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We propose a new technique for adaptive identification of sparse systems based on the compressed sensing (CS) theory. We manipulate the transmitted pilot (input signal) and the received signal such that the weights of adaptive filter…

Information Theory · Computer Science 2012-04-05 Seyed Hossein Hosseini , Mahrokh G. Shayesteh

Compressive sensing is a methodology for the reconstruction of sparse or compressible signals using far fewer samples than required by the Nyquist criterion. However, many of the results in compressive sensing concern random sampling…

Information Theory · Computer Science 2013-06-11 Atul Divekar , Deanna Needell

Compressed sensing (CS) is a signal acquisition paradigm to simultaneously acquire and reduce dimension of signals that admit sparse representations. When such a signal is acquired according to the principles of CS, the measurements still…

Information Theory · Computer Science 2019-11-19 Arman Arian , Ozgur Yilmaz

Reducing acquisition time is a crucial challenge for many imaging techniques. Compressed Sensing (CS) theory offers an appealing framework to address this issue since it provides theoretical guarantees on the reconstruction of sparse…

Applications · Statistics 2014-07-17 Nicolas Chauffert , Philippe Ciuciu , Jonas Kahn , Pierre Weiss

Compressed sensing (CS) demonstrates that a sparse, or compressible signal can be acquired using a low rate acquisition process below the Nyquist rate, which projects the signal onto a small set of vectors incoherent with the sparsity…

Information Theory · Computer Science 2014-02-25 Yuli Sun , Jinxu Tao

We study compressed sensing (CS) signal reconstruction problems where an input signal is measured via matrix multiplication under additive white Gaussian noise. Our signals are assumed to be stationary and ergodic, but the input statistics…

Information Theory · Computer Science 2014-10-22 Yanting Ma , Junan Zhu , Dror Baron

Snapshot compressed sensing (CS) refers to compressive imaging systems in which multiple frames are mapped into a single measurement frame. Each pixel in the acquired frame is a noisy linear mapping of the corresponding pixels in the frames…

Information Theory · Computer Science 2019-04-30 Shirin Jalali , Xin Yuan

Compressive Sensing (CS) theory shows that a signal can be decoded from many fewer measurements than suggested by the Nyquist sampling theory, when the signal is sparse in some domain. Most of conventional CS recovery approaches, however,…

Computer Vision and Pattern Recognition · Computer Science 2014-04-30 Jian Zhang , Debin Zhao , Feng Jiang , Wen Gao

Compressive sensing (CS) exploits the sparsity present in many signals to reduce the number of measurements needed for digital acquisition. With this reduction would come, in theory, commensurate reductions in the size, weight, power…

Information Theory · Computer Science 2015-05-28 Mark A. Davenport , Jason N. Laska , John R. Treichler , Richard G. Baraniuk

Compressed Sensing (CS) facilitates rapid image acquisition by selecting a small subset of measurements sufficient for high-fidelity reconstruction. Adaptive CS seeks to further enhance this process by dynamically choosing future…

Image and Video Processing · Electrical Eng. & Systems 2024-07-12 Noam Elata , Tomer Michaeli , Michael Elad

In this paper, we consider the problem of multi-resolution compressed sensing (MR-CS) reconstruction, which has received little attention in the literature. Instead of always reconstructing the signal at the original high resolution (HR),…

Information Theory · Computer Science 2016-01-21 Xing Wang , Jie Liang

Compressed sensing (CS) exploits the sparsity of a signal in order to integrate acquisition and compression. CS theory enables exact reconstruction of a sparse signal from relatively few linear measurements via a suitable nonlinear…

Information Theory · Computer Science 2014-09-04 Shmuel Friedland , Qun Li , Dan Schonfeld , Edgar A. Bernal

Exploiting intrinsic structures in sparse signals underpins the recent progress in compressive sensing (CS). The key for exploiting such structures is to achieve two desirable properties: generality (\ie, the ability to fit a wide range of…

Signal Processing · Electrical Eng. & Systems 2018-12-26 Suwichaya Suwanwimolkul , Lei Zhang , Dong Gong , Zhen Zhang , Chao Chen , Damith C. Ranasinghe , Qinfeng Shi

Blind signal separation (BSS) is an important and challenging signal processing task. Given an observed signal which is a superposition of a collection of unknown (hidden/latent) signals, BSS aims at recovering the separate, underlying…

Numerical Analysis · Mathematics 2024-06-25 Truman Hickok , Sriram Nagaraj

We consider the problem of reconstructing time sequences of spatially sparse signals (with unknown and time-varying sparsity patterns) from a limited number of linear "incoherent" measurements, in real-time. The signals are sparse in some…

Information Theory · Computer Science 2016-11-17 Namrata Vaswani

Spectrum resources are facing huge demands and cognitive radio (CR) can improve the spectrum utilization. Recently, power spectral density (PSD) map is defined to enable the CR to reuse the frequency resources regarding to the area. For…

Information Theory · Computer Science 2016-12-12 Mohammad Eslami , Farah Torkamani-Azar , Esfandiar Mehrshahi

In this paper, we develop a new framework for sensing and recovering structured signals. In contrast to compressive sensing (CS) systems that employ linear measurements, sparse representations, and computationally complex convex/greedy…

Machine Learning · Computer Science 2016-09-01 Ali Mousavi , Ankit B. Patel , Richard G. Baraniuk

In structural health monitoring (SHM) systems, massive amounts of data are often generated that need data compression techniques to reduce the cost of signal transfer and storage. Compressive sensing (CS) is a novel data acquisition method…

Applications · Statistics 2014-12-16 Yong Huang , James L. Beck , Stephen Wu , Hui Li

Reliable and energy-efficient wireless data transmission remains a major challenge in resource-constrained wireless neural recording tasks, where data compression is generally adopted to relax the burdens on the wireless data link.…

Information Theory · Computer Science 2016-02-02 Biao Sun , Wenfeng Zhao , Xinshan Zhu

Compressive sensing (CS) is a promising technology for realizing energy-efficient wireless sensors for long-term health monitoring. In this paper, we propose a data-driven CS framework that learns signal characteristics and individual…

Information Theory · Computer Science 2016-12-20 Kai Xu , Yuhao Wang , Yixing Li , Fengbo Ren