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Compressive imaging is an emerging application of compressed sensing, devoted to acquisition, encoding and reconstruction of images using random projections as measurements. In this paper we propose a novel method to provide a scalable…

Information Theory · Computer Science 2013-10-07 Diego Valsesia , Enrico Magli

Compressed sensing (CS) with prior information concerns the problem of reconstructing a sparse signal with the aid of a similar signal which is known beforehand. We consider a new approach to integrate the prior information into CS via…

Information Theory · Computer Science 2017-05-23 Xu Zhang , Wei Cui , Yulong Liu

Emerging sonography techniques often imply increasing in the number of transducer elements involved in the imaging process. Consequently, larger amounts of data must be acquired and processed by the beamformer. The significant growth in the…

Other Computer Science · Computer Science 2012-01-06 Noam Wagner , Yonina C. Eldar , Arie Feuer , Zvi Friedman

Image recovery from compressive measurements requires a signal prior for the images being reconstructed. Recent work has explored the use of deep generative models with low latent dimension as signal priors for such problems. However, their…

Computer Vision and Pattern Recognition · Computer Science 2021-03-02 Niklas Smedemark-Margulies , Jung Yeon Park , Max Daniels , Rose Yu , Jan-Willem van de Meent , Paul Hand

The construction of highly incoherent frames, sequences of vectors placed on the unit hyper sphere of a finite dimensional Hilbert space with low correlation between them, has proven very difficult. Algorithms proposed in the past have…

Information Theory · Computer Science 2016-11-28 Cristian Rusu , Nuria González-Prelcic

Conventional data compression schemes aim at implementing a trade-off between the rate required to represent the compressed data and the resulting distortion between the original and reconstructed data. However, in more and more…

Signal Processing · Electrical Eng. & Systems 2024-05-14 Yifei Sun , Hang Zou , Chao Zhang , Samson Lasaulce , Michel Kieffer

The field of compressed sensing has shown that a sparse but otherwise arbitrary vector can be recovered exactly from a small number of randomly constructed linear projections (or samples). The question addressed in this paper is whether an…

Information Theory · Computer Science 2010-01-26 Galen Reeves , Michael Gastpar

Compressed sensing is a scheme that allows for sparse signals to be acquired, transmitted and stored using far fewer measurements than done by conventional means employing Nyquist sampling theorem. Since many naturally occurring signals are…

Signal Processing · Electrical Eng. & Systems 2023-03-29 Aditi Kathpalia , Nithin Nagaraj

This paper presents an approach for visible light communication-based indoor positioning using compressed sensing. We consider a large number of light emitting diodes (LEDs) simultaneously transmitting their positional information and a…

Information Theory · Computer Science 2018-05-04 Kristina Gligoric , Manisha Ajmani , Dejan Vukobratovic , Sinan Sinanovic

Multilinear Compressive Learning (MCL) is an efficient signal acquisition and learning paradigm for multidimensional signals. The level of signal compression affects the detection or classification performance of a MCL model, with higher…

Computer Vision and Pattern Recognition · Computer Science 2021-09-06 Dat Thanh Tran , Moncef Gabbouj , Alexandros Iosifidis

Recent results in compressed sensing showed that the optimal subsampling strategy should take into account the sparsity pattern of the signal at hand. This oracle-like knowledge, even though desirable, nevertheless remains elusive in most…

Information Theory · Computer Science 2023-06-28 Simon Ruetz

In remote control, efficient compression or representation of control signals is essential to send them through rate-limited channels. For this purpose, we propose an approach of sparse control signal representation using the compressive…

Systems and Control · Computer Science 2015-06-16 Masaaki Nagahara , Takahiro Matsuda , Kazunori Hayashi

The theory of Compressed Sensing, the emerging sampling paradigm 'that goes against the common wisdom', asserts that 'one can recover signals in Rn from far fewer samples or measurements, if the signal has a sparse representation in some…

Information Theory · Computer Science 2013-11-01 Ankit Kundu , Pradosh K. Roy

Non-convex constraints have recently proven a valuable tool in many optimisation problems. In particular sparsity constraints have had a significant impact on sampling theory, where they are used in Compressed Sensing and allow structured…

Information Theory · Computer Science 2012-05-09 Thomas Blumensath

A stylized compressed sensing radar is proposed in which the time-frequency plane is discretized into an N by N grid. Assuming the number of targets K is small (i.e., K much less than N^2), then we can transmit a sufficiently "incoherent"…

Numerical Analysis · Mathematics 2015-05-13 Matthew A. Herman , Thomas Strohmer

Compressed sensing is the art of reconstructing a sparse vector from its inner products with respect to a small set of randomly chosen measurement vectors. It is usually assumed that the ensemble of measurement vectors is in isotropic…

Information Theory · Computer Science 2014-02-25 Richard Kueng , David Gross

For wideband spectrum sensing, compressive sensing has been proposed as a solution to speed up the high dimensional signals sensing and reduce the computational complexity. Compressive sensing consists of acquiring the essential information…

Signal Processing · Electrical Eng. & Systems 2018-02-13 Fatima Salahdine , Naima Kaabouch , Hassan El Ghazi

Modern compression algorithms exploit complex structures that are present in signals to describe them very efficiently. On the other hand, the field of compressed sensing is built upon the observation that "structured" signals can be…

Information Theory · Computer Science 2016-01-08 Farideh Ebrahim Rezagah , Shirin Jalali , Elza Erkip , H. Vincent Poor

Numerous applications in signal processing have benefited from the theory of compressed sensing which shows that it is possible to reconstruct signals sampled below the Nyquist rate when certain conditions are satisfied. One of these…

Multimedia · Computer Science 2012-03-27 Cagdas Bilen , Yao Wang , Ivan Selesnick

We demonstrate a wavefront sensor based on the compressive sensing, single-pixel camera. Using a high-resolution spatial light modulator (SLM) as a variable waveplate, we weakly couple an optical field's transverse-position and polarization…

Optics · Physics 2014-07-30 Gregory A. Howland , Daniel J. Lum , John C. Howell