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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 2016-11-03 Yanting Ma , Junan Zhu , Dror Baron

Compressed sensing (CS) shows that a signal having a sparse or compressible representation can be recovered from a small set of linear measurements. In classical CS theory, the sampling matrix and representation matrix are assumed to be…

Information Theory · Computer Science 2015-07-03 Yipeng Liu

This paper introduces a sparse projection matrix composed of discrete (digital) periodic lines that create a pseudo-random (p.frac) sampling scheme. Our approach enables random Cartesian sampling whilst employing deterministic and…

Image and Video Processing · Electrical Eng. & Systems 2024-01-09 Marlon Bran Lorenzana , Benjamin Cottier , Matthew Marques , Andrew Kingston , Shekhar S. Chandra

This correspondence presents a novel sensing-assisted sparse channel recovery approach for massive antenna wireless communication systems. We focus on a fundamental configuration with one massive-antenna base station (BS) and one…

Information Theory · Computer Science 2023-11-13 Zixiang Ren , Ling Qiu , Jie Xu , Derrick Wing Kwan Ng

In this letter, a binary sparse Bayesian learning (BSBL) algorithm is proposed to slove the one-bit compressed sensing (CS) problem in both single measurement vector (SMV) and multiple measurement vectors (MMVs). By utilising the…

Information Theory · Computer Science 2018-05-09 Jiang Zhu , Lin Han , Xiangming Meng , Zhiwei Xu

Compressive sensing (CS) is a promising technology for realizing energy-efficient wireless sensors for long-term health monitoring. However, conventional model-driven CS frameworks suffer from limited compression ratio and reconstruction…

Machine Learning · Computer Science 2016-12-19 Kai Xu , Yixing Li , Fengbo Ren

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

Analog-to-Digital Converters (ADCs) are essential components in modern data acquisition systems. A key design challenge is accommodating high dynamic range (DR) input signals without clipping. Existing solutions, such as oversampling,…

Signal Processing · Electrical Eng. & Systems 2024-12-18 Shaik Basheeruddin Shah , Satish Mulleti , Yonina C. Eldar

In compressed sensing, we wish to reconstruct a sparse signal $x$ from observed data $y$. In sparse coding, on the other hand, we wish to find a representation of an observed signal $y$ as a sparse linear combination, with coefficients $x$,…

Computer Vision and Pattern Recognition · Computer Science 2013-11-25 Will Landecker , Rick Chartrand , Simon DeDeo

In this work we address the problem of blindly reconstructing compressively sensed signals by exploiting the co-sparse analysis model. In the analysis model it is assumed that a signal multiplied by an analysis operator results in a sparse…

Information Theory · Computer Science 2013-03-27 Julian Wörmann , Simon Hawe , Martin Kleinsteuber

Manifold amount of video data gets generated every minute as we read this document, ranging from surveillance to broadcasting purposes. There are two roadblocks that restrain us from using this data as such, first being the storage which…

Computer Vision and Pattern Recognition · Computer Science 2019-07-10 Sathyaprakash Narayanan , Yeshwanth Bethi , Chetan Singh Thakur

We consider the problem of recursively reconstructing time sequences of sparse signals (with unknown and time-varying sparsity patterns) from a limited number of linear incoherent measurements with additive noise. The idea of our proposed…

Information Theory · Computer Science 2010-03-25 Namrata Vaswani

This letter presents an adaptive spectrum sensing algorithm that detects wideband spectrum using sub-Nyquist sampling rates. By taking advantage of compressed sensing (CS), the proposed algorithm reconstructs the wideband spectrum from…

Information Theory · Computer Science 2013-03-11 Hongjian Sun , Wei-Yu Chiu , A. Nallanathan

Based on $\alpha$-stable random projections with small $\alpha$, we develop a simple algorithm for compressed sensing (sparse signal recovery) by utilizing only the signs (i.e., 1-bit) of the measurements. Using only 1-bit information of…

Methodology · Statistics 2015-11-12 Ping Li

This paper exploits recent developments in compressive sensing (CS) to efficiently perform the direction finding via amplitude comprarison. The new method is proposed based on unimodal characteristic of antenna pattern and sparse property…

Information Theory · Computer Science 2010-06-25 Ruiming Yang , Yipeng Liu , Qun Wan , Wanlin Yang

Compressive sensing (CS) is an emerging field based on the revelation that a small collection of linear projections of a sparse signal contains enough information for stable, sub-Nyquist signal acquisition. When a statistical…

Information Theory · Computer Science 2009-06-25 Dror Baron , Shriram Sarvotham , Richard G. Baraniuk

Recently, the 1-bit compressive sensing (1-bit CS) has been studied in the field of sparse signal recovery. Since the amplitude information of sparse signals in 1-bit CS is not available, it is often the support or the sign of a signal that…

Information Theory · Computer Science 2015-07-23 Yun-Bin Zhao , Chunlei XU

In orthogonal frequency division modulation (OFDM) communication systems, channel state information (CSI) is required at receiver due to the fact that frequency-selective fading channel leads to disgusting inter-symbol interference (ISI)…

Information Theory · Computer Science 2015-04-22 Guan Gui , Li Xu , Lin Shan , Fumiyuki Adachi

Compressive sensing (CS) is a new technology which allows the acquisition of signals directly in compressed form, using far fewer measurements than traditional theory dictates. Recently, many so-called signal space methods have been…

Numerical Analysis · Mathematics 2015-11-13 Xiaoyi Gu , Deanna Needell , Shenyinying Tu

Compressed sensing has been employed to reduce the pilot overhead for channel estimation in wireless communication systems. Particularly, structured turbo compressed sensing (STCS) provides a generic framework for structured sparse signal…

Information Theory · Computer Science 2018-11-09 Xiaoyan Kuai , Lei Chen , Xiaojun Yuan , An Liu