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We present an online algorithm for reconstructing a signal from a set of non-uniform samples. By representing the signal using compactly supported basis functions, we show how estimating the expansion coefficients using least-squares can be…

Signal Processing · Electrical Eng. & Systems 2022-08-04 Justin Romberg

Online reconstruction of dynamic scenes is significant as it enables learning scenes from live-streaming video inputs, while existing offline dynamic reconstruction methods rely on recorded video inputs. However, previous online…

Computer Vision and Pattern Recognition · Computer Science 2026-01-13 Youngsik Yun , Jeongmin Bae , Hyunseung Son , Seoha Kim , Hahyun Lee , Gun Bang , Youngjung Uh

Modulo sampling is a promising technology to preserve amplitude information that exceeds the observable range of analog-to-digital converters during the digitization of analog signals. Since conventional methods typically reconstruct the…

Signal Processing · Electrical Eng. & Systems 2026-02-19 Haruka Kobayashi , Ryo Hayakawa

Signal processing on graph is attracting more and more attentions. For a graph signal in the low-frequency subspace, the missing data associated with unsampled vertices can be reconstructed through the sampled data by exploiting the…

Information Theory · Computer Science 2015-06-23 Xiaohan Wang , Pengfei Liu , Yuantao Gu

Applying image processing algorithms independently to each frame of a video often leads to undesired inconsistent results over time. Developing temporally consistent video-based extensions, however, requires domain knowledge for individual…

Computer Vision and Pattern Recognition · Computer Science 2018-08-02 Wei-Sheng Lai , Jia-Bin Huang , Oliver Wang , Eli Shechtman , Ersin Yumer , Ming-Hsuan Yang

We investigate real-time tracking of two correlated stochastic processes over a shared wireless channel. The joint evolution of the processes is modeled as a two-dimensional discrete-time Markov chain. Each process is observed by a…

Information Theory · Computer Science 2025-12-23 Mehrdad Salimnejad , Marios Kountouris , Nikolaos Pappas

Sampling is classically performed by recording the amplitude of an input signal at given time instants; however, sampling and reconstructing a signal using multiple devices in parallel becomes a more difficult problem to solve when the…

Signal Processing · Electrical Eng. & Systems 2020-04-22 Karen Adam , Adam Scholefield , Martin Vetterli

Reconstructing continuous signals from a small number of discrete samples is a fundamental problem across science and engineering. In practice, we are often interested in signals with 'simple' Fourier structure, such as bandlimited,…

Data Structures and Algorithms · Computer Science 2018-12-24 Haim Avron , Michael Kapralov , Cameron Musco , Christopher Musco , Ameya Velingker , Amir Zandieh

We consider the signal reconstruction problem under the case of the signals sampled in the multichannel way and with the presence of noise. Observing that if the samples are inexact, the rigorous enforcement of multichannel interpolation is…

Information Theory · Computer Science 2022-09-20 Dong Cheng , Xiaoxiao Hu , Kit Ian Kou

We propose a reformulation of the streaming dynamic mode decomposition method that requires maintaining a single orthonormal basis, thereby reducing computational redundancy. The proposed efficient streaming dynamic mode decomposition…

Systems and Control · Electrical Eng. & Systems 2025-07-08 Aditya Kale , Marcos Netto , Xinyang Zhou

Most of the existing methods for sparse signal recovery assume a static system: the unknown signal is a finite-length vector for which a fixed set of linear measurements and a sparse representation basis are available and an L1-norm…

Information Theory · Computer Science 2013-06-17 M. Salman Asif , Justin Romberg

Signal decomposition and multiscale signal analysis provide many useful tools for time-frequency analysis. We proposed a random feature method for analyzing time-series data by constructing a sparse approximation to the spectrogram. The…

Signal Processing · Electrical Eng. & Systems 2023-03-17 Nicholas Richardson , Hayden Schaeffer , Giang Tran

We investigate the dynamical sampling space-time trade-off problem within a graph setting. Specifically, we derive necessary and sufficient conditions for space-time sampling that enable the reconstruction of an initial band-limited signal…

Information Theory · Computer Science 2024-11-20 Akram Aldroubi , Victor Bailey , Ilya Krishtal , Brendan Miller , Armenak Petrosyan

Multiple stochastic signals possess inherent statistical correlations, yet conventional sampling methods that process each channel independently result in data redundancy. To leverage this correlation for efficient sampling, we model…

Signal Processing · Electrical Eng. & Systems 2025-09-18 Lin Jin , Hang Sheng , Hui Feng , Bo Hu

We propose and analyze an online algorithm for reconstructing a sequence of signals from a limited number of linear measurements. The signals are assumed sparse, with unknown support, and evolve over time according to a generic nonlinear…

Optimization and Control · Mathematics 2015-03-12 Joao F. C. Mota , Nikos Deligiannis , Aswin C. Sankaranarayanan , Volkan Cevher , Miguel R. D. Rodrigues

This paper presents a new method for signal reconstruction by leveraging sampled-data control theory. We formulate the signal reconstruction problem in terms of an analog performance optimization problem using a stable discrete-time filter.…

Information Theory · Computer Science 2015-06-16 Yutaka Yamamoto , Masaaki Nagahara , Pramod P. Khargonekar

Recently, it has been shown that a high resolution image can be obtained without the usage of a high resolution sensor. The main idea has been that a low resolution sensor is covered with a non-regular sampling mask followed by a…

Image and Video Processing · Electrical Eng. & Systems 2022-04-11 Markus Jonscher , Jürgen Seiler , Michel Bätz , Thomas Richter , Wolfgang Schnurrer , André Kaup

Reconstruction of undersampled periodic signals of unknown period is an important signal processing operation. It is especially difficult operation when the sequences of samples are short and no information on the inter-sequence time…

Signal Processing · Electrical Eng. & Systems 2021-05-18 Marek W. Rupniewski

Both a high spatial and a high temporal resolution of images and videos are desirable in many applications such as entertainment systems, monitoring manufacturing processes, or video surveillance. Due to the limited throughput of pixels per…

Image and Video Processing · Electrical Eng. & Systems 2022-04-08 Markus Jonscher , Jürgen Seiler , Daniela Lanz , Michael Schöberl , Michel Bätz , André Kaup

In many emerging applications, data streams are monitored in a network environment. Due to limited communication bandwidth and other resource constraints, a critical and practical demand is to online compress data streams continuously with…

Data Structures and Algorithms · Computer Science 2008-12-01 Emad Soroush , Kui Wu , Jian Pei
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