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Because optical systems have huge bandwidth and are capable of generating low noise short pulses they are ideal for undersampling multi-band signals that are located within a very broad frequency range. In this paper we propose a new scheme…

Optics · Physics 2009-11-13 Amir Rosenthal , Alex Linden , Moshe Horowitz

As technology grows, higher frequency signals are required to be processed in various applications. In order to digitize such signals, conventional analog to digital convertors are facing implementation challenges due to the higher sampling…

Information Theory · Computer Science 2014-11-27 Amir Zandieh , Alireza Zareian , Masoumeh Azghani , Farokh Marvasti

This paper presents a regularized sampling method for multiband signals, that makes it possible to approach the Landau limit, while keeping the sensitivity to noise at a low level. The method is based on band-limited windowing, followed by…

Information Theory · Computer Science 2015-05-18 J. Selva

This paper considers efficient sampling of simultaneously sparse and correlated (S$\&$C) signals. Such signals arise in various applications in array processing. We propose an implementable sampling architecture for the acquisition of…

Information Theory · Computer Science 2023-01-19 Ali Ahmed , Fahad Shamshad , Humera Hameed

Signal recovery is one of the key techniques of Compressive sensing (CS). It reconstructs the original signal from the linear sub-Nyquist measurements. Classical methods exploit the sparsity in one domain to formulate the L0 norm…

Information Theory · Computer Science 2012-06-05 Yipeng Liu , Ivan Gligorijevic , Vladimir Matic , Maarten De Vos , Sabine Van Huffel

The random equivalent sampling (RES) is a well-known sampling technique that can be used to capture a high-speed repetitive waveform with low sampling rate. In this paper, the feasibility of spectrum-blind multiband signal reconstruction…

Instrumentation and Detectors · Physics 2017-01-10 Yijiu Zhao , Li Wang , Houjun Wang , Changjian Liu

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

We demonstrate experimentally an optical system for under-sampling several bandwidth limited signals with carrier frequencies that are not known apriori that can be located anywhere within a very broad frequency region between 0-18 GHz. The…

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 study the problem of recovering sparse signals from compressed linear measurements. This problem, often referred to as sparse recovery or sparse reconstruction, has generated a great deal of interest in recent years. To recover the…

Methodology · Statistics 2016-01-01 Jian Wang , Ping Li

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

As an alternative to the traditional sampling theory, compressed sensing allows acquiring much smaller amount of data, still estimating the spectra of frequency-sparse signals accurately. However, compressed sensing usually requires random…

Information Theory · Computer Science 2016-07-22 Shan Huang , Hong Sun , Haijian Zhang , Lei Yu

Compressed Sensing (CS) is an effective approach to reduce the required number of samples for reconstructing a sparse signal in an a priori basis, but may suffer severely from the issue of basis mismatch. In this paper we study the problem…

Information Theory · Computer Science 2014-02-04 Yuejie Chi

With the development of numbers of high resolution data acquisition systems and the global requirement to lower the energy consumption, the development of efficient sensing techniques becomes critical. Recently, Compressed Sampling (CS)…

Information Theory · Computer Science 2015-06-11 Mohammad Golbabaee , Simon Arberet , Pierre Vandergheynst

In signal processing and data recovery, reconstructing a signal from quadratic measurements poses a significant challenge, particularly in high-dimensional settings where measurements $m$ is far less than the signal dimension $n$ (i.e., $m…

Information Theory · Computer Science 2025-07-11 Jinming Wen , Yi Hu , Meng Huang

We develop sub-Nyquist sampling systems for analog signals comprised of several, possibly overlapping, finite duration pulses with unknown shapes and time positions. Efficient sampling schemes when either the pulse shape or the locations of…

Information Theory · Computer Science 2015-03-17 Ewa Matusiak , Yonina C. Eldar

Millimeter wave multiple-input multiple-output (MIMO) communication systems must operate over sparse wireless links and will require large antenna arrays to provide high throughput. To achieve sufficient array gains, these systems must…

Signal Processing · Electrical Eng. & Systems 2019-04-17 Wei Zhang , Taejoon Kim , David J. Love

Cross-correlation is a popular signal processing technique used in numerous location tracking systems for obtaining reliable range information. However, its efficient design and practical implementation has not yet been achieved on mote…

Other Computer Science · Computer Science 2016-06-14 Prasant Misra , Wen Hu , Mingrui Yang , Marco Duarte , Sanjay Jha

We propose a novel random triggering based modulated wideband compressive sampling (RT-MWCS) method to facilitate efficient realization of sub-Nyquist rate compressive sampling systems for sparse wideband signals. Under the assumption that…

Information Theory · Computer Science 2017-03-07 Yijiu Zhao , Yu Hen Hu , Jingjing Liu

It is now well understood that (1) it is possible to reconstruct sparse signals exactly from what appear to be highly incomplete sets of linear measurements and (2) that this can be done by constrained L1 minimization. In this paper, we…

Methodology · Statistics 2007-11-13 Emmanuel J. Candes , Michael B. Wakin , Stephen P. Boyd
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