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Random binning is an efficient, yet complex, coding technique for the symmetric L-description source coding problem. We propose an alternative approach, that uses the quantized samples of a bandlimited source as "descriptions". By the…

Information Theory · Computer Science 2013-11-20 Adam Mashiach , Jan Ostergaard , Ram Zamir

An alternative to conventional uniform sampling is that of time encoding, which converts continuous-time signals into streams of trigger times. This gives rise to Event-Driven Sampling (EDS) models. The data-driven nature of EDS acquisition…

Information Theory · Computer Science 2022-10-11 Dorian Florescu , Ayush Bhandari

We address the problem of reconstructing a multi-band signal from its sub-Nyquist point-wise samples. To date, all reconstruction methods proposed for this class of signals assumed knowledge of the band locations. In this paper, we develop…

Cellular Automata and Lattice Gases · Physics 2007-09-12 Moshe Mishali , Yonina C. Eldar

In this paper, a novel decomposition method for non-stationary and nonlinear signals is proposed. This method is inspired by the adaptive wavelet filter bank of the empirical wavelet transform (EWT) and Fourier intrinsic band functions…

Signal Processing · Electrical Eng. & Systems 2019-12-03 Wei Zhou , Zhongren Feng , Xiongjiang Wang , Hao Lv

Finite-rate-of-innovation (FRI) signals are ubiquitous in applications such as radar, ultrasound, and time of flight imaging. Due to their finite degrees of freedom, FRI signals can be sampled at sub-Nyquist rates using appropriate sampling…

Signal Processing · Electrical Eng. & Systems 2021-07-02 Satish Mulleti , Haiyang Zhang , Yonina C. Eldar

An efficient computational approach for optimal reconstruction of binary-type images suitable for models in various applications including biomedical imaging is developed and validated. The methodology includes derivative-free optimization…

Optimization and Control · Mathematics 2022-09-27 Paul R. Arbic , Vladislav Bukshtynov

We analyze the problem of reconstruction of a bandlimited function $f$ from the space-time samples of its states $f_t=\phi_t\ast f$ resulting from the convolution with a kernel $\phi_t$. It is well-known that, in natural phenomena, uniform…

Classical Analysis and ODEs · Mathematics 2021-02-04 Akram Aldroubi , Karlheinz Gröchenig , Longxiu Huang , Philippe Jaming , Ilya Krishtal , José Luis Romero

The problem of sampling a discrete-time sequence of spatially bandlimited fields with a bounded dynamic range, in a distributed, communication-constrained, processing environment is addressed. A central unit, having access to the data…

Information Theory · Computer Science 2016-11-18 Animesh Kumar , Prakash Ishwar , Kannan Ramchandran

Faster-than-Nyquist (FTN) signaling aims at improving the spectral efficiency of wireless communication systems by exceeding the boundaries set by the Nyquist-Shannon sampling theorem. 50 years after its first introduction in the scientific…

Signal Processing · Electrical Eng. & Systems 2025-07-30 Bruno De Filippo , Carla Amatetti , Alessandro Vanelli-Coralli

We study the compressed sensing reconstruction problem for a broad class of random, band-diagonal sensing matrices. This construction is inspired by the idea of spatial coupling in coding theory. As demonstrated heuristically and…

Information Theory · Computer Science 2015-03-19 David L. Donoho , Adel Javanmard , Andrea Montanari

The recovery of bandlimited signals with high dynamic range is a hot issue in sampling research. The unlimited sampling theory expands the recordable range of traditional analog-to-digital converters (ADCs) arbitrarily, and the signal is…

Signal Processing · Electrical Eng. & Systems 2023-02-20 Hui Zhao , Bing-Zhao Li

The problem of 1-bit compressive sampling is addressed in this paper. We introduce an optimization model for reconstruction of sparse signals from 1-bit measurements. The model targets a solution that has the least l0-norm among all signals…

Information Theory · Computer Science 2013-02-07 Lixin Shen , Bruce W. Suter

Inverse problems arise in a multitude of applications, where the goal is to recover a clean signal from noisy and possibly (non)linear observations. The difficulty of a reconstruction problem depends on multiple factors, such as the ground…

Image and Video Processing · Electrical Eng. & Systems 2024-08-21 Zalan Fabian , Berk Tinaz , Mahdi Soltanolkotabi

Signal sampling and reconstruction is a fundamental engineering task at the heart of signal processing. The celebrated Shannon-Nyquist theorem guarantees perfect signal reconstruction from uniform samples, obtained at a rate twice the…

Signal Processing · Electrical Eng. & Systems 2020-02-19 Charilaos I. Kanatsoulis , Xiao Fu , Nicholas D. Sidiropoulos , Mehmet Akçakaya

We propose an adaptive iteratively linearized finite element method (AILFEM) in the context of strongly monotone nonlinear operators in Hilbert spaces. The approach combines adaptive mesh-refinement with an energy-contractive linearization…

Numerical Analysis · Mathematics 2025-03-18 Ani Miraçi , Dirk Praetorius , Julian Streitberger

The performance increase up to the sensor resolution in repetitive control (RC) invalidates the standard assumption in RC that data is available at equidistant time instances, e.g., in systems with package loss or when exploiting…

Systems and Control · Electrical Eng. & Systems 2023-03-31 Johan Kon , Nard Strijbosch , Sjirk Koekebakker , Tom Oomen

This paper introduces an innovative approach for signal reconstruction using data acquired through multi-input-multi-output (MIMO) sampling. First, we show that it is possible to perfectly reconstruct a set of periodic band-limited signals…

Information Theory · Computer Science 2024-09-09 Dong Cheng , Xiaoxiao Hu , Kit Ian Kou

Following the Unlimited Sampling strategy to alleviate the omnipresent dynamic range barrier, we study the problem of recovering a bandlimited signal from point-wise modulo samples, aiming to connect theoretical guarantees with hardware…

Information Theory · Computer Science 2022-04-06 Ayush Bhandari , Felix Krahmer , Thomas Poskitt

Test-time adaption (TTA) has witnessed important progress in recent years, the prevailing methods typically first encode the image and the text and design strategies to model the association between them. Meanwhile, the image encoder is…

Computer Vision and Pattern Recognition · Computer Science 2025-06-03 Yaxiong Wang , Zhenqiang Zhang , Lechao Cheng , Zhun Zhong , Dan Guo , Meng Wang

Spatial sampling is traditionally studied in a static setting where static sensors scattered around space take measurements of the spatial field at their locations. In this paper we study the emerging paradigm of sampling and reconstructing…

Multimedia · Computer Science 2015-06-12 Jayakrishnan Unnikrishnan , Martin Vetterli