single-comparator…

Information Theory · Computer Science 2018-05-09 Manuel S. Stein , Shahar Bar , Josef A. Nossek , Joseph Tabrikian

Band-resolved frequency modulation spectroscopy is a common method to measure weak signals of radiative ensembles. When the optical depth of the medium is large, the signal drops exponentially and the technique becomes ineffective. In this…

Modulo sampling enables acquisition of signals with unlimited dynamic range by folding the input into a bounded interval prior to sampling, thus eliminating the risk of signal clipping and preserving information without requiring…

Signal Processing · Electrical Eng. & Systems 2025-10-22 Yhonatan Kvich , Rotem Arie , Hana Hasan , Shaik Basheeruddin Shah , Yonina C. Eldar

We consider the problem of discrete-time signal denoising, focusing on a specific family of non-linear convolution-type estimators. Each such estimator is associated with a time-invariant filter which is obtained adaptively, by solving a…

Statistics Theory · Mathematics 2018-06-13 Dmitrii Ostrovskii , Zaid Harchaoui

Linear (spectro) polarimetry is usually performed using separate photon flux measurements after spatial or temporal polarization modulation. Such classical polarimeters are limited in sensitivity and accuracy by systematic effects and…

Optics · Physics 2010-05-28 Frans Snik , Theodora Karalidi , Christoph U. Keller

The fundamental multidimensional line spectral estimation problem is addressed utilizing the Bayesian methods. Motivated by the recently proposed variational line spectral estimation (VALSE) algorithm, multidimensional VALSE (MDVALSE) is…

Information Theory · Computer Science 2020-07-15 Qi Zhang , Jiang Zhu , Ning Zhang , Zhiwei Xu