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Influence of the finite-length registers and quantization effects on the reconstruction of sparse and approximately sparse signals is analyzed in this paper. For the nonquantized measurements, the compressive sensing (CS) framework provides…

Information Theory · Computer Science 2019-07-03 Isidora Stankovic , Milos Brajovic , Milos Dakovic , Cornel Ioana , Ljubisa Stankovic

The application of compressive sensing (CS) to structural health monitoring is an emerging research topic. The basic idea in CS is to use a specially-designed wireless sensor to sample signals that are sparse in some basis (e.g. wavelet…

Applications · Statistics 2015-03-31 Yong Huang , James L. Beck , Stephen Wu , Hui Li

We address the issue of applying quantized compressed sensing (CS) on low-energy telemonitoring. So far, few works studied this problem in applications where signals were only approximately sparse. We propose a two-stage data compressor…

Information Theory · Computer Science 2015-06-09 Benyuan Liu , Hongqi Fan , Qiang Fu , Zhilin Zhang

Abstract-One-bit compressive sensing (CS) is known to be particularly suited for resource-constrained wireless sensor networks (WSNs). In this paper, we consider 1-bit CS over noisy WSNs subject to channel-induced bit flipping errors, and…

Information Theory · Computer Science 2015-06-05 Ching-Hsien Chen , Jwo-Yuh Wu

One-bit compressive sensing (CS) is an advanced version of sparse recovery in which the sparse signal of interest can be recovered from extremely quantized measurements. Namely, only the sign of each measurement is available to us. In many…

Information Theory · Computer Science 2019-10-22 Hossein Beheshti , Sajad Daei , Farzan Haddadi

In this paper, a novel model-based distributed compressive sensing (DCS) algorithm is proposed. DCS exploits the inter-signal correlations and has the capability to jointly recover multiple sparse signals. Proposed approach is a Bayesian…

Signal Processing · Electrical Eng. & Systems 2020-10-19 Razieh Torkamani , Hadi Zayyani , Ramazan Ali Sadeghzadeh

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

The theory of compressive sensing (CS) asserts that an unknown signal $\mathbf{x} \in \mathbb{C}^N$ can be accurately recovered from $m$ measurements with $m\ll N$ provided that $\mathbf{x}$ is sparse. Most of the recovery algorithms need…

Methodology · Statistics 2017-10-12 Jianfeng Wang , Zhiyong Zhou , Anders Garpebring , Jun Yu

We consider the general problem of recovering a high-dimensional signal from noisy quantized measurements. Quantization, especially coarse quantization such as 1-bit sign measurements, leads to severe information loss and thus a good prior…

Signal Processing · Electrical Eng. & Systems 2023-02-21 Xiangming Meng , Yoshiyuki Kabashima

We consider a resource-constrained scenario where a compressed sensing- (CS) based sensor has a low number of measurements which are quantized at a low rate followed by transmission or storage. Applying this scenario, we develop a new…

Information Theory · Computer Science 2014-05-01 Amirpasha Shirazinia , Saikat Chatterjee , Mikael Skoglund

We study the average distortion introduced by scalar, vector, and entropy coded quantization of compressive sensing (CS) measurements. The asymptotic behavior of the underlying quantization schemes is either quantified exactly or…

Information Theory · Computer Science 2009-03-07 Wei Dai , Hoa Vinh Pham , Olgica Milenkovic

Sparse signals, encountered in many wireless and signal acquisition applications, can be acquired via compressed sensing (CS) to reduce computations and transmissions, crucial for resource-limited devices, e.g., wireless sensors. Since the…

Signal Processing · Electrical Eng. & Systems 2020-08-27 Markus Leinonen , Marian Codreanu

Compressive Sensing (CS) exploits the surprising fact that the information contained in a sparse signal can be preserved in a small number of compressive, often random linear measurements of that signal. Strong theoretical guarantees have…

Information Theory · Computer Science 2014-05-02 Armin Eftekhari , Michael B. Wakin

There have been a number of studies on sparse signal recovery from one-bit quantized measurements. Nevertheless, little attention has been paid to the choice of the quantization thresholds and its impact on the signal recovery performance.…

Information Theory · Computer Science 2013-05-21 Jun Fang , Yanning Shen , Hongbin Li

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

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

Compressive sensing (CS) is a new methodology to capture signals at lower rate than the Nyquist sampling rate when the signals are sparse or sparse in some domain. The performance of CS estimators is analyzed in this paper using tools from…

Information Theory · Computer Science 2014-09-09 Solomon A. Tesfamicael , Bruhtesfa E. Godana , Faraz Barzideh

In this paper, we investigate a Bayesian sparse reconstruction algorithm called compressive sensing via Bayesian support detection (CS-BSD). This algorithm is quite robust against measurement noise and achieves the performance of a minimum…

Information Theory · Computer Science 2012-05-15 Jaewook Kang , Heung-No Lee , Kiseon Kim

This paper studies a formulation of 1-bit Compressed Sensing (CS) problem based on the maximum likelihood estimation framework. In order to solve the problem we apply the recently proposed Gradient Support Pursuit algorithm, with a minor…

Information Theory · Computer Science 2013-04-25 Sohail Bahmani , Petros T. Boufounos , Bhiksha Raj

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
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